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2 years ago

Match each subtraction problem on the left with the equivalent simplified expression on the right.

Mathematics

1 answer:

Ahat [919]2 years ago

4 0

Answer:

A-3, B-4, C-1, D-2

Step-by-step explanation:

5x-(3x+1)
Expand, 5x-3x-1
Combine like terms, 2x-1

5x-(-3x-1)
Expand, 5x+3x+1
Combine like terms, 8x+1

-5x-(3x+1)
Expand, -5x-3x-1
Combine like terms, -8x-1

-5x-(-3x-1)
Expand, -5x+3x+1
Combine like terms, -2x+1

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Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

3 years ago

I need help with some geometry work, there’s a pic x

avanturin [10]

Answer:

it is congruent by SAS axiom

So go with option A

Congruent -SAS

Hope it will help :)❤

3 0

3 years ago

If UV ≅ UX and WX=23, what is VW?<br><br> VW =

expeople1 [14]

Answer: VW= 23

Step-by-step explanation:

Because UV = UX the bisector has to split it evenly therefor WX = VW

So the answer is 23! Does this make sense?

7 0

2 years ago

The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

3 years ago

a family has five children The probability of having a gil is 1/2 What is the probability of having exactly 2 girls out of five

My name is Ann [436]

P(no girls in five births) = p(five boys) = (1/2)^5 = 1/32 = 0.0313

4 0

3 years ago