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2 years ago

Find the equation of the line that passes through (-1,-3) and is perpendicular to

Mathematics

2 answers:

miv72 [106K]2 years ago

3 0

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Alenkinab [10]2 years ago

3 0

Answer:

y = -x/2 - 7/2

Step-by-step explanation:

Equation of the line (current) in y = mx + c

2y = x - 3
y = x/2 - 3/2

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

y = -x/2 - 7/2

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kogti [31]

Answer:

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3 0

2 years ago

Find the product of 3 and the linear equation, and solve for both equations for y.

krok68 [10]

Answer:

Part 1) The product of 3 and 2y-4x=8 is $6y-12x=24$

Part 2) The original equation in slope intercept form is $y=2x+4$

Part 3) The new equation in slope intercept form is $y=2x+4$

Step-by-step explanation:

we have

$2y-4x=8$

step 1

Find out the product of 3 and 2y-4x=8

Multiply both sides by 3

$3(2y-4x)=3(8)$

Apply distributive property both sides

$6y-12x=24$

step 2

Find out the original equation in slope intercept form

The equation of the line in slope intercept form is

$y=mx+b$

we have

$2y-4x=8$

Solve for y

That means ----> Isolate the variable y

Adds 4x both sides

$2y=4x+8$

Divide by 2 both sides

$y=(4x+8)/2$

Simplify

$y=2x+4$

step 3

Find out the new equation in slope intercept form

The equation of the line in slope intercept form is

$y=mx+b$

we have

$6y-12x=24$

Solve for y

That means ----> Isolate the variable y

Adds 12x both sides

$6y=12x+24$

Divide by 6 both sides

$y=(12x+24)/6$

Simplify

$y=2x+4$

8 0

3 years ago

48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually

oksian1 [2.3K]

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

=> $t = -1.04$

The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

Form the z-table

$P(z > |-1.04|) = 0.15$

=> $p-value = 2 * 0.15$

=> $p-value = 0.3$

Given that $p-value > \alpha$ we fail to reject the null hypothesis

Hence we can conclude that there is no sufficient evidence to support the executive claim

5 0

3 years ago

I need some help on my math, please and thank you :)

miskamm [114]

In down angle there is 26 there is not 28 so 28×2 =56

Step-by-step explanation:

we need angle on the left side 2

5 0

2 years ago

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vovikov84 [41]

Answer:

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7 0

2 years ago