What is the value of x?

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

Answer:

10105

1542

Step-by-step explanation:

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + [tex]\frac{3}{12}[/tex] ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]

[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]

h = [tex]\frac{55\times 5.25}{3.75}[/tex]

h = 77 ft

Therefore, height of the building will be 77 ft.

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

Answer:

One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.

The rest of the equation seems to indicate the latter, so we'll solve both:

If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.

If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.

Step-by-step explanation:

Interpretation #1:

[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]

Interpretation #2:

Here the question is much simpler, as we need only add the exponents when adding and dividing:

[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

Answer:

[tex]\frac{4}{25}[/tex] of a bag.

Step-by-step explanation:

Answer:

1400/100 x 2.25 = $31.50

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5

Answer:

5:8

Step-by-step explanation:

You have to combine the yellow and blue then put the blue amount in front.

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

3/4 is greater

7/9 is greater

5/7 is greater

Answer:

All answers expect CD

Step-by-step explanation:

A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD  are a radius  because it half of diameter,  AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C

CD is the diameter.

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

Answer:

it is 5

20-5-10=5 and there is your answer

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

Answer:

viariables

Step-by-step explanation:

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

Answer:

about $1250 per year.

Answer: 409.6

Step-by-step explanation:

Let the total number of sixth grade students be represented by x.

We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:

5/8 × x = 256

0.625x = 256

x = 256/0.625

x = 409.6

Answer:25

Step-by-step explanation: bc 5 x 5 =25

Answer:17 chocolates left

Step-by-step explanation:

5x5= 25

42 - 25 = 17

hopefully this helps

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

Answer:

is there a picture to go with the problem?

Answer:

65 1/2 or 65.5

Step-by-step explanation:

3/2 = 1.5 or 1 1/2

Answer:

65 1/2

Step-by-step explanation:

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation: