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svetoff [14.1K]
3 years ago
8

Solve the system using elimination. Show your work! (6 pts) (7x + 10y = 11 (4x + 3y = -10

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

Answer:

x=-7

y=6

Step-by-step explanation:

7x+10y=11

4x+3y=-10

-3(7x+10y=11

10(4x+3y=-10

-21x-30y=-33

40x+30y=-100

19x = -133 (divide 19 on both sides)

x= -7

Now put the x in one of the original questions.

7(-7)+10y=11

-49+10y=11 (Add 49 to both sides)

10y=60 (Divide 10 on both sides)

y=6

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Answer: Probability is 0.00205 = 0.205%

Step-by-step explanation: P(rain) = 0.71, P(no rain) = 0.29.

P(no rain in 5 days)= 0.29·0.29·0.29·0.29·0.29= 0.00205

5 0
3 years ago
The sides of a rectangle are in the ratio 5 : 4. If the perimeter of the rectangle is 360 cm , find its area
djverab [1.8K]

Answer:

Step-by-step explanation:

let, the length is z

thus the ratio will be 5z : 4z

perimeter = 2 (a + b)

360 = 2 ( 5z + 4z )

180 = 9z

z = 20 cm

length = 100 cm and width = 80cm

area = length * width

area = 100*80

area = 8000cm²

4 0
2 years ago
Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Nat2105 [25]

Given :

Three points ,  P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}

Length of PQ :

PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3

Length of QR :

QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5} :

Length of RP :

RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6

Hence , this is the required solution .

4 0
3 years ago
What is the slope of the line shown in the graph below?
Flauer [41]
Slope = (y2-y1)/(x2-x1)
The points: (2,0) and (0,3)
(3-0)/(0-2) = 3/-2 = -3/2
The solution is -3/2
4 0
3 years ago
Read 2 more answers
WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
nevsk [136]

Answer:

b

Step-by-step explanation:

the answer is b

in the problem you can put the expression into a calculator and you will get the answer 3

in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3

I HOPE I HELPED A BIT<3

5 0
3 years ago
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