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Burka [1]
3 years ago
11

I need help with all of this

Mathematics
1 answer:
Drupady [299]3 years ago
4 0
1. 7x + 9 = 48
7x = 58 - 9
7x = 49
X = 7
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Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
lilavasa [31]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 2 &,& 3~) 
%  (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies  +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}
7 0
3 years ago
D) (K<br> If f(x) = x3 and g(x) = 2x + 7, what is g(x)<br> when x = 2?
nadya68 [22]

Answer:

11

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

3 0
3 years ago
What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the dir
koban [17]

The vertical shift of the function f(x) = 9|x + 1| + 2 is 2 units up

The absolute function is given as:

f(x) = 9|x + 1| + 2

An absolute function is represented as:

f(x) = a|x - h| + k

Where k represents the vertical shift.

By comparison, the value of k is:

k = 2

This means that the vertical shift is 2 units

Hence, the vertical shift of the function f(x) = 9|x + 1| + 2 is 2 units up

Read more about absolute value function at:

brainly.com/question/25971887

7 0
3 years ago
Slope: 5, y-intercept: 8
Stolb23 [73]
Slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercpet

Data:
m=5
b=8

the equation of the line will be:
y=5x+8

Answer:  y=5x+8
3 0
4 years ago
Read 2 more answers
Is this a function?
saul85 [17]
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences
6 0
3 years ago
Read 2 more answers
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