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3 years ago

Explain how you could use the distributive property and mental math to find 5 x 198

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

Well you would do 5x8 first and then t hats 40 so put 0 in the ones place and put 4 on top of 9, 5x9 is 45+4=49 so put 9 in the ones place and 4 on top of 1 so 5x1=5 5+4=9. The awsner is 990

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Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

Which equation represents a line parallel to y - 2x=8

patriot [66]

Answer: I cannot see the answer choices, so there is nothing to go by to answer this question.

Step-by-step explanation:

What I can tell you is that a line being parallel to another line would look like this: \\.

Two lines close to each other and that look identical are parallel.

Parallel lines never intersect each other, for that would make them perpendicular to each other.

In equation form, two lines can be found parallel to each other if they have the same slope. Often times they differ in y-intercepts, but they are still parallel.

7 0

3 years ago

Which inequality would result in the shaded solution on the unit circle to the right?

snow_tiger [21]

Answer:

B tan(x)<1

Step-by-step explanation:

edgenuity 2020

6 0

4 years ago

The average price of a home in a certain town was $74,000 in 2012, but home prices

xxTIMURxx [149]

Answer:

$47,360

Step-by-step explanation:

8 percent X 8years is equal to 64percent

74,000 X 64/100=47,360 dollars

8 0

3 years ago

Solve the following equation.<br> 1/4 (f - 7) = 1 + 3f

Andreyy89

Answer:

f= -1

Hope this helps!

3 0

3 years ago

Read 2 more answers