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tresset_1 [31]
3 years ago
14

Find the slope and y-intercept of the line that is

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

slope= 3/2

y-intercept= -1/2

Step-by-step explanation:

y =  -  \frac{2}{3} x + 5

The product of the gradients of 2 perpendicular lines is -1.

( -  \frac{2}{3} )(gradient \: of \: line) =  - 1 \\ gradient \: of \: line \\  =  - 1 \div ( -  \frac{2}{3} ) \\  =  - 1 \times ( -  \frac{3}{2} ) \\  =  \frac{3}{2}

y =  \frac{3}{2} x + c

Substitute a coordinate into the equation.

When y=7, x=5,

7 =  \frac{3}{2} (5) + c \\ 7 =  \frac{15}{2}  + c \\ c =7 -   \frac{15}{2}  \\ c =  -  \frac{1}{2}

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April had
Bumek [7]
First thing First. You must find have a common denominator. If you want to find it then you do this

3: 3 6 9 12 15 18 21
7: 7 14 21 28

Once you found a number they have in common (21) You do this next

3/7 * 3/3 = 9/21
2/3 * 7/7 = 14/21

Now the next thing you do is subtract your numerators but not the denominators

14-9=5

5/12

you cant simplified so your done! Hope this helps!!!!  <span />
3 0
3 years ago
I need help, I don't know how to do it.
Sindrei [870]

Answer:

Step-by-step explanation:

to solve this problem we can use the Pythagorean theorem

UT and TL are the legs, while LU is the hypotenuse

We have to find LU so we can proceed like this

x^2 + (x+1)^2 = LU^2

x^2 + x^2 + 1 + 2x = LU^2

2x^2 + 2x + 1 = LU^2

LU = +/- \sqrt{2x^2+2x+1

we have to take only the positive value because a length can’t be negative.

2x^2 + 2x + 1 is positive for every value of x, so the final answer is

\sqrt{2x^2+2x+1}

5 0
2 years ago
Is -9 a solution of -9f=90-f
Fantom [35]

Answer:

f = -11.25

Step-by-step explanation:

-9f = 90 - f

-8f = 90

f = 90 / -8

f = -11.25

6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPP
Gnesinka [82]
A.
the y intercept is where x=0
x represents the number of months
when the number of months is 0, that is the initial number of games won

that looks to be a little below y=2, so maybe y=1.8?
the y intercept is y≈1.8
it represents the number of games won with 0 months of practice



B.
we can use y=mx+b
m=slope
b=y intercept
we know the y intercept
find the slope
slope=rise/run
the I'm going from x=0 to x=10
the rise is about 18.95 (from 1.8 to 20.75)
the run is 10
so slope would be 18.95/10=1.895

the equation would be y=1.895x+1.8
the points were (0,1.8) and (10,20.75)
6 0
3 years ago
Box A has a volume of 12 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were multiplied by five. W
cestrela7 [59]

The formula for the volume of a box (assuming that it is in the shape of a cube) is <u>V=B^3</u>.

12=B^3

Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.

B= about 2.29 (when doing on a calculator keep full answer and do not round)

Now to find the volume of box B, multiply each dimension by 5

5(2.29...) times 5(2.29...) times 5(2.29...)

=1,500 m^3

Hope this helps!

3 0
3 years ago
Read 2 more answers
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