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Archy [21]
3 years ago
14

Write the equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7)

Mathematics
1 answer:
mina [271]3 years ago
8 0

To Find :

The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).

Solution :

A quadratic equation in vertex form is given by :

y = a(x-h)^2 + k  

( Here, h, k is the vertex )

y = a(x-(-4))² + (-5)

y = a(x+4)² - 5

Now, putting (-3,-7) in above equation:

-7 = a( -3 + 4 )² - 5

a(1)² = -2

a = -2

Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .

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Find the volume of the sphere pictured below. The sphere has a radius of 20 cm. Use 3.14 for pi. Give your answer rounded to the
zhenek [66]

Answer:

33493.3

Step-by-step explanation:

Sphere

Solve for volume

V=4/3πr^3 4/3*3.14*20^3=33493.3

6 0
3 years ago
A bag contains yellow marbles and blue marbles, 73 in total. The number of yellow marbles is 7 more than 5 times the number of b
Roman55 [17]

Answer:

number of yellow marbles=62.

Step-by-step explanation:

It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.

Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.

Now, Total number of marbles= number of yellow marbles+number of blue marbles.

⇒73=x+5x+7

⇒73-7=6x

⇒66=6x

⇒x=11

Therefore, numberof blue marbles=x=11 and

number of yellow marbles=5x+7=5(11)+7=55+7=62.

8 0
3 years ago
Round 248,739 to the nearest hundred
vampirchik [111]

Look at your hundredth spot which is where the 7 is. So…

248, 739

Since 3 is not 5 or higher you cant round 7 up to 8. So your correct answer is 248,700

Hope this helps!

7 0
3 years ago
Find the sum and simplify the following expressions. <br> (s + 12) + (3s – 8)
nika2105 [10]

Answer:

4(s+1)

Step-by-step explanation:

(s+12) + (3s -8)

s+12+(3s-8)

s+12+3s-8

4s+12-8

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8 0
2 years ago
The width of a rectangle is 3 meters less than the length period the perimeter is 14 meters. Find the width
beks73 [17]
The width of the rectangle is 2 meters
3 0
3 years ago
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