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stiv31 [10]
3 years ago
5

What is the solution to the system of equations? 5x + 4y = 8 x - 2y = 10

Mathematics
1 answer:
romanna [79]3 years ago
4 0
Double the second equation (multiply by 2)...
2(x-2y=10)
2x-4y=20

Bring in the second equation and add the equations:
(2x-4y=20)
+ (5x+4y=8)

7x=28
x=4

Plug in x into one of the equations to get y...
(4)-2y=10
-2y=6
y=-3

(6,-3)

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What is the equation of a circle with center (1,-4) and radius 2?
mihalych1998 [28]

Step-by-step explanation:

Centre of circle(h,k)=(1,-4)

radius of the circle(r)=2

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

(x-1)^2+(y+4)^2=2^2

x^2-2x+1+y^2+8y+16=4

x^2+y^2-2x+8y+13=0 is the req.equation of the circle.

Give brainliest

8 0
3 years ago
Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?​
Ahat [919]

Answer:

\frac{3}{2} square feet

Step-by-step explanation:

The dimensions of the photo is 4/5 by 1 7/8 of a foot.

But,

1 7/8 = \frac{15}{8} feet

So that,

length of the photo = \frac{15}{8} feet

width of the photo = \frac{4}{5} feet

The area of the photo = length x width

                                     = \frac{15}{8} x \frac{4}{5}

                                     = \frac{60}{40}

                                     = \frac{3}{2}

Area of the painted photo is \frac{3}{2} square feet.

8 0
3 years ago
Can I get help finding the value of m and n
Marina86 [1]

9514 1404 393

Answer:

  m = 35

  n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  n° = 180° -70°

  n = 110

Opposite angles in a parallelogram are congruent.

  2m° = 70°

  m = 35 . . . . . . divide by 2°

4 0
3 years ago
PLZ I NEED HELP AND I DON"T KNOW THE ANSWER!!
ddd [48]

Answer:

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

1)Cost of 1 ton = $ 2000

Cost of 2 ton = $3500

Cost of 3 ton = $5000

$ 1500 increase for each of ton of sugar being transported.

2) (1 , 2000) ; (2 , 3500)

Slope =

= 1500

6 0
3 years ago
Which of the following best describes the solution to the equation below?<br> 3(7x+9)=4(8x+10)
Gwar [14]
Solve equations!!!!!!!!!!!!!!!

5 0
3 years ago
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