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3 years ago

You can find the distance between two points on a number line by using the Pythagorean theorem.

1 answer:

4 0

The distance formula is based on the Pythagorean Theorem. When you have 2 points the distance is the hypotenuse of a right triangle. So the change in x and the change in y form the legs, thus Pythagorean Theorem can solve for the distance

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Solve for x. 2/3(3x−4)+3x=5/6

BartSMP [9]

Answer:

2/3 ( 3x - 4 ) + 3x = 5/6

2x - 8/3 + 3x = 5/6

5x - 8/3 = 5/6

6(5x -8/3) = 6x5/6

30x - 16 = 5

 +16 +16

30x = 21

x = 21/30

x = 0.7

Step-by-step explanation:

distribute the bracket by 2/3
combine like-terms
multiply both sides by 6 (lcm of 3 and 6)
add 16 to both sides
divide both sides by 30 to get x

3 0

3 years ago

Which is the graph of f(x)=3(2/3)x?

anyanavicka [17]

we have that

$f(x)=3(\frac{2}{3})^{x}$

Step 1

Find the y-intercept

we know that

The y-intercept is the value of f(x) when the value of x is equal to zero

For $x=0$

$f(0)=3(\frac{2}{3})^{0}=3$

Point $A(0,3)$

Step 2

Find the value of f(x) for $x=1$

$f(1)=3(\frac{2}{3})^{1}=2$

Point $B(1,2)$

Step 3

Graph the point A and B to find the solution

therefore

the answer in the attached figure

3 0

3 years ago

Read 2 more answers

A pair of skis were $275 but were on sale for $195. What percent reduction is this?

Stels [109]

$275*x%=195

It will be a 29% reduction. But it will not have the exact cost of $195

7 0

4 years ago

The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

enyata [817]

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3$

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

4 0

3 years ago

Help pls !!!!!!! WILL GIVE BRAINLEST

aalyn [17]

The solution of the inequality y + 15 < 3 is y < - 12

<h3>Inequality</h3>

y + 15 < 3

Therefore,

y + 15 < 3

Subtract 15 from both sides

y + 15 - 15 < 3 - 15

y < 3 -15

Therefore,

y < -12

learn more on inequality here: brainly.com/question/19491153?referrer=searchResults

6 0

3 years ago

Read 2 more answers