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1 year ago

Which system has no solution?

Mathematics

1 answer:

stealth61 [152]1 year ago

6 0

Answer:

x+y=-1

2x+2y=8

the correct answer is B

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What is the value of q?

andre [41]

Answer: here

Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:

q s

--- = ---- This results in 10q=rs.

r 10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.

4 s

Also: ---- = ----- which leads to s^2 = 40

s 10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

hope it helps

6 0

2 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

3 years ago

SHOPPING Sergio, Boris, and Opa went shopping. If you add 4 dollars to the amount of money Sergio spent

Georgia [21]

Answer:

answer is 2

Step-by-step explanation:

if you create an equation: (s+4)x2 = boris s-1x12 = opa

only one that only works out is 2

6 0

2 years ago

11. What method can be used to prove these two triangles are congruent?

zubka84 [21]

This would be SAS. If that’s wrong I’m sorry but it’s the only thing that makes sense, the dashes indicate they are the same and then the circle at the point also indicates that they’re the same so you have two sides and one angle that are the same, so it should be SAS.

5 0

2 years ago

Killer whales usually swim at a rate of 3.2–9.7 kilometers per hour, though

Anastaziya [24]

Answer:

between 6 h and 7 h

answer

5 0

2 years ago