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3 years ago

Solve the system by the substitution method. x^2+y^2=61 x-y=1

Mathematics

1 answer:

oee [108]3 years ago

8 0

Answer:

x = -3

y= -3

point form ( -3, -3)

Step-by-step explanation:

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Evaluate the given expression if x = 25, y = 10, w = 11, and z = 18. (see the image)

hammer [34]

Answer:

Step-by-step explanation:

So we have the expression:

$(x-y)^2+10wz$

And we want to evaluate it when x=25, y=10, w=11, and z=18.

So, substitute these values for the variables:

$=(25-10)^2+10(11)(18)$

First, subtract within the parentheses:

$=(15)^2+10(11)(18)$

Square 15:

$=225+10(11)(18)$

Now, multiply the terms on the right. 10 times 11 is 110:

$=225+110(18)$

Multiply:

$=225+1980$

Finally, add:

$=2205$

So, our answer is D.

And we're done!

8 0

2 years ago

Read 2 more answers

I need please help. thank you

Travka [436]

15. She bought:

3 jeans, $20 each

1 pants, $18

You find the total: 3(20) + 1(18) = $78 then you apply the discount

Since this is between 50-100, you use the 38% discount (decimal form: 0.38)

38% is being subtracted from your total, so you can do this:

100% - 38% = 62% This is your total after the discount

78(0.62) = 48.36 Your answer is C

16. D Income is the $ you make from your job

17. A Budgeting helps you organize and limit your spending and meet financial goals

18. C Liabilities impacts you negatively, since you have debts to pay off

19. A

7 0

2 years ago

BRAINLIEST AND STARS

IrinaK [193]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

$x^{2} + y^{2}+8x-6y+21=0$

The general equation of the circle is:

$x^{2} + y^{2}+2gx+2fy+c=0$

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

$radius=\sqrt{g^{2} +f^{2} -c }$

Using these values of the given circle, we get:

$radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2$

Therefore, the length of radius of the given circle is 2.

3 0

2 years ago

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Ivanshal [37]

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: $a^2+b^2=c^2$

C is always the largest number

a times a + b times b = c times c

4 0

2 years ago