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Zolol [24]
3 years ago
8

The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equati

ons is?
Mathematics
1 answer:
sergey [27]3 years ago
4 0

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

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Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

8 0
2 years ago
Solve log (x + 1) = –x2 + 10 by graphing
Anit [1.1K]
 Your answer would be x = 3.0645

CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609

Hope this helps!

So in short your answer is x = 3.0645
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3 years ago
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Step-by-step explanation:

3 0
3 years ago
Guys please help! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length
AURORKA [14]
You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)

your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°

-> insert those values, with c substituted with b+3 to remove c

c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
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3 years ago
For #7 Find the measure of each numbered angle in the rectangle?
jok3333 [9.3K]

Answer:



A rectangle is a geometric figure in which all four angles are 90 degrees. So if you have a missing side and it is a true rectangle, then you know the missing angle is 90 degrees. However, you could be working with a rectangle that is slanted. This is known as a parallelogram. To find the missing angle in such a case, you need to know that all the angles will add up to 360 degrees.


Write out the three known sides. For example, assume you have angles of 120, 120 and 60.


Write out an algebraic expression. Because you know the sum of all four sides must equal 360 degrees, your expression in the example will be 120 + 120 + 60 + X = 360.


Solve for X. Add together all of the angles. Subtract the amount from 360. In the example, 60 degrees is the missing angle.

Step-by-step explanation:


7 0
3 years ago
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