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3 years ago

What is the slope of

Mathematics

2 answers:

liraira [26]3 years ago

6 0

Answer:

3/2

Step-by-step explanation:

$y = mx + b$

where m is slope and b is y-intercept.

If we want to find the slope, you have to convert the equation into slope-intercept form. We have to move the whole equation to another side, leaving only y-term.

$2y - 3x = 7 \\ 2y = 7 + 3x \\ y = \frac{7 + 3x}{2}$

Simplify/Rearrange the equation into slope-intercept form.

$y = \frac{7}{2} + \frac{3}{2} x \\ y = \frac{3}{2} x + \frac{7}{2}$

Therefore, our slope is 3/2

earnstyle [38]3 years ago

4 0

Answer:

3/2 is slope

m= slope

y=mx+b

Step-by-step explanation:

2y=3/2x+7/2

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Help PLZ I am failling math

harina [27]

There number rounds to 3000 so divide that by 11 and round up your answer
have a good day!!

5 0

3 years ago

Please help! "Indicate the equation of the given line in standard form. The line containing the midpoints of the legs of right t

julsineya [31]

Nice. We're not really told which is the right angle. We can tell from the squared distances:

$AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52$

$BC^2=(3-1)^2+(4-1)^2=2^2+3^2=13$

$AC^2=(3- -5)^2+(4 -5)^2=8^2+1^2=65$

We see $AC^2=AB^2+BC^2$ so B is the right angle.

That was preliminary and probably indicated in an associated figure.

Now we want the line through the midpoint of the legs, AB and BC, in standard form.

The midpoint of AB is the average of the coordinates of A and B:

$\left( \dfrac{-5 +1}{2}, \dfrac{5+1}{2} \right) = (-2,3)$

The midpoint of BC is

$\left( \dfrac{1 + 3}{2}, \dfrac{1 + 4}{2} \right) = ( 2, \frac 5 2)$

The line through those points is

$(y - 3)(2 - -2)=(x - -2)(\frac 5 2 - 3)$

$4y - 12 = (x+2)(- \frac 1 2)$

$8y - 24 = -x -2$

$x + 8y = 22$

That's the answer. Let's check it.

Midpoint of AB is (-2,3), -2 + 8(3)=22 good.

Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.

$\textrm{Answer: } x + 8y = 22$

4 0

3 years ago

PLEASE HELP ME thank you<br><br> answer needs to be in simplest radical form <br><br> find d

sweet [91]

Answer:

$d=10$

Step-by-step explanation:

Pythagorean theorem:

$d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}$

Alternative:

$\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}$

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths $x-x-x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse. Since this triangle's hypotenuse is $10\sqrt{2}$ , its sides are $10-10-10\sqrt{2}$ .

3 0

3 years ago

Read 2 more answers

Given the function f(x) = 6x^2 −13, what is f(-3)?

Naya [18.7K]

<h3>Answer: 41</h3>

Work Shown:

f(x) = 6x^2 - 13

f(x) = 6(x)^2 - 13

f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify

f(-3) = 6(9) - 13

f(-3) = 54 - 13

f(-3) = 41

7 0

3 years ago

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the c

Alexxandr [17]

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the cost in dollars, and g represents

(a) four (gallons of gas, cost) pairs that fit this relationship.

Plug in some values for g and find out C

c = 2.95g

g= 1, C= 2.95(1) = 2.95

g= 2, C= 2.95(2) = 5.9

g= 3, C= 2.95(3) = 8.85

g= 4, C= 2.95(4) = 11.8

four pairs are (1,2.95) (2,5.9) (3,8.85) (4,11.8)

2. Create a table or graph of the relationship.

Use the above points we got from part (a) for graphing

The graph is attached below

(3) What does 2.95 represent in this situation?

g= 1, C= 2.95(1) = 2.95

This means when 1 gallon purchased then the cost is 2.95 dollars

2.95 represents the cost of 1 gallon of gas

(4) Jada's mom remarks, "You can get about a third of a gallon of gas for a dollar."

c = 2.95g

c is the cost , and g is gallons

cost is 1 dollar so we replace c with 1

1 = 2.95 g

Divide by 2.95 on both sides

$g=\frac{1}{2.95}$

That is one third of a gallon of gas

So she is correct.

8 0

4 years ago