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Orlov [11]
3 years ago
15

What is the equation of the trend line? K = __ J + __

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

-2 and 24

Step-by-step explanation:

the trend line is linear,

let the unknowns be A and B

hence the equation becomes

K = AJ + B

from the graph we can see the following:

when J = 0, K = 24 (substitute this into the equation)

K = AJ + B

24 = A(0) + B

24 =  B  (Answer)

Also notice that when K = 0, J = 12

together with our previous finding that B = 24, the equation becomes:

K = AJ + B

0 = A(12) + 24

12A = -24

A = -24 / 12

A = -2  (answer)

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Mark walks 1/2 miles in 3/4 of an hour what is the unit rate per hours
lana [24]

Answer:

unit \: rate =  \frac{distance}{time}  \\

substitute:

unit \: rate =  \frac{( \frac{1}{2} )}{ ( \frac{3}{4}) }  \\  \\  =  \frac{1}{2}  \div  \frac{3}{4}  \\  \\  =  \frac{1}{2}  \times  \frac{4}{3}  \\  \\  =  \frac{4}{6}  \\  \\  = { \underline{ \:  \:  \frac{2}{3} \:  \: miles \: per \: hour \:  \:  }}

8 0
2 years ago
S the following statement always, sometimes, or never true?
liubo4ka [24]

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
  • The two angles could be right angles or one of them is acute and the other is obtuse
  • The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
The given amount converted to units?
Alisiya [41]
120 seconds is 2 * 60s
60s is 1 minute, so 2*60s = 2 minutes
4 0
3 years ago
Help me on number 12 13 14 and 15
aleksandr82 [10.1K]

12. 1.625 [terminating]; 13. 0.83 [bar notation over 3 (repeating)]; 14. 900 cm = 9 m; 15. 0.23 cm = 2.3 mm

Repeating decimals are parts of decimals that have repetitive digits; terminating decimals are decimals whose digits end.

Whether you are using Metric or Imperial, you have to determine whether you are going from a small unit to a big unit or vice versa. Then perform your operation. So, in exercise 14, the smaller unit is centimeters, so you would be going from big to small. Exercise 15 has you going from small to big.

There are centimeters in one meter, so multiply 9 by to get 900 centimeters.

There are 10 millimeters in one centimeter, so divide 2.3 by 10 simply by moving the decimal point ONCE to the left [Power of 10].

small to BIG → Division

BIG to small → Multiplication

I am joyous to assist you anytime.

5 0
3 years ago
Please help with this
KonstantinChe [14]
I believe the answer is 32
4 0
3 years ago
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