A commercial jet liner hits an air pocket and drops 282 feet. After climbing 143 feet up it drops another 161 feet. What is its overall vertical change?

Answers

Answer 1

Answer:

Therefore the overall vertical change is a drop of 300 feet.

Step-by-step explanation:

i) The overall vertical change is given by = -282 feet + 143 feet - 161 feet = -300 feet.

ii) Therefore the overall vertical change is a drop of 300 feet. A drop is represented as negative and a climb is represented as positive.


Related Questions

26,208/42 find the quotient?

Answers

Final answer:

The quotient of 26,208 divided by 42 is 624. This is a straightforward division problem that can often be solved using a calculator or through long division by hand.

Explanation:

To find the quotient of 26,208 divided by 42, you need to perform a division operation. When you divide 26,208 by 42, you'll find that the answer is 624 without any remainder. This is a straightforward division problem that can often be solved using a calculator or through long division by hand.

The population of Cincinnati is 301,305 people. If 28.7% of people in Cincinnati live poverty, how many people live in poverty

Answers

Answer:

86,475 people live in poverty.

Step-by-step explanation:

We are given that the Total Cincinnati population is [tex]X_{TOT}=301,305[/tex] people.

We want to find the [tex]28.7[/tex]% of the Total population that lives in poverty. To do so we can use:

[tex]X_{POV}=\frac{28.7}{100}X_{TOT}[/tex]

where [tex]X_{POV}[/tex] is the amount of people that live in poperty. Plugging in values and solving we have:

[tex]X_{POV}=\frac{28.7}{100}301,305 \\X_{POV}=0.287*301,305\\X_{POV}=86,474.535[/tex]

However since here we are referring to number of people (i.e. population) we can not accept any irrational values so we need to round up our value so that

[tex]X_{POV}=86,475[/tex] people live in poverty in Cincinnati.

Final answer:

To find how many people live in poverty in Cincinnati, multiply the city's total population by the given percentage (expressed as a decimal). In this case, it is 301,305 * 0.287, which equals 86,574. Thus, an estimated 86,574 people live in poverty in Cincinnati.

Explanation:

To find out how many people live in poverty in Cincinnati, you need to calculate 28.7% of the city's total population. To calculate the percentage of a number, you can multiply that number by the percentage expressed as a decimal. The calculation will look like this:

Population x Percentage = Number of people in poverty

So, it will be:

301,305 x 0.287 = 86,574.135

Normally in population estimates, we don't count fractions of people, so we'll round this down to the nearest whole number. Therefore, the number of people living in poverty in Cincinnati is approximately 86,574.

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f(x)= x2-5x+2. Find f(-4)

Answers

Answer:

f ( 4 ) = 18

Step-by-step explanation:

Explanation:

f ( x ) = 5 x − 2

Replace  4  instead of  x  to find  f ( 4 )

f ( 4 ) = 5 ( 4 ) − 2 = 20 − 2 = 18

Final answer:

The value of f(-4) for the function f(x) = x^2 - 5x + 2 is 38.

Explanation:

To find the value of f(-4) for the function f(x) = x^2 - 5x + 2, you substitute -4 for x in the function.

It looks like this:

f(-4) = (-4)^2 - 5(-4) + 2

First, you square -4, which is (-4)^2 = 16.

Then, you calculate -5 times -4, which is 20.

Finally, you add 2 to the result.

So, f(-4) is equal to:

f(-4) = 16 - 20 + 2 = 38

The final answer is 38.

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Samar likes to snack frequently during the day, but he wants his snacks to provide at least 24 grams of protein per day. Each snack pack provides 4 grams of protein and each minibite provides 1 gram. snack pack cost 50 cents each and minibites 12 cents. how many of each snack should he use to minimize his daily cost?

Answers

Answer:

  24 minibites

Step-by-step explanation:

The cost of protein in the snack pack is ...

  $0.50/(4 g) = $0.125/g

The cost of protein in the minibites is ...

  $0.12/(1 g) = $0.120/g

Since the cost of protein is less for minibites, and the only criterion is the amount of protein, the lowest-cost snack mix is 24 minibites.

Answer:

24 minibites

Step-by-step explanation:hoped tt his helped

16)
Use the triangle inequality theorem to determine the smallest angle in the figure.
ZSCI
ZCIS
ZCSI
Lisc

Answers

Answer:

∠CIS.

Step-by-step explanation:

This angle is opposite from the smallest side. Therefore, according to the triangle inequality, it is the smallest angle.

