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2 years ago

Write an equation in slope-intercept form for the line that passes through (0,1) and (1,3)

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:

y= 2x+1

Step-by-step explanation:

Points:

(0,1) and (1,3)

Form of the line:

y=mx+b, m- the slope, b- y-intercept

Finding the slope:

m= (y2-y1)/(x2-x1)
m=(3-1)/(1-0)= 2/1= 2

Line is now:

y= 2x+b

Using one of the given points to find out the value of b:

1=2*0+b
b=1

So the equation for the line is:

y= 2x+1

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Suppose you buy 3 pizzas for a party. Each pizza is cut into 8 slices. Twenty slices are eaten. How many whole pizzas are eaten?

vladimir2022 [97]

2 1/2 pizzas are eaten.

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3 years ago

ANYONE KNOW THE ANSWER TO THIS??

mojhsa [17]

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

3 0

3 years ago

Read 2 more answers

Calculer x si (x+1/2)^2= 4/9

-Dominant- [34]

Answer:

$x=-\frac{7}{6}\\x=\frac{1}{6}$

Step-by-step explanation:

The equation to solve is:

$(x+\frac{1}{2})^2=\frac{4}{9}$

To get rid of the "square", we need to take square root of both sides:

$\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}$

Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:

$x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}$

So these are 2 answers for x.

5 0

2 years ago

On a map, 1 inch equals 25 miles. Two cities are 9 inches apart on the map. What is the actual distance between the cities?

Nataly [62]

Answer:

225 miles

Step-by-step explanation:

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3 years ago

Read 2 more answers

Evaluate the expression (-4+4i)(1+4i)(1+4i) and write the result in the form a+bi

allsm [11]

Answer:

Step-by-step explanation:

Since 2 of the 3 binomials are identical I would start the distribution there.

(1 + 4i)(1 + 4i) = $1+8i+16i^2$

I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:

1 + 8i + 16(-1) which simpifies to

1 + 8i - 16 which simplifies further to

-15 + 8i. Now we need to FOIL in the last binomial:

(-15 + 8i)(-4 + 4i) = $60-60i-32i+32i^2$

Combine like terms to get

$60-92i+32i^2$

Again make the substitution of i-squared = -1:

60 - 92i + 32(-1) which simplifies to

60 - 92i - 32 which simpifies, finally, to a solution of:

28 - 92i

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3 years ago