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lisabon 2012 [21]
3 years ago
15

What is the solution of the following system use the elimination method

Mathematics
1 answer:
amm18123 years ago
6 0

so, x =

-  \frac{3}{2}

and y =

4

Hence, the answer is the first one.

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Which mixes number is equivalent to the improper fraction 17/10
Romashka [77]

1 7/10 is equivalent to the improper fraction 17/10

8 0
3 years ago
Mandy emptied the bags and put the candy into equal groups.How many candies were in each group?
alexira [117]

Answer:

25

Step-by-step explanation:

40+76+84 = 200.

200 ÷ 8 = 25

Answer: 25.

3 0
3 years ago
Solve: 2 + = 2. Give solutions in interval [0, 2)
Dovator [93]
\because\cos 2x+\sin x=\sin 2x\because\sin 2x=2\sin xcosx\because\cos 2x=\cos ^2x-\sin ^2x

→ Substitute cos 2x and sin 2x by their expressions

\therefore\cos ^2x-\sin ^2+\sin x=2\sin x\cos x

→ Subtract both sides by sin x

\cos ^2x-\sin ^2x=2\sin xcosx-\sin x

→ Take sin x as a common factor in the right side

\therefore\cos ^2x-\sin ^2x=\sin x(2\cos x-1)

From the graph, the equation has 4 solutions, the intersection points between the 2 graphs

7 0
1 year ago
cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve thi
ValentinkaMS [17]

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

8 0
3 years ago
Derek's score on a test was 90 percent. He had 72 questions right. How many problems were on the test?
romanna [79]

90% = 72 questions


\\Find 1%

1 % = 72 ÷ 90 = 0.8


\\Find 100%

100% = 0.8 x 100 = 80 questions


Answer: There were 80 questions

6 0
3 years ago
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