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2 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

5 0

You -4x then divide 3y
y= -4/3x -7

monitta2 years ago

3 0

Slope intercept form is y=mx+b so you want to subtract 4x from both sides which will now leave you with 3y=-4x-21 so now all we have to do is divide by 3 and we will get -1 1/3x-7 which is your answer

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What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 1, and is al

castortr0y [4]

Answer:

$y = \frac{1}{2}x - 2$

Step-by-step explanation:

Given lines,

y = 2x - 5,

y = -x + 1

Subtracting these two equations,

0 = 3x - 6

$\implies 3x = 6$

$\implies x = \frac{6}{3}=2$

By first equation,

$y=2(2) -5=4-5 = -1$

Thus, point of intersecting would be (2, -1).

Now, the equation of a line is y = mx + c,

Where,

m = slope of the line,

So, the slope of the line $y=\frac{1}{2}x+4$ is 1/2.

∵ two parallel lines have same slope.

Hence,

Equation of the parallel line passes through (2, -1),

$y+1=\frac{1}{2}(x-2)$

$y+1=\frac{1}{2}x - 1$

$y = \frac{1}{2}x - 2$

8 0

2 years ago

1.Find the dot product of the two given vectors, u=(1,6) and v=(-5,-2) 2. Find the dot product of v=-7i+4j and w=-6i+5j

Svet_ta [14]

The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j

Hence the answer is:
v*w=(-42i+20j)

8 0

2 years ago

Read 2 more answers

A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample varianc

Nady [450]

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

$\alpha$ = 0.05

$H_{0}$ = Population Variance 1 ≤ Population Variance 2

$H_{a}$ = Population Variance 1 > Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is $F_{0.05}$ = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

3 0

2 years ago

How many times dose 18 go into 170

Leokris [45]

I think it is 10 because 18×10=180 but it is close hope this helps

7 0

2 years ago

Which of the following is a polynomial?

Artyom0805 [142]

Answer:

Step-by-step explanation:

8 0

2 years ago