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Veronika [31]
2 years ago
9

Solve the system of linear equations by using the elimination method: 4x+ y = 36 8x- y = 60

Mathematics
1 answer:
katrin [286]2 years ago
8 0

Answer:

(8,4)

Step-by-step explanation:

y and -y cancels out leaving you with "12x=96"

that simplifies to "x=8"

Then you substitute 8 into the "x" from either equation and y should equal 4

You might be interested in
Suppose that MNO is isosceles with base NM. Suppose also that =m∠N+4x7° and =m∠M+2x29°. Find the degree measure of each angle in
chubhunter [2.5K]

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

8 0
3 years ago
Write the standard equation for the hyperbola with the following conditions: vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (
STALIN [3.7K]
Hello,

Vertices are on a line parallele at ox (y=-3)

The hyperbola is horizontal.

Equation is (x-h)²/a²- (y-k)²/b²=1

Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and  2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)

Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6

c²=a²+b²==>b²=36-4²=20

Equation is:
\boxed{ \dfrac{(x-2)^2}{16} - \dfrac{(y+3)^2}{20} =1}





8 0
3 years ago
Write the expression in simplest form.<br><br> (-11/2 x + 3) - 2 (- 11/4 x - 5/2) = ___
Yuki888 [10]
I think the answer is 8, not sure though
3 0
3 years ago
A box is filled with thirty six plates. How many boxes can be filled with a thousand plates?
Yuki888 [10]
Hello there ^ _ ^


We know that 36 plates filled 1 box
if we have 1000 plates, how many box it would fill.

All we have to do is divide 1000 by 36 to find the answer.

1000/ 36 = 27.77777 or you can just say 28


I hope this help!
4 0
3 years ago
Read 2 more answers
How do you solve f(x) = 800(1.09)3x
natta225 [31]

Answer:

2616x

Step-by-step explanation:

8 0
3 years ago
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