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3 years ago

Which ordered pair is the solution of the system graphed?

Mathematics

1 answer:

vredina [299]3 years ago

8 0

The answer is actually D hahaha, if you look on the graph they intersect at that coordinate point. You can solve it algebraically by setting the two equations equal to each other
x-8=-x+2
2x-10=0
x=5
plug x back into original equations
y=(5)-8
y=-3

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Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le

Andrews [41]

Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15

Answer: the length of the common external tangent is 15.

3 0

3 years ago

Create a matrix that is equal to F+G. The first matrix below is named F and the second matrix below is named G. Name the new mat

likoan [24]

F+G:

$F+G=\begin{bmatrix}{-1.8} & {-8.6} & {} \\ {2.85} & {-1.4} & {} \\ {-1.8} & {5.1} & {}\end{bmatrix}+\begin{bmatrix}{1.32} & {-1.9} & {} \\ {2.25} & {0.0} & {} \\ {-6.2} & {1.4} & {}\end{bmatrix}$

Then, add the elements that occupy the same position:

$H=\begin{bmatrix}{-1.8+1.32} & {-8.6+(-1.9)} & {} \\ {2.85+2.25} & {-1.4+0.0} & {} \\ {-1.8+(-6.2)} & {5.1+1.4} & {}\end{bmatrix}$

Solve

$H=\begin{bmatrix}{-0.48} & {-10.5} & {} \\ {5.1} & {-1.4} & {} \\ {-8} & {6.5} & {}\end{bmatrix}$

So, we find the element at address h31:

$H=\begin{bmatrix}{h11} & {h12} & {} \\ {h21} & {h22} & {} \\ {h31} & {h32} & {}\end{bmatrix}$

In this case, position h31 is - 8.0

8 0

1 year ago

Solve the system using elimination: Help me please 12x - 8y = -12 6x + 4y = -30

LUCKY_DIMON [66]

12x - 8y = -12

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

= 24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

-36 - 8y = -12

Add 36 to each side:

-8y = 24

Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

4 0

3 years ago

Helllpppppp pleaseee i will mark you brillllllll

frez [133]

Answer:

the answer of the question is k = 176

6 0

2 years ago

Read 2 more answers

Need help on 5. 6. And 7. 7.c is (6+x)-8 7.d is 8-(6+x)

enyata [817]

#7 is A
For # 5 & 6 is there a multiplication sign between the numbers or is supposed to be a power or something else?

7 0

3 years ago