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RSB [31]
3 years ago
13

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the g

raph of 2x + 3y = –5?
y = x – 8
y = x + 1
y = x + 1
y = x + 10
Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

The equation of the parallel line would be y = 3/2x + 10

Step-by-step explanation:

In order to find this, we first need to find the slope of the first line. We can do this by solving for y.

2x + 3y = -5

3y = -2x - 5

y = -2/3x - 5/3

Now we know the slope to be 3/2 since perpendicular lines have the opposite and reciprocal. So we can use point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 1 = 3/2(x - -6)

y - 1 = 3/2x + 9

y = 3/2x + 10

While this doesn't match any of your options, it is correct for the given parameters.

Vlada [557]3 years ago
8 0

Answer:

The correct answewr choice is y = 3/2x + 10 (D)

Step-by-step explanation:

I just took the Algebra quiz.

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Joe’s family has completed 60% of a trip. They have traveled 30 miles.<br> How far is the trip?
galben [10]
The full road trip is 50 miles.
Step-by-step explanation:
Given,
Distance traveled by Joe's family = 30 miles
This represents 60% of the total distance to be traveled.
5 0
3 years ago
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Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Basile [38]
D the formula is v=(pie)(r)2(h)
Sorry I don’t have the right tools to do the equation right. But it’s D
8 0
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After a storm, 135 trees out of 180 were left standing. What is the percentage loss of the number of trees?
beks73 [17]

Answer:

Percentage loss of the number of trees is 25\%.

Step-by-step explanation:

Given: After a storm, 135 trees out of 180 were left standing.

To find: What is the percentage loss of the number of trees?

Solution:

We have,

Total number of trees =180

Number of trees left standing =135

Therefore, loss of trees=180-135=45

We now that \text {Loss\%}=\frac{\text{Number of trees left}}{\text{Total number of trees}}\times 100 \%

\implies \text {Loss\%}=\frac{45}{180}\times 100 \%

\implies \text {Loss\%}=\frac{450}{18} \%

\implies \text {Loss\%}=25 \%

Hence, the percentage loss of the number of trees is 25\%.

6 0
3 years ago
(2m-3)(2m+3)(4m^2+9)
fredd [130]

Answer:

16m^{4}−81

Step-by-step explanation:

Hope this is correct and it helps :)

6 0
3 years ago
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