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3 years ago

What is the value of the expression k – 14 when k = –17?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

I hope this helps you

-14+?= -17

?= -17+14

?= -3

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Paladinen [302]

9514 1404 393

Answer:

3π units

Step-by-step explanation:

The full circumference of a circle with radius 2 is ...

C = 2πr

C = 2π(2) = 4π

The arc shown is 3/4 of the full circle circumference so is ...

3/4C = (3/4)(4π) = 3π . . . units

8 0

2 years ago

Find g of f for f=7x+5 and g(x)=5x^2+4x-3

madreJ [45]

Basically (g of f)x=(f(g(x)) so
g of f=f(g(x))=7(5x^2+4x-3)+5
distribute
f(g(x))=35x^2+28x-21+5=35x^2+28x-16

g of f=35x^2+28x-16

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2 years ago

A science class has 5 girls and 7 boys in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly sel

Elodia [21]

P(the students she selects are both boys)=7/12×5/10=35/120=7/24

6 0

2 years ago

What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is $y=\frac{-2 x}{3}+\frac{-2}{3}$

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

$\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}$

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

$\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}$

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also $m=-\frac{2}{3}$

Equation of line passing through $(x_1 , y_1)$ and having slope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=2 \text { and } y_{1}=-2$

Substituting the values in equation of line we get

$(y-(-2))=-\frac{2}{3}(x-2)$

$\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}$

$y=\frac{-2 x}{3}+\frac{-2}{3}$

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as $y=\frac{-2 x}{3}+\frac{-2}{3}$

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3 years ago

How do you sketch and label a trapezoid that has an area of 100 cm2

kirill115 [55]

Answer:

if you want to sketch the trapezoid you will also need other dimensions like height and the length of the parallel sides

8 0

2 years ago

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