Final answer:

The smallest angle that the angular momentum vector can make with the z-axis for an electron with quantum number l=2 is found using the magnetic quantum numbers. For m₁=+2, the angle would be the smallest, approaching 0 degrees.

Explanation:

The question pertains to the calculation of the smallest angle that the angular momentum vector ℓ can make with the z-axis given the quantum number l for an electron. To find this, we use the concept of quantized angular momentum in quantum mechanics.

For an electron with a quantum number l=2, it can have multiple magnetic quantum numbers m₁, ranging from -l to +l. Therefore, for l=2, m₁ can be -2, -1, 0, 1, or 2. Each of these values corresponds to a different angle with the z-axis.

The smallest angle corresponds to the maximum value of m₁, which is 2 in this case. The formula cos 0 = Lz/L uses the magnetic quantum number m₁ and the total angular momentum to calculate the cosine of the angle. For m₁=+1, the value of cos 0 would be 0.707, using the provided ratios and simplifying the formulas given. This corresponds to an angle whose cosine is 0.707, which through the inverse cosine function can be determined to be approximately 45 degrees. However, for m₁=+2, the angle would be even smaller, approaching 0 degrees as the z-component of angular momentum becomes maximally aligned with the z-axis.

Solve the system of linear equations by substitution.
5x+2y=9
x+y= -3

Answers

Answer:

Step-by-step explanation:

5x+2y=9.......(1)

x+y= -3.........(2)

Making y as subject bin (2)

y = -3 - x

Substituting in (1)

5x + 2(-3 - x) = 9

5x - 6 - 2x = 9

3x = 9 + 6

3x = 15

x = 15/3

x = 5

And y = -3 - x

y = -3 - 5

y = -8

Answer:

The solution for the system of linear equations is x = 5, y = -8

Step-by-step explanation:

Let's solve the system of linear equations by substitution:

5x + 2y = 9

x + y = -3

Solving for x in the 1st equation, this way:

5x + 2y = 9

5x = 9 - 2y

x = (9 - 2y)/5

Substituting x in the 2nd equation:

x + y = -3

(9 - 2y)/5 + y = -3

9 - 2y + 5y = - 15 (Multiplying by 5 at both sides)

3y = - 15 - 9

y = -24/3

y = - 8

Substituting y in the 1st equation:

5x + 2y = 9

5x + 2 * - 8 = 9

5x - 16 = 9

5x = 25

x = 25/5 = 5

The solution for the system of linear equations is x = 5, y = -8

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?

Answers

The width of rectangle is [tex]2\frac{1}{4}\ cm[/tex] and length is [tex]5\frac{5}{12}\ cm[/tex]

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+[tex]3\frac{1}{6}=w+\frac{19}{6}[/tex]

Perimeter of rectangle = [tex]15\frac{1}{3}=\frac{46}{3}\ cm[/tex]

Perimeter of rectangle = 2(Length + Width)

[tex]2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}[/tex]

Subtracting [tex]\frac{19}{3}[/tex] from both sides

[tex]4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}[/tex]

Therefore,

Width of rectangle = w = [tex]\frac{9}{4}=2\frac{1}{4}[/tex] cm

Length of rectangle = [tex]w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm[/tex]

The width of rectangle is [tex]2\frac{1}{4}\ cm[/tex] and length is [tex]5\frac{5}{12}\ cm[/tex]

Keywords: perimeter, addition

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List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0}

{-5, -4, -3, -2, -1}
{-6, -5, -4, -3, -2, -1, 0}
{-6, -5, -4, -3, -2, -1}

Answers

Answer:

{-6, -5, -4, -3, -2, -1}.

Step-by-step explanation:

The set contains the integer -6  ( because of the ≤ )  but not 0 because of the < 0.

Kate's new juicer is able to squeeze
3
4
of a cup of orange juice from
1
12
of a bag of oranges. Compute the unit rate of cups per bag of oranges?

Answers

Answer:

9 cups per bag

Step-by-step explanation:

1/12 bag = 3/4 cup

12/12 bag = ? cup

1/12 × 12 = 12/12

3/4 × 12 = 36/4

36/4 = 9

Answer: 9 cups per bag

Step-by-step explanation: Apply the division rule of fractions: multiply the numerator by the reciprocal of the denominator.

