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Lisa [10]
3 years ago
7

Y=1/2x-2 and y=-3x+5 system by Substitutions

Mathematics
2 answers:
mr Goodwill [35]3 years ago
3 0

Answer:

x = 2 ; y = -1

Step-by-step explanation:

y = 1/2*x - 2 and y = -3*x + 5

1/2*x - 2 = -3*x + 5

7/2*x - 2 = 5

7/2*x = 7

x = 2

y = 1/2*2 - 2 = -1

y = -3*2 + 5 = -1

agasfer [191]3 years ago
3 0

Answer:

(2,-1)

Step-by-step explanation:


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Answer:

The missing side of the triangle is x

Step-by-step explanation:

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The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object wh
Sophie [7]

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

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3 years ago
The circus is coming to town. Cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a tota
Galina-37 [17]
Let the price of adult ticket and children ticket be a and c respectively
8a+5c=177.50 -> 24a+15c=532.5
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3 0
3 years ago
Can you help me to solve this
stealth61 [152]

Answer:

\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37

Step-by-step explanation:

*Notes (clarified by the person who asked this question):

-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)

-The bottom side of the right triangle is marked with a question mark (?)

<u>Triangle 1 (triangle on left):</u>

Special triangles:

In all 45-45-90 triangles, the ratio of the sides is x:x:x\sqrt{2}, where x\sqrt{2} is the hypotenuse of the triangle. Since one of the legs is marked as 30, the hypotenuse must be \boxed{30\sqrt{2}}

It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:

\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\

<u>Triangle 2 (triangle on right):</u>

We can use basic trig for right triangles to set up the following equations:

\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18},

\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}

We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:

a^2+b^2=c^2, where c is the hypotenuse of the triangle and a and b are two legs of the triangle.

Verify 34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark

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2 years ago
What is 5 divided by 6
Arisa [49]

Answer:0.833333333

Step-by-step explanation:0.833333333

7 0
3 years ago
Read 2 more answers
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