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3 years ago

Write an equation in slope-intercept form for the line that passes through (2,-2) and is perpendicular to x + 5y =6

1 answer:

3 0

X + 5y = 6
5y = -x + 6
y = -1/5x + 6/5....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the original slope and change the sign. So we flip -1/5 and make is -5/1....and we change the sign...making it 5/1 or just 5. So our perpendicular line will have a slope of 5.

y = mx + b
slope(m) = 5
(2,-2)...x = 2 and y = -2
sub and find b, the y int
-2 = 5(2) + b
-2 = 10 + b
-2 - 10 = b
-12 = b

so ur perpendicular equation is : y = 5x - 12 <=

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What is the distance between A(-8, 4) and B(4, -1)?

Anettt [7]

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

$\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (x₁, y₁) and let B(4, -1) be (x₂, y₂). Substitute:

$d=\sqrt{(4-(-8))^2+(-1-4)^2}$

Evaluate:

$d=\sqrt{(12)^2+(-5)^2}$

So:

$d=\sqrt{144+25}=\sqrt{169}=13\text{ units}$

The distance between A(-8, 4) and B(4, -1) is 13 units.

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2 years ago

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2 years ago

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Mazyrski [523]

Answer:

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

7 0

2 years ago

Please Help. 25 points.

vodomira [7]

Answer:

$\boxed{x = 7, y = 9, z = 68}$

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

$\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}$

$\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}$

$\boxed{\mathbf{ x = 7, y = 9, z = 68}}$

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2 years ago

Statistical Tests? Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, s

pashok25 [27]

Answer:

Yes, the given analysis involves a statistical test. Population parameter of interest = '% of community people living in mobile homes' (MH)

H0 : MH = 0.09
H1 : MH > 0.09

Step-by-step explanation:

Hypothesis testing is a statistical test, of testing an assumption (statement) about population parameter.

Null Hypothesis [H0] is a neutral statement of 'no difference' about a population parameter; stating variable is no different than its mean.

Alternate hypothesis [H1] is the 'specific difference' stating hypothesis about a population parameter; contrary to the null hypothesis.

To determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater than 9% :

This analysis can be done by using statistical test : one sided 't' test. The population parameter of interest would be '% of community people living in mobile homes' (MH)

H0 : MH = 9% → MH = 0.09
H1 : MH > 9% → MH > 0.09

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2 years ago