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artcher [175]
2 years ago
9

A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the ya

rd.
>The area is in square meters<

Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _


1. Complete the table with the missing values
Mathematics
1 answer:
Kryger [21]2 years ago
5 0
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think
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Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the
Sindrei [870]

Answer:

y=-\frac{3}{4}x+36

Step-by-step explanation:

Givens

  • The railing will begin at 36 inches height.
  • The slant decreases 9 inches for every 12 horizontal inches.

According to the problem, the slant is

m=-\frac{9}{12}=-\frac{3}{4}

The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".

If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.

Therefore, the linear function that models this problem is

y=-\frac{3}{4}x+36

So, the answer is the first choice.

3 0
2 years ago
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The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va
d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

d_{min} = 91.4, d_{max} = 94.5

d=\frac{d_{min} + d_{max}}{2}

d=\frac{91.4 + 94.5}{2}

d=92.95

d_{sol}=\frac{d_{max} - d_{min}}{2}

d_{sol}=\frac{94.5 - 91.4}{2}

d_{sol} =1.55

Absolute Value Equation:

|x - d| = d_{sol}

|x - 92.95| = 1.55

5 0
2 years ago
The cost of tyre has increased by 20% to £78. work out the original price
tiny-mole [99]
The original price was 65
3 0
2 years ago
The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′
sveticcg [70]

ANSWER


The correct  answer is B


<u>EXPLANATION</u>

If we analyse the coordinates carefully, you realize there is a mapping of

(x,y)\rightarrow(-x,y)

This is a reflection in the y-axis.


Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.



5 0
2 years ago
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Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________
lora16 [44]

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

8 0
2 years ago
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