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3 years ago

Which student score changed the most? Student A -1 student B 0 student C -3 and student D : 2

Mathematics

1 answer:

Elis [28]3 years ago

3 0

Answer:

Step-by-step explanation:

Looking at the absolute values of the students,

C is the greatest. |-3| = 3

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solve for each variable i don’t need work shown just the answers please thank you very much i have 2 hours to get this done

ale4655 [162]

Answer:

$(a)$

$x = 18.5$

$y = 22.5$

$(b)$

$x = 10$

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

$7x - 19 + 3x +14 = 180$

Collect like terms

$7x + 3x = 180 - 14 + 19$

$10x = 185$

$x = 18.5$

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

$5y - 2 = 7x - 19$

Make 5y the subject

$5y = 7x - 19+2$

5y = 7x -17

Make y the subject

$y = \frac{1}{5} (7x - 17)$

Substitute $x = 18.5$

$y = \frac{1}{5} (7*18.5 - 17)$

$y = \frac{1}{5} (112.5)$

$y = 22.5$

Solving (b):

The triangle is right-angled.

So:

$5x + 3 + 2x + 17 + 90 = 180$

Collect Like Terms

$5x + 2x = 180 - 90 - 17-3$

$7x = 70$

$x = 10$

3 0

3 years ago

Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em> through (0, -1)</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

5 0

2 years ago

Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a rental car is $24.99 per day, and she will b

GarryVolchara [31]

Father

Step-by-step explanation:

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3 years ago

Shelby is decorating a rectangular ballroom ceiling with garland. Beginning in a corner, Shelby strings garland along length of

Liono4ka [1.6K]

Answer:

since the room is rectangular and has 4 sides

2 sides have the same length

18*2= 36m

80*2=160m

then add the sums...

the answer is 196 meters

Step-by-step explanation:

3 0

3 years ago

8 to the fourth power increased by 6 in an algebraic expression.

hodyreva [135]

Y = 8^4 + 6 is one way

3 0

3 years ago