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Nikitich [7]
3 years ago
11

Which lines are perpendicular to the line y - 1 = 1(x+2)? Check all that apply.

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

The general equation of the lines that are perpendicular is:

y=-x+b

b can by any number.

Step-by-step explanation:

The equation of a line is given by:

y=mx+a

where m is the slope and b is the intercept

The equation of a perpendicular line to the previuos one is:

y=- \frac{1}{m} x+b

That means that the slope of a perpendicular line is inverse and sign opposite to the other line.

Hence, the equation given is:

y - 1 = 1(x+2) \\ y=x+2+1 \\ y=x+3

m would be:

m=1

So the perpendicular slope would be:

- \frac{1}{m}=- \frac{1}{1} =-1

The general equation of the lines that are perpendicular to y=x+3 is:

y=-x+b

b can be any number

In attached picture:

y=x+3 is the red line

y=-x+b is the blue line

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1 Point
Ivahew [28]

Answer:

The answer is D

Step-by-step explanation:

You can find it by expanding the equation in the form of y = mx + b :

y - 4 = 3(x + 1)

y - 4 = 3x + 3

y = 3x + 3 + 4

y = 3x + 7

Then, looking at the equation "b" is a y-intercept. The line that touch/passes through y-axis is called <u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u>. From the equation, we know that 7 is the y-intercept.

By looking at the diagram, only Graph D is suitable for this equation because the line has touches 7 at y-axis.

5 0
3 years ago
I'm very confused on this....please answer thank you!!
inessss [21]
It would be y=8x+2/3

Explanation:
Y=|3/4x| is an absolute value
Y=x^3+8 is quadratic
Y=8+5/6x^2 is also quadratic (you can tell it’s quadratic because it has an exponent)
5 0
2 years ago
Original price of a suit: $250.00<br>Discount: 25%<br>Tax: 8%<br>How much will you pay?​
ozzi

Answer:

207,50

Step-by-step explanation:

1% = 2,5

2,5x25 = 62,5 250 - 62,5 = 187,5

2,5x8 = 20

187,5+20= 207,50

8 0
3 years ago
Can you help me find the measure of each angle? Diagram attached
never [62]

<u>Answer:</u>

5x = 100°

4x = 80°

<u>Step-by-step explanation:</u>

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

5x+4x=180

9x=180

x=\frac{180}{90}

x=20

Finding the measure of both the angles:

5x = 5(20) = 100°

4x = 4(20) = 80°

4 0
3 years ago
Read 2 more answers
Write a system of equations for the following situation:
wariber [46]

Answer: B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

5 0
3 years ago
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