Complete the equation of the line through (4,-8) and (8,5)

Answer:

the answer is c

Step-by-step explanation:

l

Answer:

The correct answer is - 6 hours 24 minutes.

Step-by-step explanation:

Given:

Clock A - The short hand points just after 2 and the long hand points to the third tick mark after 2 = 2'O clock and thirteen minutes.

Clock B - The short hand points about halfway between 8 and 9 and the long hand points to the second tick mark after 7 = 8'O clock and 37 minutes.

Solution:

The time difference between two clocks can be calculated by subtracting the time of clock A from the time of clock B.

time passed = 8'O clock and 37 minutes - 2'O clock and thirteen minuts

= 6 hours and 24 minutes.

Answer:

x = 6 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+ x^2 = 12^2

36 + x^2 = 144

Subtract 36 from each side

x^2 = 144-36

x^2 =108

Take the square root of each side

sqrt(x^2) = sqrt(108)

x = sqrt(36*3)

x = 6 sqrt(3)

Answer:

Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)

The formula for finding the slope from two points is attached to this answer.

So if we plug in our values that correspond to the formula we get the following:

First pair: -3 is our x1, -3 is our y1,

Second pair: -4 is our x2, -8 is our y2

-8--3/-4--3

-8+3/-4+3

-5/-1=5, Our slope is 5 for question 12

Question 18: Find the area of a circle with a diameter of 31.

Area=[tex]\pi r^2[/tex]

So we have [tex]15.5^{2} \pi[/tex]

240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18

Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg

We know that the hypotenuse is 8cm and one of the legs is 5cm

the formula would be [tex]a^{2} +b^{2}= c^{2}[/tex] for the hypotenuse but this can be used to find the missing legs as well.

[tex]5^{2} +b^{2} =8^{2}[/tex]

[tex]25+b^{2} =64[/tex]

Subtract 25

[tex]b^{2} =39[/tex]

b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.

Question 23: Find the volume of a cone

Radius: 10, height: 7

Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height

1/3 times 3.14 times 10^2 times 7

1/3 times 3.14 times 700

1.046 (the 46 is repeating) repeating times 700

732.06 repeating, the 6 is repeating.

The question also asks us to round to the nearest whole number so the answer to question 23 would be 733

Question 26: Find the volume of a sphere

Radius is 6 and pi is 3.14

Formula: [tex]4\pi \frac{r^3}{3}[/tex]

So we have 4 times 3.14 times 6^3 divided by 3

4 times 3.14 times 108/3

4 times 3.14 times 36

12.56 times 36

452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong

Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.

Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so

65 * 2 = 32.5, which rounds up to 33

33 is our answer to question 47

Hope I helped, have a nice day :)

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.

the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)

Step-by-step explanation:

we are looking for a line equation

y = a×x + b

the 2 points give us 2 equations to solve for the 2 variables a and b :

0 = a×4 + b

-2 = a×0 + b

=> b = -2

=> -b = a×4, => a = -b/4 = 2/4 = 1/2

so, the right equation for the line going through both points is

y = 1/2×x - 2

the difference to the original equation is simply the offset from the x- axis in the y direction.

the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)

Answer:

D

Step-by-step explanation:

an undefined slope has the same x value no matter what y value it has, therefore, D

(please rate and thank)

Answer:

6 percent increase

Step-by-step explanation:

66-60=6

So a 6 percent increase.

Answer:

10 percent increase

Step-by-step explanation:

60 ÷ 6 = 10

Hope this helps!

Answer:

i think isA

Step-by-step explanation:

Step-by-step explanation:

system of Linear Equations 2 variables

hamburger = x

fries = y

Stefan

3x + 4y = $26.5

Nancy

4x + 2y = $29.5

elimination

3x + 4y = $26.5 | ×1 |

4x + 2y = $29.5 | ×2 | -

3x + 4y = $26.5

8x + 4y = $59. -

-5x = $-32,5

x = $-32,5 ÷ -5

x = hamburger = $6.50

I hope this help

Answer:

y - 22 = 14(x - 1)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 14x - 3 ← is in slope- intercept form

with slope m = 14

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 14 and (a, b) = (1, 22) , then

y - 22 = 14(x - 1)

Answer:

The same as

Step-by-step explanation:

When writing coordinates₋₋also known as "points" on a coordinate plane₋₋you write it as (x point,y point) more simply written as (x,y).

