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3 years ago

The table shows the relationship between a, the area of a rectangle, and h, its height, when the base remains constant.

Mathematics

1 answer:

olganol [36]3 years ago

4 0

Answer:

a = 4h.

Step-by-step explanation:

Area (a) = base (b) * height (h).

When h = 2, a = 8:

a = bh

6 = 2b

b = 4

The result 4 is the same for h = 5, 7 and 12.

So the required equation is

a = 4h.

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PLEASE HELP ASAP

maria [59]

Answer:

First option: $3x^2-5x=-8$

Second option: $2x^2=6x-5$

Fourth option: $-x^2-10x=34$

Step-by-step explanation:

Rewrite each equation in the form $ax^2+bx+c=0$ and then use the Discriminant formula for each equation. This is:

$D=b^2-4ac$

1) For $3x^2-5x=-8$ :

$3x^2-5x+8=0$

Then:

$D=(-5)^2-4(3)(8)=-71$

Since $D$ this equation has no real solutions, but has two complex solutions.

2) For $2x^2=6x-5$ :

$2x^2-6x+5=0$

Then:

$D=(-6)^2-4(2)(5)=-4$

Since $D$ this equation has no real solutions, but has two complex solutions.

3) For $12x=9x^2+4$ :

$9x^2-12x+4=0$

Then:

$D=(-12)^2-4(9)(4)=0$

Since $D=0$ this equation has one real solution.

4) For $-x^2-10x=34$ :

$-x^2-10x-34=0$

Then:

$D=(-10)^2-4(-1)(-34)=-36$

Since $D$ , this equation has no real solutions, but has two complex solutions.

3 0

3 years ago

Daisy wants to find out where the greatest number of people buy fast food for lunch. He surveys every fourth person on a random

vekshin1

Answer:

Step-by-step explanation:

that way when surveying everyone she’ll know the exact number

6 0

2 years ago

Read 2 more answers

I need to figure out what proportion I need to use to convert 3,600 feet into miles

katovenus [111]

There are 5280 feet in a mile:

5280ft/mi

When using proportions to solve for unknown quantities, you need to keep the same units on the same side. This means keep "ft" on the top side and "mi" on the bottom side.

I would go with the second choice.

4 0

3 years ago

Read 2 more answers

Dal

iogann1982 [59]

Answer:a

Step-by-step explanation:

6 0

2 years ago

The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.

Marina CMI [18]

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is $\frac{3}{4}$ rds the distance from A to B

The total distance is |16 - 8| = 8

The distance between point AB is 8 units.

$\frac{3}{4}$ of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

3 0

2 years ago