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andriy [413]
3 years ago
8

Write the equation of the line that goes through (9/2,1) and (-7/2,7) then graph.

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Sorry for the confusion, redoing my answer for you!

Using the points (9/2,1), (-7/2,7)

m=y2−y1 over x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=7−(1)  over  −72−(92)

simplify

m=−3/4

Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)

y−(1)=−3/4⋅(x−(9/2))

Rewrite in y=mx+b

solve for y

y=−3x/4+35/8

ill use desmos to graph (y=−3x/4+35/8)

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Angle of 74° with the ground if the foot of the latter 6.5 feet from the wall, how high on the wall is the ladder?
Pie
Tanα=h/x

h=xtanα, we are told that x=6.5ft and α=74° so

h=6.5tan74 ft

h≈22.67 ft  (to nearest hundredth of a foot)
7 0
3 years ago
Simplify x+2x –8+3x+1 –2x.
emmainna [20.7K]

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

8 0
3 years ago
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx
Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0
3 years ago
14 field goal attempts 12 goals made to what is the success rate
Illusion [34]

Answer:

86%

Step-by-step explanation:

Divide the number of goals made (12) by the number of attempts (14).

12/14 = .857. Round to the nearest hundredth and convert the decimal to a percent.

5 0
3 years ago
What's the final price?<br> sweater: $14.99<br> discount: 12%<br> tax: 6.25%
bogdanovich [222]
14.99*.12=1.80
14.99-1.8=13.19
13.19*.0625=.94
13.19+.94=14.13
final price 14.13
6 0
3 years ago
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