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zubka84 [21]
3 years ago
13

Do you think the equations (x−1)(x+3)=17+x and (x−1)(x+3)+500=517+x should have the same solution set? Why?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations  

(x-1)(x+3)=17+x ..... (1) and  

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).  

Therefore, there will be the same solution set for equations (1) and (2).  (Answer)

There are two equations  

(x-1)(x+3)=17+x ..... (3) and  

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).  

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

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irina [24]

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

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ki77a [65]

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

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Rounding to the nearest tenth

x = 44.4

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What is the measure of ∠D?
LenaWriter [7]

Answer:

63

Step-by-step explanation:

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3 0
3 years ago
What is the surface area of the figure shown? Plz answer asap
Luba_88 [7]

Answer:

264\ cm^{2}

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

LA=(4)(6)(6)=144\ cm^{2}

step 3

Find the area of the base of the rectangular prism

B=(6)(6)=36\ cm^{2}

step 4

Find the surface area

84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}

3 0
3 years ago
What is the solution set of these system5x-2y=17 and 4x-7=13?
MatroZZZ [7]

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for <em>x</em> using the 4x-7=13 equation by <u>isolating terms containing the variable</u>:

4x-7=13\\4x=20\\\fbox{x=5}

Great! <em>x</em> is 5... let's find <em>y</em>.

Step 2:

Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:

5x-2y=17\\

<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.

5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}

<em>I hope this helps! Let me know if you have any questions :)</em>

3 0
2 years ago
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