The requried equation of the line in slope-intercept form is y = -2x + 16.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
To find the equation of the line in slope-intercept form, we need to determine the slope and the y-intercept of the line.
We can use the two given points on the line (0, 16) and (8, 0) to find the slope of the line:
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 16) / (8 - 0)
= -2
Next, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y₁ = m(x - x₁)
We can choose either of the two given points to plug in as (x1, y1). Let's choose the point (0, 16):
y - 16 = -2(x - 0)
Simplifying this equation, we get:
y - 16 = -2x
y = -2x + 16
Therefore, the equation of the line in slope-intercept form is y = -2x + 16.
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Which image shows a reflection of triangle ABC over the x-axis?
CLEAR CHECK
Math item response image
Math item response image
Math item response image
Answer:
Please add images.
Step-by-step explanation:
what is 1 and 1/8 plus 1 and 1/4
Answer:2.375
Step-by-step explanation:
1 and 1/8 =(1×8+1)/8=9/8
1 and 1/4 =(1×4+1)/4=5/4
9/8+5/4=9/8+10/8=19/8=2.375
Answer: 2.375
Carissa also has a sink shaped like a half-sphere. The sink has a volume of 660 pi inches cubed. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(A) One cup has a diameter of 5 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(B) One cup has a diameter of 10 inches and a height of 8 inches. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Answer:
A) 40
B) 10
Step-by-step explanation:
A) ⅓×pi×2.5²×8 = 50/3 pi
660pi ÷ 50pi/3 = 39.6
So 40 scoops
B) ⅓×pi×5²×8 = 200pi/3
660pi ÷ 200pi/3 = 9.9
So 10 scoops
3 fewer than a number p
Answer:
p-3
Step-by-step explanation:
3 fewer would be -3
So it would be p-3
Answer: 3<p
Step-by-step explanation:
3 is fewer than (<) p
hope it helps please give brainliest!
18. Why might funds from a deposited check not be available on the day of deposit? (2 points)
It was made to a bank teller.
It was made into an old account.
It was larger than usual deposits.
It was an account transfer from the same bank.
Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit
2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.
Step-by-step explanation:
Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.
Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.
Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.
Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.
Identify the center and intercepts of the conic section
Answer:
center: (0, 0)x-intercepts (-3, 0), (3, 0)y-intercepts (0, -5), (0, 5)domain -3 ≤ x ≤ 3range -5 ≤ y ≤ 5Step-by-step explanation:
Your answer is correct except for the intercepts.
The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).
The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).
(4, 1) and (6,7)what is the slope
Answer:
3
Step-by-step explanation:
[tex]m = \frac{y}{x} = \frac{7 - 1}{6 - 4} = \frac{6}{2} = 3[/tex]
Imani bought books for college and paid 35% of the total cost. Her parents paid the remaining balance of $438.75. The total cost for Imani’s books was $
Answer:
[tex]\$675[/tex]
Step-by-step explanation:
Remember that
[tex]100\%-35\%=65\%=65/100=0.65[/tex]
Let
x ----> the total cost of the books
we know that
The total cost of the book multiplied by 0.65 must be equal to $438.75
so
The linear equation that represent this situation is
[tex]0.65x=438.75[/tex]
solve for x
[tex]x=438.75/0.65\\x=\$675[/tex]
4. What is the measure of each interior angle of a regular 28-gon?
Step-by-step explanation:
Measure of each interior angle of 28 sided polygon
[tex] \frac{(28 - 2) \times 180 \degree}{28} \\ \\ = \frac{26 \times 180 \degree }{28} \\ \\ = \frac{4680 \degree }{28} \\ \\ = 167.14\degree \\ [/tex]
The measure of each interior angle of a regular 28-gon is 167.14 degrees.
The measure of each interior angle of a regular 28-gon can be calculated using the formula:
Interior Angle = (n-2) * 180 / n
Substitute n = 28 into the formula:
Interior Angle = (28 - 2) * 180 / 28 = 24 * 180 / 28 = 167.14 degrees
Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.
Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.
The adjacent angles in the diagram are 112° and 68°.
Step-by-step explanation:
The measure of angle in a straight line is 180°.
Therefore, the sum of the two angles is equal to 180°.
⇒ 2x + 68 = 180
The equation formed to solve for x value is 2x+68 = 180
⇒ 2x = 180 - 68
⇒ 2x = 112
⇒ x = 112/2
⇒ x = 56
∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°
What is the area of the figure?
Enter your answer in the box.
❏in²
Answer:32
Step-by-step explanation:
add 10 + 10 + 6 + 6 = 32
I need help
5x^2 +60x+180=0
Answer:
x
Step-by-step explanation:
x
Answer:
-6
Step-by-step explanation:
khan academy
The exterior angles of a quadrilateral have measures of 90°, 38°, 3x°, and x°. Find the value of x.
x=?
Answer:
58
Step-by-step explanation:
The sum of the exterior angles ALWAYS measures 360 degrees, meaning that 90+38+3x+x = 360
This means that 128 + 4x =360, meaning that 4x = 232.
That makes x = 58
To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees. So, solving the equation 90 + 38 + 3x + x = 360 will give us the value of x, which is 58.
Explanation:To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.
So, we have the equation:
90 + 38 + 3x + x = 360
Combine like terms:
4x + 128 = 360
Subtract 128 from both sides:
4x = 232
Divide by 4:
x = 58
Therefore, the value of x is 58.
