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4 years ago

Solve the following system of equations

Mathematics

1 answer:

Mila [183]4 years ago

6 0

Answer:

y= 28/17

x= 57/17

Step-by-step explanation:

5x + 2y = 22

-2x + 6y = 3

(2)(5x + 2y = 22)→ 10x + 4y = 44

(5)(-2x + 6y = 3)→ -10x +30y = 15

Add this last eq → 34y=56 → y= 28/17

Replace this in any equation

-2x + 6(28/17) = 3 → x= - (54/17-168/17)/2 = 57/17

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Solve -2(5x – 3) = 41.

White raven [17]

Answer:

x = -3.5

Step-by-step explanation:

-2(5x – 3) = 41

-10x + 6 = 41

-10x + 6 - 6 = 41 - 6

-10x/-10 = 35/-10

x = -3.5

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3 years ago

PLEASE !! I need this question as fast as possible pleasee

steposvetlana [31]

X^2=-5x+8
x^2+5x-8=0
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3 years ago

write the equation of a line that is perpendicular to the given line and that passes through the given point. -3x - 6y = 17; (6,

Scorpion4ik [409]

Answer:

Y=2x-9

Step-by-step explanation:

5 0

3 years ago

Which sequences of transformations will map circle M onto circle N?

sergiy2304 [10]

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

$M = (5,5)$

$N = (5,-5)$

And the radius of circles are:

$r_M=2$

$r_N=3$

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

$(x,y) \to (x,-y)$

$M(5,5) \to M'(5,-5)$

At this point, M' and N now have the same center but different radius.

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

$k =\frac{r_N}{r_M}$

$k =\frac{3}{2}$

At this point, M has been completely mapped to N.

4 0

3 years ago

Find x 2 ^30 divided by 8^9= 2x

Zarrin [17]

$\huge\text{Hey there!}$

$\mathsf{\dfrac{2^{30}}{8^9}=2x}$

$\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}$

$\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}$

$\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4 0

3 years ago

Read 2 more answers