Answer:
This equation in standard for would be x^2/4 + y^2 = 1
Step-by-step explanation:
Please help me
A(-3, 6) and B(0, 6), what are the coordinates of point P that lies on segment AB, such that AP:PB = 2:1?
Answer:
(-1,6)
Step-by-step explanation:
P= 1A + 2B
AP + PB
= 1(-3,6) + 2(0,6)
3
= (-3,6) + (0,12)
3
= (-3 + 18)
3
= (-1,6)
Please help, What is tan B? a. 8/17 b. 15/8 c. 15/17 d. 8/15
tan <B is 16/30 which is 8/15
Answer:
Step-by-step explanation: It’s gotta be b or c.
Solve the system of equations. 2x + 3y = 1 5x + 2y = 8 What is the solution?
Answer:
(2,-1)
Step-by-step explanation:
The solution of the system of equations 2x + 3y = 1 and 5x + 2y = 8 is x = 2 and y = -1.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation.
And simultaneous equation is the system of equation.
Given:
System of equations,
2x + 3y = 1, {equation 1}
And 5x + 2y = 8. {equation 2}
To find the solution:
Multiply 5 to the equation 1 and multiply 2 to the equation 2.
And then subtract the equation 2 to the equation 1.
We get,
11y = -11
y = -1
And 2x = 4
x = 2
Therefore, the solution is x = 2 and y = -1.
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Determine in which direction the parabola below opens. y=-4x^2+8x+12
Down
The formula for a quadratic equation is y = ax^2 + bx + c. In this case, a = -4, b = 8, and c = 12. The direction of the parabola can be determined by a. If a is positive, the parabola opens upwards, and if a is negative, the parabola will open downwards.
Jarred sells dvds. His inventory shows that he has a total of 3500 dvds. He has 2342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of dvds.
Answer:
x = classic
x + 2342 = contemporary
3500 = x + (x +2342)
3500= 2x + 2342
and then you would just solve the equation, but it does not ask for a solution
Step-by-step explanation:
x = classic
x + 2342 = contemporary
3500 = x + (x +2342)
3500= 2x + 2342
Answer: Jared has a total of 3500 dvds of two types, contemporarys and classics.
we also know that Jared has 2342 more contemporary dvds than classics.
Now, how we write this as system of equations?
if x is the number of classics, and y the number of contemporarys, then:
1) x + y = 3500
and
2) y - x = 2342
this is the system of equations, but just for fun we can solve it!
in the second equation we can leave y alone in the right side ande get: y = 2342 + x, and then replace it in the first equation.
x + y = 3500
x + (2342 + x) = 3500
2*x = 3500 - 2342 =1158
x = 1158/2 = 579
So Jared has 579 classic titles.
then:
y + x =3500
y + 579 = 3500
y = 3500 - 579 = 2921
And Jared has 2921 contemporary titles.
Explain whether or not the following equation is a quadratic function in vertex form. y = 4(x - 2)^2 + 6.
Your explanation should be at least 3 - 4 sentences and include at least 5 of the following words/phrase:
-squared term
-constant term
-quadratic function
-coefficient
-vertex form
-y variable
Answer:
Yes, the following equation is a quadratic function in vertex form
Step-by-step explanation:
we know that
The quadratic function of the vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2} +k[/tex]
where
(h,k) is the vertex of the parabola
If the coefficient a is > 0 ----> the parabola open upward (vertex is a minimum)
If the coefficient a is < 0 ----> the parabola open downward (vertex is a maximum)
in this problem we have
[tex]y=4(x-2)^{2} +6[/tex]
The squared term contain the x-coordinate of the vertex
[tex]h=2[/tex]
The constant term is the y-coordinate of the vertex
[tex]k=6[/tex]
The vertex is the point (2,6)
The coefficient is equal to
[tex]a=4[/tex] ----> open upward (vertex is a minimum)
How much will you have in 36 months if you invest $75 a month at 10% annual interest?
Answer:
2970
Step-by-step explanation:
2700+ 270
270 because that is 10% of 2700
2700 because that is 75 x 36
Triangle ABC is isosceles. What is true about the measure of angle B?
Is it equal to the measure if angle C
In an isosceles triangle, the measure of the vertex angle (Angle B in this case) is equal to the measure of the other base angle. This is because in an isosceles triangle, the angles opposite the equal sides are also equal.
Explanation:In an isosceles triangle ABC, Angle B, the angle between the two sides of equal length, is known as the vertex angle. The two base angles of an isosceles triangle are always equal. Therefore the measure of Angle B will be equal to the measure of Angle C. This property comes from the fundamental characteristics of an isosceles triangle, where two sides are of equal length and the angles opposite these equal sides are also equal.
