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4 years ago

What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)?

Mathematics

1 answer:

Evgen [1.6K]4 years ago

6 0

Answer:

y-intercept: (0,12)

Step-by-step explanation:

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Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordina

liubo4ka [24]

Answer:

$(x-15)^2+(y-30)^2=36$

Step-by-step explanation:

we know that

The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet

The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units

therefore

If the radius of the circular flower garden in the actual is 60 feet

then

the radius of the circular flower garden in the blueprint is 6 units

Find the center of the radius in the blueprint

Remember that the circular flower garden is in the center o the backyard

To find out the center, determine the midpoint of the rectangular backyard

C((0+30)/2,(0+60)/2)

C(15,30)

The equation of a circle in center radius form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(15,30)\\r=6\ units$

substitute

$(x-15)^2+(y-30)^2=6^2$

$(x-15)^2+(y-30)^2=36$

4 0

3 years ago

A window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?

SashulF [63]

Ok you wash 38 in 2 hours
now multiply 38 by 3 and that's the total you wash in 6 hours
( the 3 is the amount of 2 hour shifts total)
finally divide 38 by 2 and then add that to the total you wash in 6 hours

5 0

3 years ago

Read 2 more answers

Which equation is equivalent to 12x + 15 = 36?

aalyn [17]

X+15=3. And if you don’t mind, please look at my recent mathematics question because I am very desperate for an answer

6 0

3 years ago

Read 2 more answers

The price of a calculator is 12.50 the sales tax is 7.5 How much will you pay for the calculator

Vikentia [17]

Sales tax = 7.5%

7.5% of 12.50 = (7.5/100) * 12.5 = 0.075* 12.5 = 0.9375

tax = 0.9

Total pay = price + tax = 12.5 + 0.9375 = 13.4375

Total pay ≈ 13.44

Hope this solves it.

3 0

3 years ago

I need help ASAP 10 Points!!!

swat32

Purple color figure is similar to the original figure.

Solution:

Property of similar polygon:

Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.

(1) Compare original figure with green color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) Compare original figure with yellow color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) Compare original figure with purple color figure:

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}$

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0

3 years ago