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Alborosie
2 years ago
5

Write the equation that represents the line that goes through the point (5, -7) and has slope m=-3

Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

Answer:

<u>y = -3x + 8</u>

Step-by-step explanation:

<u>Given :-</u>

Point on line = (5, -7)

Slope (m) = -3

<u>To find :-</u>

Equation of line

<u>Solving :-</u>

Using point-slope form of equation,

y - y₁ = m(x - x₁)

y + 7 = -3(x - 5)

y + 7 = -3x + 15

<u>Solution :-</u>

<u>y = -3x + 8</u>

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yulyashka [42]

Answer:

x = 5

Step-by-step explanation:

a || b and a line intersecting them is their transversal.

\therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\\therefore 60 - 2x = 70 - 4x\\\\\therefore 4x - 2x = 70 - 60\\\\\therefore 2x = 10\\\\\therefore x =\frac{10}{2} \\\\\huge \orange {\boxed {\therefore x = 5}}

4 0
3 years ago
Divide using long division. HELP ASAP!!
pav-90 [236]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

                               7x³  - 7x²   + 6x   +4                        Result

                  x + 1     7x⁴  -  0x³  - 1x²  +  10x  + 15

                             -7x⁴   -  7x³

                               0     -  7x³  - 1x²      

                                       + 7x³ +7x²

                                          0    + 6x² +  10x

                                                - 6x²  -    6x

                                                    0    +   4x  + 15

                                                          -    4x  -   4

                                                                0   + 11            Remainder

Result =  7x³ - 7x² + 6x + 4 + 11 / x + 1

8 0
3 years ago
Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?
fiasKO [112]

Answer:

  • D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

  • √4²+3²= √25 = 5 miles

Correct choice is D

3 0
3 years ago
Determine whether this system of equations has one solution, no solution, or infinitely many solutions.
prohojiy [21]

Answer:

The only solution I see is for x=0

Step-by-step explanation:

y=8x+2

y=-8x+2

y=y so substitute:

8X+2=-8X+2

Subtract 2 from each side

8X=-8X

divide each side by 8

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4 0
3 years ago
If each dozen cookies needs 3/4 of a bag of flour to make,how many bags of flour does grandma needs to buy if she is making 10do
stepan [7]

Answer:

7.5 flour bag

Step-by-step explanation:

we are given

flour bags need to make 1 dozen cookies=3/4

we have to find

number of flour bags for 10 dozen cookies needed =?

1 dozen cookies needed flour=3/4

and for 10 dozen cookies

we will multiply 10 on both sides

it will give

10 dozen cookies needed flour bags=(3/4)*10=30/4=15/2=7.5

6 0
3 years ago
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