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What is the constant term in the expression 2xy - 5x2 - 7x + 9?
Answer:
9?
Step-by-step explanation:
Solve 9(4g + 9) using the distributive property. Can someone help me with this and show their work?
Answer:
36g + 81
Step-by-step explanation:
9 is your multiplier. Multiply each of the two terms inside the parentheses by this 9, one at a time:
36g + 81
Answer:
9 (4g + 9) = 9*(4g) + 9* (9) = 36g + 81
Step-by-step explanation:
Which expression is equivalent to 1/2 (2+ 3x – 6)?
3x - 5
3/2x - 5
3x – 4
3/2x - 2
Can you plz help me answer this question
Answer:
the answer is 77
Step-by-step explanation:
46.20 divided by 60 cents = 77
The measures of two sides of a triangle are given. If P is the perimeter, find the measure of the third side.
c = 2x + 3. The third side of the triangle is 2x + 3.
The key to solve this problem is using the perimeter of a triangle equation which is P = a + b + c, where a, b, and c are the sides of the triangle.
We know that the perimeter P = 3x² + 7x, let's suppose a = 6x - 7, b = 3x² - x + 4, and c is the unknow.
Clearing c from the equation:
c = P - (a + b)
c = 3x² + 7x - (6x - 7 + 3x² - x + 4)
c = 3x² + 7x - 6x + 7 - 3x² +x - 4
Grouping the equal terms:
c = 3x² - 3x² + 7x + x - 6x + 7 - 4
c = 0 + 8x - 6x + 3
c = 2x + 3
Help asap please i don't know the answer lol
Answer:
H
Step-by-step explanation:
The parallel line BC divides the sides AD and AE in proportion, that is
[tex]\frac{AB}{BD}[/tex] = [tex]\frac{AC}{CE}[/tex], that is
[tex]\frac{2}{3}[/tex] = [tex]\frac{AC}{4}[/tex] ( cross- multiply )
3AC = 8 ( divide both sides by 3 )
AC = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex], hence
AE = AC + CE
= 2 [tex]\frac{2}{3}[/tex] + 4 = 6 [tex]\frac{2}{3}[/tex] → H
HELP!!!!!!!
Consider the function:
f(x) =
What are these values?
Answer:
f(-3) = -5/2
f(-1) = 3/2
f(3) = 3/4
Step-by-step explanation:
To find the values, we just have to replace by the values given (-3, -1, 3). Since there are different definitions of the function depending on the range of x, we just have to pick the right one before replacing x by its value.
x = -3
When x ≤ -1, the function is 7/2 + 2x
So, x = -3 is certainly ≤ -1, so....
f(-3) = 7/2 + 2 (-3) = 7/2 - 6 = 7/2 - 12/2 = -5/2
x = -1
When x ≤ -1, the function is 7/2 + 2x
So, we do the same calculation:
f(-1) = 7/2 + 2 (-1) = 7/2 - 2 = 7/2 - 4/2 = 3/2
x = 3
When x ≥ 3, the function is defined as: (1/4)x or x/4. So,
f(3) = 3/4
The output values of f(-3), f(-1), and f(3) in the piece-wise function are -5/2, 3/2, and 3/4 respectively.
To determine the output value of f(-3), f(-1), and f(3) in the piece-wise function, we simply plug in the values of x in the piece that is within the domain.
To solve for f(-3), plug x = -3 into the piece with the domain of x ≤ -1:
f( x ) = 7/2 + 2x
Pug in x = -3:
f( -3 ) = 7/2 + 2(-3)
f( -3 ) = -5/2
To solve for f(-1), plug x = -1 into the piece with the domain of x ≤ -1:
f( x ) = 7/2 + 2x
Pug in x = -1:
f( -3 ) = 7/2 + 2(-1)
f( -3 ) = 7/2 - 2
f( -3 ) = 3/2
To solve for f(3), plug x = 3 into the piece with the domain of x ≥ 3:
f( x ) = (1/4)x
Pug in x = 3:
f( 3 ) = (1/4) × 3
f( 3 ) = 3/4
Therefore, the values for f(-3), f(-1), and f(3) are -5/2, 3/2, and 3/4 respectively.
