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3 years ago

Write the equation of a line with a slope of 3 that passes through (-3,2).

Mathematics

1 answer:

ratelena [41]3 years ago

6 0

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

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Determine all values of h and k for which the system S 1 -3x - 3y = h -4x + ky = 10 has no solution. k= ht

Lana71 [14]

Answer:

$h\neq 7.5$

k = -4

Step-by-step explanation:

Given system of equations are,

-3x-3y = h

-4x + ky = 10

We have to find the values of h and k such that system of equations has no solution.

The standard form of system of equation in two variables can be given by,

$a_1x+b_1y+c_1=0$

$a_2x+b_2y+c_2=0$

And condition for the system of equations has no solution is given by,

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}$

So, by comparing the standard form of equations with given equations, the condition such that system has no solution can be written as,

$\dfrac{-3}{-4}=\dfrac{-3}{k}\neq \dfrac{h}{10}$

$=>\dfrac{-3}{-4}=\dfrac{-3}{k}$

=> k = -4

and $\dfrac{-3}{-4}\neq \dfrac{h}{10}$

$=>\ \dfrac{-3\times 10}{-4}\neq h$

$=>\ h\neq \dfrac{30}{4}$

$=>\ h\neq 7.5$

So, the value of h and k for above given system of equations is

$h\neq 7.5$ and k = -4.

7 0

3 years ago

What is the graph for y=3(x-1)^2

DaniilM [7]

Answer:

I attached it

Step-by-step explanation:

6 0

3 years ago

1. Subtract the linear expressions.

jeyben [28]

$(1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6$

7 0

3 years ago

A cafe at a nearby school surveyed 575 students about their favorite food. Find the number of students that responded for each o

Otrada [13]

575 times 0.08 equals 46.(chicken)
575 times 0.20 equals 115.(salad)
575 times 0.16 equals 92.(burgers)
575 times 0.24 equals 138.(fruit)
You're welcome

8 0

4 years ago

PLEASE HELP I WILL GVE BRAINLIEST

erica [24]

Answer:

-3y

Step-by-step explanation:

- $\sqrt{9}$ $\sqrt{y^{2} }$

--> -3 $\sqrt{y^{2} }$

--> -3y

5 0

3 years ago