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3 years ago

Find the slope and the equation pleaseand step by step PLEASE.

Mathematics

1 answer:

Svetllana [295]3 years ago

5 0

Answer:

y = $\frac{-4}{5}$ x + 1

Step-by-step explanation:

Slope is rise over run, or the vertical progression over the horizontal progression.

Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is $\frac{-4}{5}$ .

The other half of the equation is the y-intercept, or where the line crosses the y axis. It appears to be at (0 , 1), so we can say that your y-intercept is 1.

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The variables x and y vary directly. Write an equation that relates x and y, when x = 4 and y = 16

Nesterboy [21]

Answer:

y = 4x

Step-by-step explanation:

When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".

Here, we want to know what k is, so we plug 4 in for x and 16 in for y:

y = kx

16 = k * 4

k = 16/4 = 4

Thus, our equation is y = 4x.

8 0

3 years ago

Read 2 more answers

Change 239 to a common fraction or mixed number and express it in its simplest form

Evgen [1.6K]

If this is suppose to be 239%....

change to a fraction to look like this 238/100. This number cannot be reduced, so the common fraction is 239/100.

to make it a mixed number, you would simply divide 239 by 100. Your answer would come out to 2 with a remainder of 39. Put the remainder over the divisor and your answer for a mixed number will be 2 and 39/100.<span />

8 0

4 years ago

WILL GIVE BRAINLIEST (BUT ONLY IF YOU KNOW IT AND IF ITS CORRECT, OTHER WISE I WILL REPORT!)

Natali5045456 [20]

The answer is going to be 8 because it’s all real numbers greater than or equal to 8

3 0

3 years ago

If the foundation of a new house requires 240 cubic feet of concrete, then how many cubic yards of concrete should be ordered?

shusha [124]

Answer:

Step-by-step explanation:

240/3 = 80

5 0

3 years ago

Find the measures of each angle in the inscribed quadrilateral.

Marat540 [252]

Answer:

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

Step-by-step explanation:

* Lets study the figure

- A circle and inscribed quadrilateral PQRS

- The four vertices of the quadrilateral lie on the circumference

of the circle

∴ PQRS is a cyclic quadrilateral

* Lets revise the properties of the cyclic quadrilateral

- Each two opposite angles are supplementary, that means

the sum of each two opposite angles = 180°

- The measure of the exterior angle = the measure of the

opposite interior angle

* Lets solve the problem

∵ PQRS is a cyclic quadrilateral

∴ m∠P + m∠R = 180° ⇒ opposite angles

∵ m∠P = 5y + 30

∵ m∠R = 15y + 50

∴ 5y + 30 + 15y + 50 = 180 ⇒ add the like terms

∴ 20y + 80 = 180 ⇒ subtract 80 from both sides

∴ 20y = 100 ⇒ divide both sides by 20

∴ y = 5

* Now lets substitute the value of y in each angle to find

their measures

∵ m∠P = 5y + 30

∴ m∠P = 5(5) + 30 = 25 + 30 = 55°

∵ m∠R = 15y + 50

∴ m∠R = 15(5) + 50 = 75 + 50 = 125°

∵ m∠Q = y² + 85

∴ m∠Q = 5² + 85 = 25 + 85 = 110°

∵ ∠S is opposite to ∠Q

∴ m∠S + m∠Q = 180° ⇒ opposite angles in the cyclic quadrilateral

∴ m∠S + 110 = 180 ⇒ subtract 110 from the both sides

∴ m∠S = 70°

* The measures of the angles are

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

8 0

3 years ago

Find the slope and the equation pleaseand step by step PLEASE.​

Find the slope and the equation pleaseand step by step PLEASE.