3/4

1/12

=

3/4

×

12/1

=

36/4 = 9 cups per bag

PLZZZZZ HELP!!!!
What idea, achievement, or life event is associated with Aristotle?


condemned to death by poison


tutored Alexander the Great


thought philosopher-kings should run the government

Answers

Answer: B) Tutored Alexander The Great

Step-by-step explanation: k12 test 1.12, :)

How can u solve 40x16 by breaking apart the numbers

Answers

Answer: 640

Step-by-step explanation:

You can break 16 up into 10 and 6: 40(10+6)

40(10)+40(6)

400+240

640

Final answer:

To solve 40x16, break apart the numbers into tens and use the distributive property to calculate the partial products, then sum up these products to get the final result of 640.

Explanation:

To solve 40x16 by breaking apart the numbers, you can use a strategy known as decomposing or partial products. Here's a step-by-step explanation:

Break apart the number 40 into 10s: 40 = 30 + 10.

Break apart the number 16 into 10s: 16 = 10 + 6.

Now use the distributive property to multiply each part:

(30 + 10) × (10 + 6)

Multiply each part individually: 30 x 10, 30 x 6, 10 x 10, and 10 x 6.

Calculate the partial products: 300, 180, 100, and 60.

Finally, add all the partial products: 300 + 180 + 100 + 60 = 640.

So, 40x16 equals 640 when you apply the breaking apart method.

The total of 3 games is $38.97 . Each game costs the same amount. Write an equation that can be used to determine n , the cost of 1 game

Answers

Answer:

Step-by-step explanation:

3games cost38.97 so you have to divide 38.97divided by 3=12.99 so each game was 12.99 a game

Final answer:

To determine the cost of 1 game, set up an equation: 3n = $38.97. Divide both sides of the equation by 3 to isolate n. The cost of one game is $12.99.

Explanation:

To find the cost of one game, we can set up the equation 3n = $38.97based on the given information. where n represents the cost of one game. Since each game costs the same amount, we can write the equation:

3n = $38.97

Divide both sides of the equation by 3:

n = $38.97 / 3

Dividing both sides of the original equation by 3 is a way to undo the multiplication by 3 on the left side, thereby isolating the variable n.

When we perform this division, we find that n is equal to $12.99.

n = $12.99

Therefore, the cost of one game is $12.99.

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What is 6x-5y=22
y= -8

Answers

6x-5y=22

1.) factor the y into the equation So it’ll be 6x-5(-8)=22

2. Solve the equation of -5*-8 = 40

3. The new equation is 6x+40=22

4. Subtract from both sides 22-40 = -18

5. The new equation is 6x=-18

6. Now we have to get x by itself to find its value, so divide by 6 on both sides. 6x/6 = x
And -18/6 = -3

So the value of x is -3

what is the value of g divided 4, if g=20

Answers

Answer:

5

Step-by-step explanation:

G=20

20÷4=5

Hope this helps!

The answer is 5 if g is 20 because 20 divided by 4 is 5

Which of the following best describes the set of even integers from 8 to 16

(8.16)

(8, 10, 12, 14, 16)

null set

[8, 9, 10, 11, 12, 13, 14, 15, 16)

Answers

Answer:

(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

Step-by-step explanation:

To find the set of even integers from 8 to 16 as below :

There are 8,10,12,14,16 even integers in between the numbers 8 and 16

Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

LaTeX: \angle∠J and LaTeX: \angle∠K are supplementary angles. If mLaTeX: \angle∠K is 84LaTeX: ^\circ∘, what is the measure of LaTeX: \angle∠J?
Group of answer choices

Answers

180-84=96
The first angle is 84. We know that supplementary angles equal 180. Therefore to find the second angle we just have to take away 84 from 180.

What is a formula for the nth term of the given sequence?
-17, -8, 1...
−17,−8,1...

a_{n}=-8+9(n-1)a
n

=−8+9(n−1)
a_{n}=-17(9)^{n}a
n

=−17(9)
n

a_{n}=9n-26a
n

=9n−26
a_{n}=-17-9(n-1)a
n

=−17−9(n−1)

Answers

Answer:

The nth term of the given arithmetic sequence is [tex]a_n=-17+(n-1)9[/tex]

Step-by-step explanation:

Given sequence is -17,-8,1,...