So in both tables, you can see that there are several coordinates listed. Each with the same format (x,y).

If you compare the two tables, you can see that the numbers in the (x,y) position are the exact same for corresponding coordinates.

Now you can conclude what the answer is:

The x-coordinates in Table A are the same as the x-coordinates in Table B.

Answer:

the way you find the percentage of a fraction normally is dividing the numerator by the denominator. so fill in 100 as the denominator.

ex: x/100 = 0.x

or, just put a 0.(number) because that also works

Answer:1

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

Answer:

last option is correct

Step-by-step explanation:

8x-17=5x+19(being corresponding angles)

8x-5x=19+17

3x=36

x=36/3

x=12

Answer:

its area is square (11+17+4)

I guess this may help you

Answer:

222

Step-by-step explanation:

11* 17 = 187

4*5=20

5*6/2=15

187+20+15=222

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

Answer:

for 50 pulls, 12.5 blue socks, but you cant have half of a sock so we say 12

for 1000 pulls, 250 blue socks

for 10,000 pulls, 2500 blue socks

Step-by-step explanation:

First we add 5, 7 and 8 to find the total number of socks, 5+7=12 and 12+8 = 20

5 is the amount of blue socks, so

5/20 * how many pulls are conducted is the probability for blue socks

7 is the amount of pink socks, so

7/20 * how many pulls are conducted is the probability for pink socks

and

8 is the amount of yellow socks, so

8/20 * how many pulls are conducted is the probability for yellow socks

Answer:

12x3+6x2+34x+17

Step-by-step explanation:

(2x+1)(6x2+8+9)

=(2x+1)(6x2+8+9)

=(2x)(6x2)+(2x)(8)+(2x)(9)+(1)(6x2)+(1)(8)+(1)(9)

=12x3+16x+18x+6x2+8+9

=12x3+6x2+34x+17

Answer:

5

Step-by-step explanation:

If you multiply each side by 5 to get 42:30 then subtract 42 by 30, 12 is leftover.

Answer:

The numbers should be 42 and 30

Step-by-step explanation:

Okay, so the equation should be:

7x - 5x = 12

2x = 12

x = 6

and find the numbers:

7 x 6 = 42

5 x 6 = 30

Answer:

Step-by-step explanation:

3x^5+6x^3

=3x^3(x^2+2)

Answer:

[tex]3x^{2} (x^{2} +2)[/tex]

Step-by-step explanation:

Factor [tex]3x^{3}[/tex] out of [tex]3x^{5}[/tex] [tex]+[/tex] [tex]6x^{3}[/tex]

Answer:

30 squares would be next in sequence

Step-by-step explanation:

each block of squares are adding as many as it takes to make an L around the previous square

===========================================================

Explanation:

Let's go through the answer choices

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

Answer:

Above that (1, 0, 1) is a solution to a system of three linear equations, The system can only be independent and consistent. is true about the system.

Problem 1

height of flagpole = meters (SI), feet (imperial)

area of walls = square meters (SI), square feet (imperial)

amount of water = liters (SI), gallons (imperial)

volume of grocery bag = liters (SI), gallons (imperial)

-----------

There's not much explanation here. It's simply something you memorize.

======================================================

Problem 2

1 ft = 12 inches

5 ft = 60 inches .... multiply both sides by 5

5 ft, 10 in = 60+10 = 70 inches

To convert from inches to cm, we multiply by 2.54 (approx)

70 in = 70*2.54 = 177.8

Shane is roughly 178 cm tall

======================================================

Problem 3

1 km = 1000 m

0.65 km = 650 m .... multiply both sides by 0.65

1 m = 100 cm

650 m = 65000 cm ... multiply both sides by 650

We can see that 0.65 km is the same as 65000 cm

======================================================

Problem 4

1 pound = 16 ounces

Based on this, we divide by 16 to go from ounces to pounds

50 oz = 50/16 = 3.125 pounds

Answer:

Step-by-step explanation:

sin 32 degree = x/48

0.529*48 = x

25.392 = x

x = 25.4 (after converting to the nearest tenth)

tan 62 degree = 25/x

1.88 = 25/x

x = 25/1.88

x = 13.29

x = 13.3 (after converting to the nearest tenth)