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4 years ago

Use the figure below to answer questions 10-11.

Mathematics

1 answer:

Anton [14]4 years ago

5 0

The two marked angles are complementary angles. This means that the angles are equal.

Hence, X + 1 = 2X - 3.

By rearranging, X = 4.

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In a diving meet, you score 8.4 and 7.88.<br><br> What is your total score?

JulijaS [17]

Answer: 16.28?

Step-by-step explanation:

4 0

3 years ago

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

3. A car starts a trip with 20 gallons of gas in its tank. The car traveled at an average

Helga [31]

Answer:

32.5%

Step-by-step explanation:

first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is

65*3=195

During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank

195/30=6.5

6.5 gallons is 32.5% of 20 gallons

6.5/20=0.325

0.325 * 100 = 32.5%

3 0

3 years ago

Line Q is parallel to the line represented by the equation 5x – 4y = 10. Line Q passes through the point (12, –7). Which linear

marysya [2.9K]

A, plug in 12 for x and -7 for y to get you’re answer

3 0

3 years ago

an elevator can carry 800 of weight. A football player weighting 280 pounds gets on the elevator with a student. Write and solve

Nesterboy [21]

Answer:

$425\geq x$

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x

8 0

3 years ago