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yulyashka [42]
2 years ago
14

!!please, please help me!!

Mathematics
1 answer:
grigory [225]2 years ago
6 0

Answer:

Length: 12

Width: 2\sqrt{10\\}

Area: 24\sqrt{10\\}

Step-by-step explanation:

We first find the points of C and D to find the length.

C: (-4,-5)

D: (2,-3)

The distance is 2\sqrt{10\\.

Now for the height.

A: (2,9)

D: (2,-3)

The distance is 12.

Area: 2\sqrt{10\\×12 = 24\sqrt{10\\}

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Kevin had a total of $320 to spend while shopping. He had spent $156 on video games. He wants to buy caps that are on sale for $
zloy xaker [14]

Maximum number of caps that Kevin can buy is 10.

Solution:

Total money for shopping = $320

Amount spent for video game = $156

Remaining amount that Kevin had = $320 – $156

                                                         = $164

Cost of each cap including tax = $15

$\text{Number of caps can buy }=\frac{\text { Remaining amount that Kevin had }}{\text { cost of each cap }}$

                                       $=\frac{164}{15}

                                      $=10\frac{14}{15}

Maximum number of caps that Kevin can buy is 10.

8 0
3 years ago
A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
Find the 92nd term of the arithmetic sequence 11, 19, 27,
fgiga [73]

Answer:

739

Step-by-step explanation:

a sub 92 = 11 + (92 - 1) * 8

a sub 92 = 11 + 728

a sub 92 = 739

5 0
3 years ago
A system of equations is graphed on the coordinate plane.
8_murik_8 [283]

Answer:

  • The solution is (x, y) = (-2, 0)
  • A graph is attached

Step-by-step explanation:

The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).

The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).

Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.

7 0
3 years ago
Read 2 more answers
HELP PLEASE!! I WILL GIVE YOU THE BRAINLIEST!!
Maksim231197 [3]

Answer:

Feb. 2 marks Groundhog Day, when traditionally a Pennsylvania groundhog known as Punxsutawney Phil makes an appearance above ground, near the cozy tree stump he calls home. Legend has it that if he sees his shadow, North America is in for six more weeks of winter weather.

Step-by-step explanation:

6 0
3 years ago
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