Look at ttached file (15 points)
Answer:
x = (8.75 - 2 5/6) / 7.1 + (4 1/2 + 2 2/3) / 4 3/10
x = 2.5
Answer:
2 1/2
Step-by-step explanation:
Order of operations rules require that we do any work within parentheses first. Thus, calculate (8.75 - 2 5/6); it is (5 11/12). Next, calculate (4 1/2 + 2 2/3); it is ( 7 1/6). So what we have now looks like:
(5 11/12) / 7.1 + (7 1/6) / (43/10) (Note that 4 3/10 = 43/10)
Performing the two indicated divisions, we get:
5/6 + 1 2/3.
Since the LCD here is 6, we add: 5/6 + 1 4/6, which comes out to
1 9/6, or 1 + 1 1/2, or 2 1/2 (answer)
Help please due tomorrow
I'm pretty sure that question 1 is 254.5 m but i'm not entirely sure about my answer to question 2. sorry i couldn't be more help to you :( good luck!
A triangle with sides of lengths 20, 21, and 29 is a right triangle.
Answer:
True
Step-by-step explanation:
The numbers 20, 21, and 29 are a Pythagorean triplet and can be the dimensions of a right triangle.
What is the triangle?
In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.
A triangle with sides of lengths 20, 21, and 29 is a right triangle.
Three numbers can be the sides of a triangle if the sum of two of them is greater than the third. So, since
20+21 > 29,
20+29 > 21, and
21+29 > 20
Are trivially true, they can be the sides of a triangle.
The given numbers are a Pythagorean triplet and can be the dimensions of a right triangle.
20,21 and 29 is a Pythagorean triplet, since
[tex]20^2+21^2=29^2[/tex]
So you also know that they form a right triangle.
Hence, the numbers 20, 21, and 29 are a Pythagorean triplet and can be the dimensions of a right triangle.
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The ratio 60 : 48 in its simplest form
Answer:
5 : 4
Step-by-step explanation:
To simplify the ratio , find the greatest common factor of 60 and 48, then divide both parts of the ratio by it
the greatest common factor of 60 and 48 is 12, hence
60 ÷ 12 : 48 : 12 = 5 : 4 ← in simplest form
30:24 = 10:8 = 5:4
Step-by-step explanation:
First divide them by 2
then divide the answer (30:24) with 3
then divide the answer with 2
And the answer comes as 5:4
on a 6-sided die, what is the probability of rolling an even number that is not 4
ANSWER
[tex]P(4)'= \frac{1}{3} [/tex]
EXPLANATION
The sample space of rolling a 6-sided die is
{1,2,3,4,5,6}
The even numbers apart from 4, are
{2,6}
The probability of rolling an even number that is not 4 is
[tex]P(4)'= \frac{2}{6} = \frac{1}{3} [/tex]
Convert the units of length.
7.5 cm
=
__ m
Answer:
If "m" stands for meters, then thats not possible.
Step-by-step explanation:
if m is meters then i would say 0.075 meters i’m pretty sure
Write an equation to match each graph:
f
Looking at the shape, you should be able to tell immediately that this will be an absolute value function. Noticing that it is both 1 over and 1 up, you will get the equation y = - | x + 1 | + 1
Answer:
y=-|x+1|+1
Step-by-step explanation:
2y +6=3y+8
Verify it and explain step by step?
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
What is the y-intercept of this function?
Answer:
4
Step-by-step explanation:
a linear function is
y = ax + b
so, for the first pair of x, y
8.5 = 2a + b
b = 8.5 - 2a
the second pair
15.25 = 5a + b
let's use the substitution information from the first pair :
15.25 = 5a + 8.5 - 2a
6.75 = 3a
a = 2.25
b = 8.5 - 2×2.25 = 8.5 - 4.5 = 4
so, we get as linear function
y = 2.25x + 4
that means the y-intercept (x = 0) is at y = 4
y = 2.25×0 + 4 = 4
The y-intercept of this function will be at (0, 4).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles (x) Cost (y)
2 8.50
5 15.25
8 22.00
12 31.00
Then the linear equation will be
y - 8.50 = [(31.00 - 8.50) / (12 - 2)] (x - 2)
y - 8.50 = 2.25(x - 2)
y - 8.50 = 2.25x - 4.5
y = 2.25 + 4
The graph of the equation is given below.
Then the y-intercept of this function will be at (0, 4).
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What is the range for this set of data?
7, 15, 12
Answer:
The answer would be eight.
Step-by-step explanation:
The range is the difference between the largest and smallest number you need to make sure you have them in order or it won’t work.
Answer:
the answer is eight
Step-by-step explanation:
How do I find this arc measure?
Check the picture below.
In circle K, what is the value of x?
(5x)
I think 5x represents 90 degrees.
