Please help me somebody!

Answer:

[tex]y=\frac{7}{2} x -8[/tex]

Step-by-step explanation:

We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

First, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:

[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{0-4}[/tex]

Subtract

m=[tex]\frac{-14}{-4}[/tex]

Divide

m=[tex]\frac{7}{2}[/tex]

The slope is 7/2

Here is the equation of the line so far:

[tex]y=\frac{7}{2}x + b[/tex]

We now need to find b

As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.

Taking (4,6) for instance:

[tex]6=\frac{7}{2}(4) + b[/tex]

Multiply

[tex]6=14 + b[/tex]

Subtract

-8 = b

The equation therefore is:

[tex]y=\frac{7}{2} x -8[/tex]

Topic: slope-intercept form

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(explanation attached)

Answer:

The answer is letter D 0,6,12,18,24

Step-by-step explanation:

hope it's can help

9514 1404 393

Answer:

  y = 1/5

Step-by-step explanation:

Divide both sides of the equation by the coefficient of the variable.

  7 = 35y

  7/35 = (35y/35)

  1/5 = 1y

  y = 1/5

_____

A number divided by itself is 1. A number multiplied by 1 is unchanged.

To get from 35y to 1y, or y, divide by 35. That gives you (35/35)y = 1y = y.

Whatever you do to one side of the equation must also be done to the other side. Dividing 7 by 35 gives 7/35 = (7/7)×(1/5) = 1/5.

Answer:

42

Step-by-step explanation:

rewrite by changing subtraction sign to addition and the following number to opposite

- always involves two sign changes

have a good day

Answer:

246

Step-by-step explanation:

2(5)^3 - 4(1)^2

250 - 4

246

Answer:

Step-by-step explanation:

70000

Answer:

72 miles

Step-by-step explanation:

18x2x2

Answer:

The top of the ladder is sliding down at a rate of -1.25 ft/s.

Step-by-step explanation:

From the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)

Note that the hypotenuse c is a constant value at 26 feet. Substitute:

[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]

We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.

In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.

First, we can differentiate both sides with respect to t, where a and b are both functions of t:

[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]

Implicit differentiation yields:

[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]

Next, since we know that b = 10 ft, we can find a:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]

Substitute and solve for da/dt:

[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]

Since the ladder is sliding down the wall, da/dt is expected to be negative.

In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.

Answer:

your answer is c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Im pretty sure it's B  X is going by 4's 4,8,12 then y is going by 12

Hope this helps you !! :)

The solution is, the slope of the line in the graph is 5/7.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points ( 0,0) and, (5,7).

now, we know that

slope of a line is,

m = x1 - x2 / y1 - y2

so, we have,

here,

Slope(m) = 5-0/7-0

               = 5/7

Hence, The solution is, the slope of the line in the graph is 5/7.

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Answer:

x=-5

Step-by-step explanation:

-5*-3=15

15-2=13

Hope it helps

Answer:

x = -5

Step-by-step explanation:

-3x-2=13

Add 2 to both sides of the equation

-3x-2+2=13+2

Simplify

-3x=15

Divide both sides of the equation by the same term

[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]

Simplify

x = -5

Answer:

31

Step-by-step explanation:

you're just subtracting by two's as the pattern goes on.

In the given pattern 41,39,37,35,33​,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:

41, 39, 37, 35, 33

The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.

So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31

The next number in the pattern is 31.

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Answer:

Domain = (infinity, infinity) Range = (3,0)

Step-by-step explanation:

Hard to explain without giving a 15 minute lecture lol

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression   (x,y) -> (x/p , y)

Answer:

31.36cm;22.4cm

Step-by-step explanation:

hope this helps

Answer:

Answer: 31.36 cm² ; 22.4 cm

Area:

[tex]{ \rm{area = (side \times side)}} \\ { \rm{area = (5.6 \times 5.6)}} \\{ \underline{ \underline { \rm{ \: \: area = 31.36 \: {cm}^{2} \: \: }}}}[/tex]

Perimeter:

[tex]{ \rm{perimeter = (4 \times side)}} \\ { \rm{perimeter = (4 \times 5.6)}} \\ { \underline{ \underline{ \rm{ \: \: perimeter = 22.4 \: cm \: \: }}}}[/tex]

Answer:

7

Step-by-step explanation:

Pine Street in x miles long.

Maple street is 3 times as long as Pine Street, so Maple street is 3x miles long.

Maple street is 21 miles long.

3x = 21

x = 7

Maple Street is 7 miles long.

A product of 10 has a number in one's position, and another figure will be 0.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The one number is 10.

And let the other number of two digits will be xy.

Then the product of 10 and another number will be

10 × xy = xy0

The number at ones place when the product of 10 and another number will be 0.

More about the Algebra link is given below.

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There were 55 questions in the test.

Answer:

55

Step-by-step explanation:

Answer: plug 32 in for m

Step-by-step explanation:

Answer:

$126

Step-by-step explanation:

I divided the figure in 3 parts, 1 triangle and 2 rectangles

found the area of each figure and added all to find the total area

Answer:

1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins

Step-by-step explanation:

Answer:

7/17

Step-by-step explanation:

Answer:

P(y,x)=P

y = 1/3x + 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-4/(k+7)

For k=-8

-4/(-8+7)

-4/-1

4

Answer:

10 and 1 fourth

Step-by-step explanation:

41 over 4 = 41/4 so you divide 41 by 4 which is 10 R1 so its 10 wholes, 1 and 4