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GrogVix [38]
2 years ago
12

Write a equation of a line through (4, 6) and (-10, 2)

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer:

y=2/7x+34/7

Step-by-step explanation:

the slope of this line is 2/7.

y=2/7x+?

? is the y-intercept.

Looking at the line that we have graphed, we can see that it intersects at  34/7 y.

the equation for the line that goes through 4,6 and -10, 2 is

y=2/7x + 34/7

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A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minite. Approximately how far will a passenger travel during a
UkoKoshka [18]
Hello!

First of all we will need to find the circumference, as it is the distance around the wheel. We will use 3.14 for pi.

42(3.14)=131.88

Now we multiply by three to see how far they go in a minute.

131.88(3)=395.64

Now we multiply by 5 to see five minutes.

395.64(5)=1974.2

A passenger will travel approximately 1978.2 feet in 5 minutes.

I hope this helps!
5 0
3 years ago
Read 2 more answers
In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle<em> F.</em>

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

\tan \theta=\frac{opposite}{adjacent}

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}

Hence, the value of angle <em>F</em> is 29 degree.

3 0
1 year ago
Find the area and perimeter of the figure. I need help on this
kotykmax [81]

Answer:

area=38cm²

perimeter=34cm

Step-by-step explanation:

I found three shapes and got

4·2=8

3·3=9

9·3=21

8+9+21=38cm²

5+6+9+4+3+2+2+3=34

6 0
3 years ago
Read 2 more answers
Five years ago Janeta age was one_fifth of her mother'sage .Now she is one_third of her mother's age.Find their present ages?
PilotLPTM [1.2K]

Answer:

J - Janeta's age  M - mother's age

A) (J-5) = .2 * (M-5)

B) J = (1/3) * M

Subtracting 5 from both sides of B:

B) J -5 = (1/3)M -5

then we substitute the right side of this into the left side of A and we get

(1/3)M -5 = .2 M -1

.333333333333M -5 = .2M -1

.1111111111111111111M = 4

Mother's Age = 36

Janeta's Age = 12

Step-by-step explanation:

5 0
3 years ago
George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

8 0
3 years ago
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