5x = 90
x = 90/5
x = 18
ANSWER
[tex]x = 18 \degree[/tex]
EXPLANATION
A semicircle subtends an angle of 90° at the circumference.
From the diagram, the semicircle subtends an angle of (5x)° at the circumference.
We equate this angle to 90° and solve for x.
This implies that,
[tex]5x = 90 \degree[/tex]
Divide both sides by 5.
[tex]x = \frac{90}{5} [/tex]
[tex]x = 18 \degree[/tex]
PLEASE ANSWER RIGHT AWAY!!!!
The answer is:
The first option,
[tex]y=-\frac{1}{2}x-3;x<-2[/tex]
Why?To answer the question, we need to look for an inequality that fits with the following description:
- Negative slope, since the segment "a" is decreasing.
- x- axis interception at x equal to -6
- One of its point is located at (-2,-2)
- The segment exists from -∞ to -2.
So, checking we have:
Firs option
[tex]y=-\frac{1}{2}x-3[/tex]
With,
[tex]x<-2[/tex]
- Finding the y-axis component when x is equal to -2, we have:
[tex]y=-\frac{1}{2}*(-2)-3\\y=1-3=-2[/tex]
We have that one of the points of the segments is located at (-2,-2)
- Finding the "x" intercept, we have:
[tex]0=-\frac{1}{2}x-3\\\\\frac{1}{2}x=-3\\\\x=2*-3=-6[/tex]
Also, (from the inequality and the graph) we know that, the given segment exists from the negative infinite numbers to -2.
Hence, we can know that the first option meets all the requirements:
[tex]Slope=-\frac{1}{2}[/tex]
[tex]x-axis_{interception}=-6[/tex]
[tex]Point(-2,-2)[/tex]
and from the inequality, we know that the segment exists from -∞ to -2.
Have a nice day!
1. Solve the following for x
8^2x-4=8^5x+1
2^x+6=16^3x+4
(1/2)^x=2^x+3
36^2x=216^3x-1
How much will a car be worth after 8 years if it depreciates in value by 12.6% each year?
Step-by-step explanation:
[tex]8^{2x-4}=8^{5x+1}\iff2x-4=5x+1\qquad\text{add 4 to both sides}\\\\2x=5x+5\qquad\text{subtract 5x from both sides}\\\\-3x=5\qquad\text{divide both sides by (-3)}\\\\\boxed{x=-\dfrac{5}{3}}\\\\================================[/tex]
[tex]2^{x+6}=16^{3x+4}\\\\2^{x+6}=(2^4)^{3x+4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{x+6}=2^{4(3x+4)}\iff x+6=4(3x+4)\qquad\text{use the distributive property}\\\\x+6=(4)(3x)+(4)(4)\\\\x+6=12x+16\qquad\text{subtract 6 from both sides}\\\\x=12x+10\qquad\text{subtract 12x from both sides}\\\\-11x=10\qquad\text{divide both sides by (-11)}\\\\\boxed{x=-\dfrac{10}{11}}\\\\================================[/tex]
[tex]\left(\dfrac{1}{2}\right)^x=2^{x+3}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\(2^{-1})^x=2^{x+3}\\\\2^{-x}=2^{x+3}\iff -x=x+3\qquad\text{subtract x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-\dfrac{3}{2}}\\\\================================[/tex]
[tex]36^{2x}=216^{3x-1}\\\\(6^2)^{2x}=(6^3)^{3x-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\6^{(2)(2x)}=2^{3(3x-1)}\iff(2)(2x)=3(3x-1)\qquad\text{use the distributive property}\\\\4x=(3)(3x)+(3)(-1)\\\\4x=9x-3\qquad\text{subtract 9x from both sides}\\\\-5x=-3\qquad\text{divide both sides by (-5)}\\\\\boxed{x=\dfrac{3}{5}}\\\\================================[/tex]
[tex]p\%=\dfrac{p}{100}\\\\100\%-12.6\%=87.4\%=\dfrac{87.4}{100}=0.874\\\\8\ years\to(0.874)^4\approx0.584\to58.4\%\\\\\text{After 8 years, the car will be worth 58.4}\%\ \text{of the initial price.}[/tex]
The diameter of the base of the cone measures 8units. The height measures 6 units. What is the volume of the cone? 24pi cubic units, 32pi cubic units, 48pi cubic units, 64pi cubic units
Answer:
The answer is 48pi
Step-by-step explanation:
what you have to do is you have to do 8*6=48 and there you go your answer
Answer:
48pi
Step-by-step explanation: