find the slope of a line that passes through the points (-4,3) and (7,5)

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

Step-by-step explanation:

equation of the line is

y =mX + C

to calculate m(slope) :

m= 10-2/5-1 = 2

to find C ....Substitute in eq. by one point

2= 2×1+C

C. = 0

So the eq. is

y=2X

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

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Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

Answer:

X>6

Step-by-step explanation:

X-8<-2

X<-2+8

X>6

because the sign changed from negative to positive, the inequality has to be flipped

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

Answer:

Curl ups

Step-by-step explanation:

I'm not 100% sure, but it seems like the most logical answer to me.

Answer:

Trunk Lift

Step-by-step explanation:

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

Answer:

That's wonderful!

Step-by-step explanation:

I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

Answer:

56.66666667??? i think

Step-by-step explanation:

Answer:

The simplified answer is -335x-850

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

480/20=24

Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

4*24=96

According to this, the answer is that the club made a profit of $96 from the shirt sale.

Answer:

joan chris martin sara

Step-by-step explanation:

9514 1404 393

Explanation:

1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*

_____

The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.

Answer:

0,6

9,8

0,9

Step-by-step explanation:

Answer:

B

Step-by-step explan

150 divide by 25

25 divide by 25

Answer:

-1.5-21x

Step-by-step explanation:

Answer:

G is equal to (8, -11)

Step-by-step explanation:

We are given the midpoint and one end of the line segment.  We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:

[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]

So the coordinates of endpoint G are (8, -11)

Answer:

84 degrees i think

Step-by-step explanation:

polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.

Answer:

There will be 23 gallons

Answer:

23 gallons

Step-by-step explanation:

the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23