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(x+4)(x+3)-x(x-2)=48
Step-by-step explanation:
trust me its b i got it right
Big Ben a famous clock tower London , England . The diameter of the clock face 23 feet . Find the circumference of the clock face . Round to the nearest tenth .
Answer:
23pi, or approx. 72.27
Step-by-step explanation:
circumference = 2(pi)r, or 2d
pi = approx. 3.14, r = radius, and d = diameter
You are given diameter, so all you have to do is multiply 23 feet by pi.
The circumference of the clock face of is 72.1 feet or 23π.
Given that the diameter of the clock face is 23 feet.
To calculate the circumference of the clock face, use the the following formula:
The value of π is approximately 3.14159.
Circumference = 2πr
In the formula r is the radius.
Since, the diameter is 23 and the radius is half of the diameter.
Thus, the radius r is 11.5.
Further, calculate the circumference:
Circumference = 2 × 3.14159 × 11.5
Circumference ≈ 72.08357
Circumference ≈ 72.1 feet
Therefore, the circumference of the clock face is 72.1 feet.
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what is seven over one minus one over eight
Answer:
7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Answer:
6.87500
Step-by-step explanation:
Answer the following question
The formula for the area of triangles is lwh × 1/2.
Multiply the length by the width, height, and then by 1/2.
1.1 × 3.8 × 0.5 = 2.09
Since both triangles are equal, both triangles area will be the same, 2.09.
Now multiply the are by 2.
2.09 × 2 = 4.18
The area of the shaded areas equals 4.18in.
42
97
-----
[tex]42 \times 97[/tex]
Answer:
4074
Step-by-step explanation:
30 points!Describe the differences between the graphs of y = −3x^2 and y = 1/3x^2 .
Answer:
y = -3x²
Is a concave down with a maximum turning point at (0,0)
y = ⅓(x²)
Is a concave up with a minimum turning point at (0,0)
Answer:
Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin
plz help me i need work plz
For the given figure;
Perimeter = 41 cm and
Area = 49.5 cm².
Step-by-step explanation:
Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.
Step 2; The figure's area = The rectangle's area + The triangle's area.
The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².
The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².
The figure's area = 42 + 7.5 = 49.5 cm².
Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.
The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.
The perimeter of a triangle is the sum of all the three side lengths.
The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.
The perimeter of the figure = 26 + 15 = 41 cm.
Find the volume 4 2\5 in 3in 16 3\4in
Since there are three attendees, evaluate the expression
12x + 5 for x = 3.
+ 5 =
120 +5=
The family spent
to attend the game.
Answer:
41
Step-by-step explanation:
If your equation is what it appears, we can put 3 where x is and do the arithmetic:
12·3 +5 = 36 +5 = 41
The family spent 41 to attend the game.
PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft^2 + 48 ft^2. Is the student correct? Explain your reasoning.
Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
See the attached figure.
The shown figure is a composite area of:
1) A rectangle with length of 8 ft and width of 4 ft
2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)
The area of the rectangle = length x width = 8 * 4 = 32 ft²
The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²
So, the total area = 32 + 4 = 36 ft²
OR
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft
So, the student is wrong
Six is one hundred times ???????????
Answer:
0.06
Step-by-step explanation:
6 is 6.0 and 0.06 times 100 is 6.
Answer:
0.06
Step-by-step explanation:
if you times 0.06 by 10 it is 0.6
if you times it by 100 it is 6
Solve the system of linear equations by graphing. Y=-5/2x-7 X+2y=4
Answer:
They intersect at (-4.5, 4.25)
Assuming you can graph them, just put the equations in your calculator or graphing software and find the intersection, next time.
I need a word problem for 4x + 5 = 37
Alexa has 5 grapes. She went to the store and bought 4 times a number. When she counted the grapes, she had 37 grapes in total.
When you make a word problem with this, you will get 4x+5=37
What is the GCF of 12m + 3mx?
Answer:
3m
Step-by-step explanation:
You can check
3m(4+x)
12m+3mx
see
and its gcf because inside () has no common factors
Answer:
3m(4+x)
Step-by-step explanation:
Morgan’s mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?
Answer:
$770.60
Step-by-step explanation:
Simple interest is the same amount every year.
So first you work out 10%, then 5%, and then 1% which then you x3 to get 3%
10% = 72
5% = 36
1% = 7.2
3% = 14. 6
you then add together the 5% and the 3% to get the simple interest, which is
50.6
then you add the simple interest and the money she borrowed and that is your answer
720 + 50.6 = 770.60
Answer:
$900
Step-by-step explanation:
there are 800 students at weaver middle school. to determine which mascot name is preferred by the students at the school, each of the 30 teachers surveyed their two top-scoring students. would this be an appropriate sampling technique for the school to use?
Answer:
This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.
Step-by-step explanation:
Christopher deposited $1 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
To the nearest cent, Christopher will earn $ 0.13 in 3 years
Step-by-step explanation:
Let's recall that the formula of the compounded interest is:
A = P * (1 + r/n)^nt, where
A = Future value
P = Initial deposit
r = Interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Replacing with the values we know:
A = P * (1 + r/n)^n
A = 1 * (1 + 0.1/1) ³°¹
A = 1 * 1.1³
A = 1 * 1.1331
A = 1.13
Interest = Future value - Initial deposit
Interest = 1.13 - 1
Interest = 0.13