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3 years ago

The graph of quadratic parent function fwas transformed to create the graph of

Mathematics

1 answer:

Margarita [4]3 years ago

3 0

H is the correct answer. Y= (x+2)^2-5
2 to the left x+2=0 x=-2
5 dpwn

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Parallel to y - 2x = 4 and passes through (0,5)

wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0

3 years ago

H(4 1/2, -3 1/4) x (3 3/4, -1 3/4) what the midpoint of hx

shtirl [24]

Answer:

(3 7/8, 2 3/4)

Step-by-step explanation:

To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.

Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.

Now we have our x and y coordinates.

(3 7/8, 2 3/4)

6 0

3 years ago

What do you know to be true about the values of p and q?

ss7ja [257]

Answer:

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

p = 180° - (80 + 20)° = 180° - 100° = 80° and

q = 180° - (45 + 55)° = 180° - 100° = 80°

Thus p = q → B

7 0

3 years ago

If 60% of a number is 8, find 30% of that number.

podryga [215]

60/100 = 8/x

Multiply both sides by 100

60 = 800/x

Multiply both sides by x

60x = 800

Divide both sides by 60

x = 13.3333333333333

0.3 • x = answer

Answer = 4

6 0

2 years ago

Help ASAP! 20 Points!

ANTONII [103]

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

Solution:

Given that

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

Calculation of volume of cylinder :

Formula of volume of cylinder is given as:

$V_{c y}=\pi r^{2} h$

Where π=3.14

$\text { radius } r=\frac{\text {diameter}}{2}=\frac{10}{2}=5 \text { inches }$

height h = 12 inches

On substituting given values in formula of cylinder we get

$\begin{array}{l}{V_{c y}=3.14 \times 5^{2} \times 12=942 \text { cubic inches }} \\\\ {\text { Volume of cylinder }=V_{c y}=942 \text { cubic inches }}\end{array}$

Calculation of volume of cone:

Formula of volume of cone is given as:

$V_{c o}=\frac{\pi r^{2} h}{3}$

Here π=3.14

$\begin{array}{l}{\text { radius } r=\frac{\text { diameter }}{2}=\frac{10}{2}=5 \text { inches }} \\\\ {\text { height } \mathrm{h}=12 \text { inches }}\end{array}$

On substituting given values in formula of cone we get

$V_{c o}=\frac{3.14 \times 5^{2} \times 12}{3}=314 \text { cubic inches }$

$\text { Volume of cone }=V_{c o}=314 \text { cubic inches }$

On comparing the two volumes we get

$V c y: V c o=942: 314=3: 1$

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

8 0

3 years ago