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Alinara [238K]
3 years ago
9

5. Write x^2 + 8x = -4y - 8 in standard form. Identify the vertex, focus, axis

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data

                                             x² + 8x = -4y - 8

                                             x² + 8x + 16  = -4y - 8 + 16

                                             x² + 8x + 16  = -4y + 8

                                             (x + 4)² = -4(y - 2)

                                             (x + 4)² = 4(-1)(y - 2)

Vertex = (-4, 2)

p =  1

Focus = (-4, 1)

Axis of symmetry  x = -4

Directrix      y = 3

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Kathy has savings a hundred thousand if she invested 100,000 in a saving fund thats adds 5% each year about how much will her sa
jok3333 [9.3K]

Answer:200,000

Step-by-step explanation:

If it increases 5% every year in 20 years it will Have increased 100% therefore the number would have doubled

5 0
3 years ago
What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio
djverab [1.8K]

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

5 0
3 years ago
7% of what lenght is 200 ft?
Nastasia [14]
If you would like to solve 7% of what length is 200 ft, you can calculate this using the following steps:

7% of what length is 200 ft
7% * x = 200
7/100 * x = 200      /*100/7
x = 200 * 100 / 7
x = 2857 ft

Result: 7% of 2857 ft is 200 ft.
5 0
3 years ago
Read 2 more answers
Simplify. (-5.12) - (-4.7) (7.021)
aksik [14]
First, you should do the product first:
(-4.7)* (7.021)= -32.9987

Then, let's do the subtraction:
(-5.12)- (-32.9987)
= (-5.12)+ 32.9987
= 27.8787

Final answer: 27.8787

Hope this would help~
7 0
3 years ago
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Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the e
ira [324]
You can replace the h and w with 6 and 3 in the expression. Then the expression is 12*6+30*3=162 dollars. So the amount paid to this employee is 162 dollars.
4 0
3 years ago
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