PLZZZ HELP
Triangle GHI is similar to triangle JKL. Find the measure of side KL Round your
answer to the nearest tenth if necessary.
8
L
H
K

Answer:

[tex](x,y) =(-4,-3)[/tex] --- Vertex

[tex]x = -4[/tex] --- Axis of symmetry

Step-by-step explanation:

Given

[tex]y = -6(x + 4)^2 - 3[/tex]

Solving (a): The vertex

For an equation written in

[tex]y = a(x - h)^2 + k[/tex]

The vertex is:

[tex](x,y) = (h,k)[/tex]

By comparison:

[tex]y = a(x - h)^2 + k[/tex]  and [tex]y = -6(x + 4)^2 - 3[/tex]

[tex]-h =4[/tex]       [tex]k = -3[/tex]

[tex]h =-4[/tex]         [tex]k = -3[/tex]  

So, the vertex is:

[tex](x,y) =(-4,-3)[/tex]

Solving (b): The axis of symmetry

For an equation written in

[tex]y = a(x - h)^2 + k[/tex]

The axis of symmetry is:

x = h

In (a):

[tex]h =-4[/tex]

So:

[tex]x = -4[/tex]

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Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

Answer:

The answer is D.

Step-by-step explanation:

Just took the test. Got 100%.

Answer:

A: 9 seconds

B: 144 ft.

Step-by-step explanation:

A:

Let t = no. of seconds for them to meet

When they meet the sum of their distances is 270 ft, dist = rate * time

16t + 14t = 270

30t = 270

t = 270/30

t = 9 seconds

B:

He ran 9 sec at 16 ft/sec, therefore:

9 * 16 = 144 ft

simply, they can set in many different ways

Answer:

$8.75

Step-by-step explanation:

25 × 0.65 =16.25

25 -16.25=8.75

Answer:

the pants are $16.25

you saved $8.75

Answer:

58 mi^2.

Step-by-step explanation:

We can split this up into 2 rectangles and 1 triangle.

Height of the triangle = 4 + 2 + (12-11)

= 7.

Total area

= 2*12 + 2*10 + 1/2 * 4 * height of the triangle

= 24 + 20 + 1/2 * 4 * 7

= 44 + 14

= 58 mi^2.

Answer:

D

Step-by-step explanation:

m angle b equals 77 now we have to find the arc of andle b.

so use the equation arc AC = 2(77)

arcAC = 154

360 - 154

=206

206/2

= 103

Answer:

a) 0.222

b) 0.643

c) 0.811

Step-by-step explanation:

Answer:

A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).

B. Slope is found by  [tex]\frac{rise}{run}[/tex], from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1, [tex]\frac{4}{1} = 4[/tex] giving us a slope of 4.

C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).

D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10

E. The equation is not proportional because the b value is 10 rather than 0.

Answer:

A. The graph is not proportional. I know this because the line doesn't go through the origin (0, 0). B. The slope (m) of the graph is 4. C. The y-intercept is 10. D. The equation in slope-intercept form is y=4x+10. E. The equation is not proportional. I know this because the line began from 10.

Step-by-step explanation:

The graph will be proportional when the line goes through the origin, (0, 0). The equation [tex]m=\frac{y2-x2}{y1-x1}[/tex] is used to solve for the slope (m). Pick any given points from the graph that's on the line to solve for slope (m). (0, 10) and (1, 14) makes it easier to solve for "m".

[tex]m=\frac{14-10}{1-0} =\frac{4}{1} =4[/tex] (4 is the slope)

Substitute x and y with any point given to find the y-intercept:

[tex]14=4(1)+b[/tex]

[tex]14=4+b[/tex]

[tex]-4[/tex]    [tex]-4[/tex]

----------------

[tex]10=b[/tex]

*Note that the y-intercept is always (0, any number)

Example: (0, -24)

Once you know what the slope and the y-intercept are, you'll have the equation set as y=4x+10.

Answer:

A = $11117.25

Step-by-step explanation:

Given the following data;

Principal = $7,500

Interest rate = 3.975% = 3.975/100 = 0.03975

Number of times, n = 2

Time, t = 10 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]

[tex] A = 7500(1 + 0.019875)^{20}[/tex]

[tex] A = 7500(1.019875)^{20}[/tex]

[tex] A = 7500(1.4823)[/tex]

A = $11117.25

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

you see is equal it means that on might likely to be a boy

Answer:

10, 12

Step-by-step explanation:

Answer:

12 4/5

Step-by-step explanation:

Answer:

okay the answer 13.02 enjoy

Answer:

36 teachers total

Step-by-step explanation:

Answer:

I'm pretty sure its 28 cubic inches

Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

Answer: 250

Step-by-step explanation: 250 divided by 4 multiply 4 equals 250

Answer:

3

Step-by-step explanation:

Answer:

More info is needed to do this

I'll help you once that info is given

Answer:

needs more directions and info

Step-by-step explanation:

If

f(x) = ax ³ + bx ² - 5x + 9

then

f '(x) = 3ax ² + 2bx - 5

Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations

-a + b + 5 + 9 = 12

3a - 2b - 5 = 3

or

-a + b = -2

3a - 2b = 8

Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :

2(-a + b) + (3a - 2b) = 2(-2) + 8

-2a + 2b + 3a - 2b = -4 + 8

a = 4

Substitute this into the first equation above to solve for b :

-4 + b = -2

b = 2

Answer is a = 4, b = 2.

First derivative of an equation:

The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:

               [tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]

(Given)

[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]

And f'(x) we get ,  [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]

Now, also given f(-1) = 12

=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]

=> 12 = -a + b +5 + 9

=> a = b + 2 ------( 1 )

Also given,  f'(-1) = 3.

i.e.,  [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]

3 = 3a -2b -5

From eq - (1) we can replace a.

3 = 3(b + 2) - 2b - 5

3 = 3b + 6 - 2b - 5

b = 2.

a = 4.

Learn more about derivative of equation here:

https://brainly.com/question/2990272?referrer=searchResults

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Answer:

It is linear

Step-by-step explanation:

every time x goes up by 4

y goes up by 16