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Dafna1 [17]
2 years ago
11

The system when solved is:

Mathematics
1 answer:
Karolina [17]2 years ago
3 0

Answer:

1,-4

its the right answer

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Alan and his classmates performed a linear regression analysis on the data set shown below and found that the line of best fit t
stealth61 [152]

Answer:

C. y=\frac{4}{5}x+7

Step-by-step explanation:

Alan and his classmates found that the line of best fit through the data had the equation y=-\frac{5}{4}x+18

The slope of this line is m=-\frac{5}{4}

If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.

The slopes of perpendicular lines are negative reciprocals of each other,

Hence that line must have slope \frac{-1}{-\frac{5}{4}} =\frac{4}{5}

Therefore we look for a line whose slope is \frac{4}{5} from the given options.

That line is the third option y=\frac{4}{5}x+7

5 0
3 years ago
According to the scale on a map, 1 inch on the map = 15 miles. How many miles are represented by 2.5 inches on the map?
Artyom0805 [142]
2.5 times 15 equals 37.5 miles
7 0
2 years ago
NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2
Ostrovityanka [42]

Answer:

x = B. 18 ROOT 2/ROOT 3

Step-by-step explanation:

There are two Triangles in the diagram above.

Step 1

We would solve for Triangle A First

Using Trigonometric function Cosine

cos θ = adjacent /hypotenuse

θ = 30°

Adjacent = 9 units

Hypotenuse = unknown

cos 30= 9/ Hypothenuse

Cross Multiply

cos 30 × Hypotenuse = 9

Hypotenuse = 9 / cos 30

cos 30 in surd form = √3/2

Hypotenuse = 9/√3/2

Hypotenuse = 9 × 2/√3

= 18/√3 units

Step 2

We would solve for the upper triangle = Triangle B

We are looking for x

θ = 45°

For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B

Therefore ,

Hypotenuse for Triangle A = Adjacent side for Triangle B

θ = 45°

Adjacent = 18/√3 units

Hypotenuse = x = unknown

We would solve for this using Trigonometric function cosine

cos 45 = 18/√3 units / Hypothenuse

Cross Multiply

cos 45 × Hypotenuse = 18/√3 units

Hypotenuse = 18/√3 units / cos 45

cos 45 in surd form = 1/√2

Subtituting, we have

Hypotenuse (x) = 18/√3 units / 1/√2

Hypotenuse (x) = 18/√3 units ×√2/1

= 18× √2/ √3 units

= 18 √2/√3 units

Therefore x = Option B. 18 ROOT 2/ROOT 3

3 0
2 years ago
Square tablecloth has a perimeter of 12 feet what is the area of the tablecloth
Marizza181 [45]
To find the area of a square, do base times height.

If it is a square then all the sides are equal. Take 12 and divide it by 4 to find out that each side is 4 feet.

Base-4
Height-4

(4)(4)=16

6 0
2 years ago
On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?
NemiM [27]

Answer:

The football team drank a total of 75 gallons of water.

Step-by-step explanation:

Half of 50 gallons is 25 gallons. 25 gallons + 50 gallons = 75 gallons.

7 0
2 years ago
Read 2 more answers
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