Find the vertex and focus of
(x+3)^2 = 4 (y+2)

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

Answer:

Below :)

Step-by-step explanation:

The difference of the means would be:

90 - 50 = 40

When finding difference you need to use subtraction.

The difference is 40

The MAD score is 10

"This difference is 4 times the value of the MAD of each data set."

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

Answer:

The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.

Step-by-step explanation:

IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.

Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.

We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.

Therefore, if we add 2x+2 with x we should get 59:

2x+2+x=59

3x+2=59

3x=57

x=19

This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).

Hope this helps!

Answer:

[tex]VW = 50[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find VW

To find VW, we make use of the following equivalent ratios.

[tex]YX : XW = ZX : XV[/tex]

Where:

[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]

[tex]XV = XW + VW = 25 + VW[/tex]

So, we have:

[tex]14 : 25 = 42 : 25 + VW[/tex]

Express as fraction

[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]

Divide both sides by 14

[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]

Cross multiply

[tex](25 + VW) * 1 = 3 * 25[/tex]

[tex]25 + VW = 75[/tex]

Solve for VW

[tex]VW = 75 -25[/tex]

[tex]VW = 50[/tex]

Step-by-step explanation:

B two quadratic by addition

C a linear and quadratic by addition

D two linear by multiplication

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

[tex]d = 14.4[/tex] --- diameter

Required

Determine the circumference

The circumference is calculated as:

[tex]C =\pi d[/tex]

So, we have:

[tex]C =\pi * 14.4[/tex]

Take pi a 3.14

[tex]C =3.14 * 14.4[/tex]

[tex]C =45.216[/tex]

Approximate

[tex]C =45.2yd[/tex]

Dilation involves changing the size of a figure

The endpoints of the image are (-2,-1) and (6,1)

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (6,5)

The coordinates of the image are then calculated as:

[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]

For (2,2), we have:

[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (-2, -1)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (6, -1)[/tex]

Hence, the endpoints of the image are (-2,-1) and (6,1)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

x = 9.4868

Step-by-step explanation:

For this problem we can use the Pythagorean Theorem

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

IN THIS CASE C = X

A and B are the side and base lengths of a right triangle.

C is the Hypotenuse side.

[tex]9^2+3^2=c^2[/tex]

Solve...

81 + 9 = [tex]c^2[/tex]

90 =[tex]c^2[/tex]

[tex]\sqrt{90}[/tex] = c

c = 9.4868

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

Answer:

5x^2 + 7x

option C is your answer

Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

the answer is 3

Step-by-step explanation:

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

Answer:

9 units is the answer.

Step-by-step explanation:

points are (-10,-4) and (-10,5)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-10-(-10))^2 + (5-(-4))^2}\\\\d=\sqrt{(0)^2+(9)^2} \\\\d=\sqrt{81} \\\\d=9[/tex]

∴ d = 9 units

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

Answer:

A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Step-by-step explanation:

Given :

Percentage rented science textbooks = pS

Percentage rented Literature textbooks = pL

To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :

H0: pS = pL

Ha: pS > pL

Pvalue = 0.035 ; α = 0.05

Decision Region :

If Pvalue < α ; We reject H0

In the scenario above,

Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;

We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Answer:

No  If it would be 10 percent of the total would be the price tag without tax

Step-by-step explanation:

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

As a decimal- 5.4

As an exact form- 24/5

As a Mixed number- 5 2/5

Hope this helped :T

Answer:

pH = 6.1

Step-by-step explanation:

pH = -log[H]

pH = -log[8.1 x 10^-7]

pH ≈ 6.09

Therefore, option a, 6.1, is closest to this value and is the correct answer.

Answer:

10

Step-by-step explanation:

Answer:

0.877 but rounded it will be 0.88

Answer:

The correct answer is B.

Step-by-step explanation:

V=whl=1.5·2·5=15

Answer:

B. 15 ft.3

Step-by-step explanation:

multiply all the measurements to find the volume :)