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3 years ago

Write an equation in slope-intercept form (0,2) (7,-1)

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

y=-3/7x+2

Step-by-step explanation:

first formula (Slope): y2-y1/x2-x1

-1-2/7-0= -3/7

second formula (point slope): y-y1=m(x-x1)

y-2=-3/7(x-0)

(distribute the -3/7)

y-2=-3/7x-0

(add 2 to both sides)

y=-3/7x+2

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What is the solution to the system of equations?

EleoNora [17]

The answer is C. You can solve these by plugging in and checking if each equation is true with the given answers. Also, you can solve by using elimination to get one of the variables removed. Then when you have two, two-variable problems, you can solve that system in any of the ways.

8 0

3 years ago

The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side le

algol [13]

Answer:

18 units

Step-by-step explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

Area=6*side*side

Step 2

isolate side from the equation

$side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}$

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

$side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\$

so, the value x of a side of a cube with a total

the side of a cube is 18 units when the surface area of the cube shown is 1944 units2

Have a good day.

6 0

2 years ago

Find the discount.<br> Original price: $0.75<br> Discount: ??<br> Sale price: $0.15

Svetach [21]

Answer:

80%

Step-by-step explanation:

0.75 ⇒ 100%

0.15 ⇒ x%

0.75x = 100·(0.15)

0.75x = 15

x = 15/(0.75)

x = 1500/75

x = 20%

100% - (discount) = x%

100% - (discount) = 20%

discount = 100%-20%

discount = 80%

3 0

2 years ago

Read 2 more answers

What is the solution to the system of equations below?<br> 2x + 5y = 32

Gwar [14]

Answer:

x = 16 -5/2y

Step-by-step explanation:

2x + 5y = 32

2x = 32 -5y

/2 /2

x = 16 -5/2y

4 0

2 years ago

Read 2 more answers

Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. If $S\%$ of the total legs belong to spi

Alex_Xolod [135]

Answer: 25

Step-by-step explanation:

Since, Total creepy-crawly creatures = 20

Out of which 80% are flies and 20% are spiders,

Thus, the total flies = 80% of 20 = 16

And, The total spiders = 20% of 20 = 4

Also, we know that the number of legs of a spider = 8,

⇒ Total legs belong to spiders out of 20 creepy-crawly creatures = 4×8 = 32

Again, the number of legs of a fly = 6

Thus, the total legs belong to flies out of 20 creepy-crawly creatures = 6×16 = 96

Hence, Total legs = 32 + 96 = 128

$\text{ The percentage of legs that belongs to spider} = \frac{ \text{ Number of legs of 8 spiders}}{\text{ Total legs}}\times 100$

$= \frac{32}{128} \times 100$

$= \frac{3200}{28}$

$= 25\%$

7 0

3 years ago