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erastova [34]
2 years ago
12

Write an equation parallel to y= -5/2x + 9 that passes through the point (-6,7) brainly

Mathematics
2 answers:
frozen [14]2 years ago
6 0

Answer:

Step-by-step explanation:

If two lines are parallel, that means their slopes are equal.

And we also know that the line must pass through (-6,7)

And with our point-slope equation, we get the equation:

y-7 = -\frac{5}{2} (x+6)

y - 7 = -\frac{5}{2} x-15\\y= -\frac{5}{2} x-8<------ Answer

Hope that helps!

torisob [31]2 years ago
6 0

Answer:

y=-\frac{5}{2}x-8

Step-by-step explanation:

Parallel lines have the same slope therefore...

y=-\frac{5}{2}x+b

Then, substitute the given points into the equation to solve for b (y-intercept):

7=-\frac{5}{2}(-6)+b\\7=\frac{30}{2}+b\\7=15+b\\\text{Subtract 15 from both sides}\\b=-8

Therefore the equation is:

y=-\frac{5}{2}x-8

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sergiy2304 [10]
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4 years ago
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Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
o-na [289]

Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

2 \ln x=3 \ln 4

Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

5 0
4 years ago
How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us
Pavel [41]
SSS = Side-Side-Side
If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.


SAS  = Side-Angle-Side
If two sides and the included angle are equal to the corresponding parts of another triangle then the triangles are congruent.'
The angle must be formed by the two pairs of congruent, corresponding sides of the triangles. If the angles are not formed by the two sides that are congruent and corresponding to the other triangle's parts then you cannot use the SAS postulate.

you will notice that the main difference between the two postulates is that the SAS consists of an angle and the SSS does not.

hope this helps :)




7 0
3 years ago
Find the slope of the line that passes through the two points below.<br> (3,4) and (3,-1)
tangare [24]

Answer:

Slope = (-5,0)

Step-by-step explanation:

When given two points and asked to find the slope, you can find the answer using slope formula which is:

slope = (y2 - y1) / (x2-x1)

You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.

Slope = (-1 - 4) / (3-3)

= -5 / 0

= -5,0

So the answer is (-5,0).

8 0
3 years ago
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In a sale, a clothes shop reduces its prices by 40%
bazaltina [42]
The original price of the shirt is 22
The price was reduced by 40% = 22*40/100 = 8.8
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4 0
4 years ago
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