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3 years ago

If segment AB segment BC and m<3 =36, find m<4

Mathematics

1 answer:

shepuryov [24]3 years ago

5 0

What are the measures of line segments AB and BC?

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Suppose two adjacent endpoint of a rotated square are located at (-4, -6) and (5, -1) on the coordinates axes. What is the lengt

Rufina [12.5K]

To find the length of the side of the square, we just need to find the distance between the two endpoints. This problem can quickly be solved by using the distance formula, but for those who are not familiar with it, we can simply solve it by analyzing a triangle.

Take a look at the diagram below. We are interested in x. To find this we have created a right triangle. The horizontal component is just the distance between the x coordinates of the two points while the vertical component is the distance between the y coordinates.

The horizontal component is 9 and the vertical component is 5. We can now get x by using the pythagorean theorem:

$x^{2}= 9^{2} + 5^{2} =81+25=106$
$x= \sqrt{106}$ which is approximately equal to 10.30 units.

ANSWER: The length of the side of the square measures 10.30 units.

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3 years ago

If f(x)=2x+9, then f(-1)= _____

Pavlova-9 [17]

Answer:

f(-1) = 7

Step-by-step explanation:

Put -1 where x is and do the arithmetic.

f(-1) = 2(-1) +9 = 7

4 0

4 years ago

Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determi

Stella [2.4K]

The iterative rule for each sequence in the table will be to use the slope-intercept form of the equation of a line y=mx+b.

<h3>How to depict the information?</h3>

In this situation, x is the week, and y is the amount paid. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0.

The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1.

After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week.

Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.

The calculations to convince your friend that both your rules work are:

m=(y2-y1)/(x2-x1)

(x1,y1)=(1,200)

(x2,y2)=(2,250)

m=(250-200)/(2-1)

=50/1 =50

y=50x+b

200=50(1)+b

200=50+b

b=200-50

b=150

Learn more about tables on:

brainly.com/question/3632175

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5 0

2 years ago

Question:

harkovskaia [24]

Answer:x2+2x−15

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Distance between the two points rounding to the nearest tenth (-9,3) and (-7-,4)

Gala2k [10]

Im sorry , the second point , do u mean its a -4

7 0

3 years ago