To find the nth term of the given sequence :

Let  [tex]a_1=-17,a_2=-8,a_3=1,...[/tex]

To find the common difference d :

[tex]d=a_2-a_1[/tex]

[tex]=-8-(-17)[/tex]

[tex]=-8+17[/tex]

Therefore d=9

[tex]d=a_3-a_2[/tex]

[tex]=1-(-8)[/tex]

[tex]=1+8[/tex]

Therefore d=9

The common difference d is 9

Therefore the given sequence is an arithmetic sequence

The nth term of an arithmetic sequence is given below

[tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=-17[/tex] and d=9 in the above equation we get

[tex]a_n=-17+(n-1)9[/tex]

Therefore the nth term of the given arithmetic sequence is [tex]a_n=-17+(n-1)9[/tex]

Final answer:

The formula for the nth term of the sequence -17, -8, 1 is a_n = 9n - 26, where n is the position of the term in the sequence.

Explanation:

The sequence provided is -17, -8, 1, which suggests that there is a common difference between terms since it is an arithmetic sequence. To find the nth term of an arithmetic sequence, we use the formula a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. In this case, the common difference is 9 (since -8 - (-17) = 9).

So, using the formula for the nth term of an arithmetic sequence:

a_1 = -17 (the first term)d = 9 (the common difference)

Our formula becomes a_n = -17 + (n - 1) × 9. Simplifying this:

a_n = -17 + 9n - 9

a_n = 9n - 26

Therefore, the formula for the nth term of the given sequence is a_n = 9n - 26.

click on the value for m that makes this inequality true

Answers

Answer:

To solve this inequality you need to get m by itself

3m+10<30 (First subtract 10 from each side)

3m<20 (10-10=0, 30-10=20) (Then divide each side by 3)

m< 20/3 or 6.666666

So your answer is any that is less than 6.66666

Your answer would be 5

5

Hope this helps ;)

Your answer will be 5!

if the measurement of the angle P is three less than twice the measure of angle Q and angle P and angle Q are supplementary angles. what is each angle measure

Answers

Answer:

Step-by-step explanation:

Let angle Q = x°

Angle P = (2x - 3)°

And angle P and Q are supplementary angle which implies there sum is 180°

x + 2x - 3 = 180

3x = 180 + 3

3x = 183

x = 183/3

x = 61°

Angle Q = 61°

Angle P = 2x - 3

Angle P = 2(61) - 3

Angle P = 122 - 3

Angle P = 119°

Which statements are true about the ordered pair (-3, 1) and the system of
equations?
(x - 4y = 6
| 3x + y = -8
Select each correct answer.
The ordered pair
is a solution to the first equation because it
makes the first equation true.
The ordered pair (-3, 1) is a solution to the second equation
because it makes the second equation true.
The ordered pair
is not a solution to the system because it
makes at least one of the equations false.
is a solution to the system because it
The ordered pair
makes both equations true.

Answers

The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Solution:

Given system of equations are:

x - 4y = 6 ------- eqn 1

3x + y = -8 ------------ eqn 2

Given ordered pair is (-3, 1)

We have to check if the options are true

Let us substitute (x, y) = (-3, 1) in eqn 1

[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]

Thus the given ordered pair (-3, 1) did not satisfy the first equation

Substitute (x, y) = (-3, 1) in eqn 2

[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]

Thus the given ordered pair (-3, 1) satisfied the second equation

But for a ordered pair to be a solution to system of equations, it must satisfy both the equations

Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

7. The sun is at an angle of elevation of 58º. A tree casts a shadow 20 meters long on
the ground. How tall is the tree?

Answers

The height of tree is 32 meter

Solution:

Given that,  The sun is at an angle of elevation of 58 degree

A tree casts a shadow 20 meters long on  the ground

The sun, tree and shadow forms a right angled triangle

The figure is attached below

ABC is  a right angled triangle

AC is the height of tree

AB is the length of shadow

AB = 20 meters

Angle of elevation, angle B = 58 degree

By definition of tan,

[tex]tan \theta = \frac{opposite}{adjacent}[/tex]

In this right angled triangle ABC,

opposite = AC and adjacent = AB

Therefore,

[tex]tan\ 58 = \frac{AC}{AB}\\\\tan\ 58 = \frac{AC}{20}\\\\1.6 = \frac{AC}{20}\\\\AC = 1.6 \times 20\\\\AC = 32[/tex]

Thus height of tree is 32 meter

Final answer:

To determine the height of the tree using the angle of elevation of the sun and the shadow length, apply the tangent function. With an elevation of 58º and a shadow of 20 meters, the tree’s height is calculated to be approximately 33.94 meters.

