What is one and a half plus 2 and one eighth

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

gulaghasi [49]

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point? 2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point? 3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point? 2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point? 2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point? -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

5 0

4 years ago

Read 2 more answers

Which product of prime polynomials is equivalent to 3x4 – 81x?

aleksley [76]

Answer:

3x(x – 3)(x2 + 3x + 9)

Step-by-step explanation:

Because 3x4 – 81x=3x4-3x3

and the formula is

a3-b3=(a-b)(a2+ab+b2)

but since here it is 3x4 we put 3x before the formula.

4 0

3 years ago

Read 2 more answers

The value of y or how do I solve it

Leviafan [203]

Answer:

Since it's a straight line, hence the sum of both angles must be 180°

now,

(2y + 1) + (5y - 3) = 180°

now by solving above equation u can get the value of y!

Step-by-step explanation:

id : 688 737 6744

pas : c8SNRa

6 0

3 years ago

If Janelle originally started 575

Ierofanga [76]

Given that Janelle travels at 65 mph. the number of more hours it will

take her to reach her destination is approximately 5 hours.

<h3>How can the time to reach her destination be calculated?</h3>

Possible part of the question that appear missing are;

The distance Janelle drove in 4 hours = 260 miles

The distance from which she started = 575 miles

Required:

The number of extra hours it will take her to reach her destination

Solution:

The remaining distance = 575 miles - 260 miles = 315 miles

$Speed = \mathbf{ \dfrac{Distance}{Time}}$

$Janelle's \ average \ speed = \dfrac{260 \, miles }{4 \, hours} = \mathbf{ 65 \, mph}$

$Time = \dfrac{Distance}{Speed}$

Which gives;

$Time \ to \ reach \ her \ destination = \dfrac{315 \, miles}{65 \, mph} = 4\frac{11}{13} \, hours \approx \mathbf{ 5 \, hours}$

The time it takes Janelle to reach her destination ≈<u> 5 hours</u>

Learn more about average speed during motion here:

brainly.com/question/11241290

3 0

2 years ago

There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three

irga5000 [103]

Answer:

62

Step-by-step explanation:

1. To find the total area, we must find the area of the three individual gardens and sum them together

2. Since the gardens are square, the area is equal to the side length squared

3. Therefore, square the sides and sum:

3^2 = 9

7^2 = 49

2^2 = 4

4+9+49 = 62

6 0

2 years ago