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Phoenix [80]
3 years ago
11

Given system 2x-4=5 5x+4y=2 Solve for x and y and SHOW ALL OF YOUR WORK

Mathematics
1 answer:
Georgia [21]3 years ago
5 0
I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y

5(9/2) + 4y = 2
4y + 45/2 = 2 
4y 45
y = 45/4 = 11.25
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What is the sun of 185 and h
Ksenya-84 [330]

Answer:

185 + h

Step-by-step explanation:

Question: What is the sum of 185 and h?

Sum means the answer to an addition problem, so we need to add.

185 +  h

This expression can not be simplified any further, so 185 + h is your answer.

Hope this helps :)

3 0
2 years ago
10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help​
Alik [6]

Hey ! there

Answer:

  • Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

  • H² = P² + B²

<u>Where </u><u>,</u>

  • H refers to <u>Hypotenuse</u>

  • P refers to <u>Perpendicular</u>

  • B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

  • Base = <u>TE </u>

  • Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

  • Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

\quad \longmapsto \qquad \:SE {}^{2}  = TS {}^{2}  + TE {}^{2}

Substituting values :

\quad \longmapsto \qquad \:37 {}^{2}  = 35 {}^{2}  + TE {}^{2}

Simplifying it ,

\quad \longmapsto \qquad \:1369 = 1225  + TE {}^{2}

Subtracting 1225 on both sides :

\quad \longmapsto \qquad \:1369 - 1225  = \cancel{1225}  + TE {}^{2}  -  \cancel{1225}

We get ,

\quad \longmapsto \qquad \:144 = TE {}^{2}

Applying square root to both sides :

\quad \longmapsto \qquad \ \sqrt{ 144} =  \sqrt{TE {}^{2}}

We get ,

\quad \longmapsto \qquad \:     \red{\underline{\boxed{\frak{TE  = 12 \: feet}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

  • SE² = TS² + TE²

Substituting value of SE , TS and TE :

  • 37² = 35² + <u>1</u><u>2</u><u>²</u>

  • 1369 = 1225 + 144

  • 1369 = 1369

  • L.H.S = R.H.S

  • Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
6 0
2 years ago
Read 2 more answers
Amanda purchased a storage cube that has a volume of 4 cubic feet. She wants to put it on a bookshelf that is 12 inches tall. Wi
Sedbober [7]
The answer is No, the cube will not fit because 4 cubic feet is 48 inches, and the bookshelf is only 12 inches, Therefore, the cube is basically larger than the bookshelf. Hope this helps and sorry I’m late.
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3 years ago
Simplify 8(3+5)<br><br><br> Help me please
amid [387]

Answer:

64

Step-by-step explanation:

pemdas says parenthesis first

3+5=8

8(8)

8 times 8 equals 64

3 0
3 years ago
Read 2 more answers
Which expressions are equivalent to this expression?
Lyrx [107]

Answer:

Option B

Option C

Option D

All of these are correct

Step-by-step explanation:

Option B is correct because:

2x + 1 + 2x + 3 = 4x + 4

=> 4x + 4 = 4x + 4

Option C is correct because:

x + 3x + 4 = 4x + 4

=> 4x + 4  = 4x + 4

Option D is correct because:

2(2x + 2) = 4x + 4

=> 4x + 4 = 4x + 4

Option A is incorrect because:

4(x + 4) = 4x + 4

=> 4x + 16 ≠ 4x + 4

7 0
3 years ago
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