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3 years ago

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Mathematics

1 answer:

Alexus [3.1K]3 years ago

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lesya [120]

Answer:

Quadratic Binomial

Step-by-step explanation:

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3 years ago

Hanna walks 1 2/3 miles to school. After school she walks 1 1/2 mikes to work. How many miles does she walk before and after sch

allsm [11]

She walks 3.167 miles in total

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3 years ago

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In 6th grade, there are 110 students with and 75 students without braces. What is the ratio of students without braces?

My name is Ann [436]

The ratio of students is 75:110

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3 years ago

Identify the coefficients in the following expression.<br> -7x + 8y - 3z + y - 9

irina1246 [14]

The coefficients are -7, 8, -3, 1, and -9

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3 years ago

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What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

4 years ago