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vladimir1956 [14]
3 years ago
8

Solve for x. 5x – 14 = 8x + 4 10/3 6 - 10/3 -6 9

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

x = -6

Step-by-step explanation: I hope I helped! :)

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A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?
Papessa [141]
985-35=950, 950÷2=475, 475+35=510, 510 and 475
3 0
3 years ago
Read 2 more answers
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
4 years ago
Write the equation of a line that passes through the points (−3, 7) and (3, 3)
Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of y -a = m(x -b) where (b,a) is the coordinates of a point that's on the line and m is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose (-3,7) where a = 7 and b = -3

y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)

The next thing we have to do now is finding the slope, m, where it's equal to \frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\. I'll make (-3,7) point 1 and (3,3) point 2.

m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}

Now let's plug that to our equation.

y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5

<h3>Answer:</h3>

y = -\frac{2}{3}x +5\\ is your equation.

3 0
3 years ago
12 things that has energy
Lapatulllka [165]

Answer: Kinetic Energy Potential Energy Chemical Energy Elastic Energy Gravitational Energy Magnetic Energy Nuclear Energy  Light Energy Radiant Energy Sound Energy Thermal Energy  Mechanical Energy Electrical Energy

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The masses mi are located at the points pi. find the moments mx and my and the center of mass of the system. m1 = 2, m2 = 5, m3
creativ13 [48]
Most graphing calculators will do weighted averages pretty easily. It is mostly a matter of data entry.

mx = -2
my = 10
(x, y) = (mx, my)/10 = (-0.2, 1)

6 0
3 years ago
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