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kykrilka [37]
3 years ago
7

Solve 2x+y=10 4x+7=40

Mathematics
2 answers:
natita [175]3 years ago
6 0
2x+y=10
4x+7y=40
use the elimination property.
1st, -2(2x+y=10) to get :
-4x-2y=-20 
4x+7y=40
5y=20 
y=4
then plug back to one of the equations for ex: 4x+7(4)=40 then solve it
and x = 3 so the point is (3,4)


WITCHER [35]3 years ago
5 0
2x + y = 10 is y = -2x + 10
4x + 7 = 40
     -7       -7
4x = 33
4      4
x = 8.25 
y = -2(8.25) + 10 
y = -6.5 and x = 8.25

 Hope this helps :)
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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
Please help me
Kruka [31]

y = x^2 -4x

x = -1

y = (-1)^2 - 4×-1=1+4 = 5

x= 0

y = (0)^2 - 4×0 = 0

x = 1

y = 1^2 -4×1 = 1-4 = -3

x = 2

y = 2^2 -4×2 = 4-8 = -4

x=3

y = 3^2 - 4×3 = 9-12 = -3

x = 4

y = 4^2 - 4×4 = 16 - 16 = 0

now 2nd equation

y = 2x^2 + x

x = -2

y = 2 (-2)^2 + (-2)= 8-2 = 6

x = -1

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

x = 0

y = 2(0)^2 +0 = 0

x = 1

y = 2 (1)^2 + 1 = 3

x = 2

y = 2(2)^2+2= 8 + 2 = 10

6 0
3 years ago
Simplify by combining like terms: 15x +2 - 7 - 5x​
Step2247 [10]

Answer:

10x-5

Step-by-step explanation:

You subtract 15x-5=10x. Then you do -7+2. The 7 is negative . So it would be -7 plus two. So it would equal -5. So it's 10x-5

5 0
3 years ago
Pls help me with this problem
Luden [163]

Answer:

A is going to be 2.80

B is going to be 0.7

C points (1,0.70)

D he is buying four pounds of flour because you always put the x at the bottom and y at the top

E it will be 6.3

Step-by-step explanation:

Hope this Helped

4 0
2 years ago
Read 2 more answers
What is 6/10 rounded to the nearest half
belka [17]

6/10 rounding to the nearest half would be 1, not 0.

Reason for this: Here is a number line to help you!

|----|----|

Left line = 0

Middle line = 1/2

Right line = 1

Here is another rule!

0/10, 1/10, 2/10, 3/10, 4/10 = rounded to the nearest half would be 0

5/10, 6/10, 7/10, 8/10, 9/10, 10/10 = rounded to the nearest half would be 1.

So 6/10 rounded to the nearest half is 1.

Hope this helped!

Plz mark brainliest!

5 0
3 years ago
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