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3 years ago

Finish solving the system of equations -9.5x -2.5y = -4.3 and 7x + 2.5y = 0.8 using the linear combination method.

Mathematics

1 answer:

muminat3 years ago

4 0

Answer:

y= -3.6

Step-by-step explanation:

-9.5(1.4)-2.5y=-4.3

-13.3-2.5y=-4.3

-9=2.5y

y=-3.6

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The equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?

trapecia [35]

Answer:

The radius is 10

Step-by-step explanation:

Given

$x^2 + y^2 + 21 = 40 + 18y.$

Required

The radius

Rewrite as:

$x^2 + y^2 - 18y = 40-21$

Subtract 81 from both sides

$x^2 + y^2 - 18y +81= 40-21+81$

Expand

$x^2 + y^2 - 9y - 9y +81= 40-21+81$

Factorize

$x^2 + y( y- 9) - 9(y -9)= 40-21+81$

Factor out y - 9

$x^2 + (y- 9) (y -9)= 40-21+81$

Express as squares

$x^2 + (y- 9)^2= 100$

$x^2 + (y- 9)= 10^2$

The equation of a circle is:

$(x - a)^2 + (y- b)= r^2$

By comparison:

$r^2=10^2$

$r = 10$

6 0

3 years ago

What is the mode of the following numbers? 4, 9, 6, 3, 4, 2

KengaRu [80]

Answer:

Step-by-step explanation:

Mode is the number that appears most often

4 is the only number that appears more than once so it is the mode

6 0

3 years ago

Read 2 more answers

I need help and fast!! Plz don't just answer to get points!!

Juliette [100K]

The equation would be h=1m+42 and the answer is 78 I think

5 0

2 years ago

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.

bearhunter [10]

Answer:

-29/4 or -7.25

Explanation:

1/2 = 2/4

2/2 · (-21/2) - (-13/4)

= -42/4 + 13/4 (subtracting a negative = addition)

= -29/4

4 0

2 years ago

Find the radius of a circle in which an inscribed square has a side of 8 inches.

tatiyna

Answer:

r = 4

Step-by-step explanation:

side of square is the same as the diameter of the circle

if diameter is 8 then radius is 4

4 0

3 years ago