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3 years ago

Find the slope and y-intercept and write the equation. (-98, 22), (0, -48) m = b=

Mathematics

1 answer:

velikii [3]3 years ago

7 0

Answer:

m = -35/49

c = -48

y = -35/49 x - 48

Step-by-step explanation:

Given the coordinate point

(-98, 22), (0, -48)

Slope m = y2-y1/x2-x1

m = -48 - 22/0 -(-98)

m = -70/98

m = -35/49

Substitute m = -35/49 and (0, -48) into the equation y = mx+c

-48 = 0(-35/49) + c

-48 = c

c = -48

Hence the y-intercept is -48

Get the equation

Recall that y = mx+c

y = -35/49 x - 48

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In the triangle above, which angle is smallest in measure?

Setler79 [48]

Angle A because the opposite side is the smallest, the smallest side being 28.49.

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3 years ago

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What is the value of y if 13/9 = y/18

Maslowich

Answer:

$y=26$

Step-by-step explanation:

1. Swap sides

$\frac{13}{9}=\frac{y}{18}$

Swap sides:

$\frac{y}{18}=\frac{13}{9}$

2. Isolate the y

$\frac{y}{18}=\frac{13}{9}$

Multiply to both sides by 18:

$\frac{y}{18}\cdot 18=\frac{13}{9}\cdot 18$

Group like terms:

$\frac{1}{18}\cdot 18y=\frac{13}{9}\cdot 18$

Simplify the fraction:

$y=\frac{13}{9}\cdot 18$

Multiply the fractions:

$y=\frac{13\cdot 18}{9}$

Simplify the arithmetic:

$y=26$

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Why learn this:

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.

We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.

An equation of:

$ax+b=0$

in which $a$ and $b$ are the constants and $x$ is the unknown variable, is a typical linear equation with one unknown. To solve for $x$ in this example, we would first isolate it by subtracting $b$ from both sides of the equation. We would then divide both sides of the equation by $a$ resulting in an answer of:

$x = -b/a$

8 0

2 years ago

Solve for all values of x (x+9)2=4

serg [7]

Answer:

x = -7

Step-by-step explanation:

you have to distribute the 2 to what is in the parenthesis, then you get left with 2x+18=4 so subtract the 18 from both sides leaving you with 2x=-14 so you divide both by 2 leaving you with x=-7.

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3 years ago

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PLSSSS HELPPPP<br>What is the value of <br><img src="https://tex.z-dn.net/?f=5%20%5Ctimes%20%7B2%7D%5E%7B3%7D%20%2B%205" id="Tex

tigry1 [53]

5 x 2000 = 10,000 + 5 = 10,005

4 0

2 years ago

Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch fr

mart [117]

Answer:

Answer: Around 1000 students would buy a school lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

Around 1000 students would buy a school lunch.

7 0

3 years ago