Explanation:

To find the height of the tree given the angle of elevation of the sun and the length of the shadow it casts, we can make use of trigonometry. Specifically, we will use the tangent function, which relates the angle of elevation with the opposite side (the height of the tree) and the adjacent side (the length of the shadow).

Step-by-step solution:

Let's denote the height of the tree as H and the length of the shadow as 20 meters.The angle of elevation of the sun is given as 58º.Using the tangent function: tan(θ) = opposite/adjacent, where θ is the angle of elevation.Plugging in the values, we get tan(58º) = H / 20 meters.Solve for H by multiplying both sides by 20 meters: H = 20 meters · tan(58º).Use a calculator to find tan(58º), and then compute H.After calculating, we find that the height of the tree is approximately 33.94 meters.

Thus, the height of the tree is approximately 33.94 meters.

Simplify the expression:
(-2q+5)(-7)

Answers

14q-35 distribute the -7 to the other numbers

The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.

A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.

What is the length of one leg of the triangle?





Answers

Answer:

A. 7

Step-by-step explanation:

my unit test review said the other persons answer was wrong and it said this was right so ya.

The length of one leg of the given triangle is 1 unit.

What is Pythagoras theorem?

The square of the hypotenuse is equal to the sum of the squares of other two sides.

Given the following parameters;

Hypotenuse = √2

If the lengths of the other two sides are congruent, thus;

x² + x² = (√2)²

2x² = 2

x² = 2/2

x² = 1

x = 1

Hence, the length of one leg of the triangle is 1 unit.

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A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps in the table.
Original equation
StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction
Cross multiplication
5 (x + 3) = 2 (3x + 5)
Distributive property
5 x + 15 = 2 (3 x + 5)
Subtraction property of equality
5 = x

Which method of solving for the variable could be used instead of cross multiplication?
distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x – 3 and then 3x – 5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by One-tenth

Answers

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

Given equation is:

[tex]\frac{x+3}{2} = \frac{3x+5}{5}[/tex]

One method to solve this equation is cross-multiplication which the student has used.

One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides

So multiplying both sides by 10 (multiplication property of equality)

[tex]\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5[/tex]

The alternate method of LCM produces the same answer so the correct answer is:

using the multiplication property of equality to multiply both sides of the equation by 10

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Answer:

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

factorise 9f²-12f plus 4​

Answers

Answer:

(3f - 2)²

Step-by-step explanation:

Given

9f² - 12f + 4

Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.

product = 9 × 4 = 36 and sum = - 12

The factors are - 6 and - 6

Use these factors to split the f- term

9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )

= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term

= (3f - 2)(3f - 2)

= (3f - 2)²

Answer:

9f² - 12f + 4 = (3f - 2)²

Step-by-step explanation:

9f²-12f+4 =

= (3f)²-2×(3f)×(2)+2²

= (3f-2)²

What is the equation of a line with a slope of -2 that passes through the
point, (-2, 12)?
O A. y = 4x-2
O B. y = -2x+6
O C. y = -2x+8
O D. y=-2x+4
SUBMIT

Answers

Answer:

O B. y = -2x+6

Step-by-step explanation:

Point slope form. (9,-2) and (4,2)

Answers

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (9, -2) and (4, 2).

Substitute:

[tex]m=\dfrac{2-(-2)}{4-9}=\dfrac{2+2}{-5}=-\dfrac{4}{5}[/tex]

Put the value of a slope and coordinates of first or second point to the equation of a line:

[tex](9,\ -2),\ m=-\dfrac{4}{5}\\\\y-(-2)=-\dfrac{4}{5}(x-9)\\\\\boxed{y+2=-\dfrac{4}{5}(x-9)}\\\\(4,\ 2),\ m=-\dfrac{4}{5}\\\\y-2=-\dfrac{4}{5}(x-4)}[/tex]

You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent of error

Answers

Answer:

U were 20% off

Ure estimate was 80%

Step-by-step explanation:

16/20 is 80%

100%-80% is 20%

The percent of error is 20%

How would the following triangle be classified?

Answers

Step-by-step explanation:

All sides are congruent, therefore is an equilateral triangle.

It's also an isosceles acute triangle because two sides are congruent and all angles are acute.

It's also an isosceles triangle because two sides are congruent.

(3x+6)(4x+2) what is the answer

Answers

Answer:

12x^2 + 30x + 12

Step-by-step explanation:

Expand the equation using FOIL (First Outside Inside Last)

Hope this helps! :]

Other Questions
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