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Sunny_sXe [5.5K]
3 years ago
14

The expression x-2 has a value of -5 for some value of x. For the same value of x, what is the value of the expression (x-2)²+5x

-10? Show your reasoning for this problem in the space provided.
(1) 0 (2) 15 (3) 14 (4) -10
Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

-10

Step-by-step explanation:

Assuming that x-2=-5, we can subtitute it into the equation as follows:

(-5)^2 + 5(-5) - 10, we start off with the exponent according to the order of operations resulting in:

25 + 5(-5) -15, then we do the multiplication next:

25 + (5 * -5 = -25) so:

25 + -25 - 10, the 25s cancel each other out and your left with:

0 - 10 which equals -10

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Lisa [10]

Answer:

its 11/6

Step-by-step explanation:

GCD of 11 and 6 is 1

Divide both the numerator and denominator by the GCD

11 ÷ 1

6 ÷ 1

Reduced fraction:  

11/6

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3 years ago
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Find the measure of angle FED and DEN. Thx!!!! :)
Katena32 [7]

Answer:

m<FED=60, m<DEN=120

Step-by-step explanation:

m<FED=60

This is because <GEN and <FED are vertical angles.

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.

m<DEN=120

This is because <DEN and <GEN are supplementary.

Supplementary angles add up to 180 degrees.

We know this because a straight line is always 180 degrees.

So:

m<DEN+m<GEN=180

m<DEN+60=180

m<DEN=120

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3 years ago
What is triangle angel sum theorem
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3 years ago
←<br><br> How many solutions does this linear system have<br> y =<br> x+2<br> 6x - 4y = -10
defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

<u>Slope-intercept form</u>

y = mx + b

m ... slope

b ... y-intercept

6x - 4y = -10

6x + 10 = 4y

\frac{6}{4}x + \frac{10}{4} = y

\frac{3}{2}x + \frac{5}{2} = y

If two lines have the <em>same slope </em>but <em>different y-intercept</em>, they are parallel - <u>system has no solutions</u>.

If two lines have the <em>same slope</em> and the <em>same y-intercept</em>, they are the same line and are intersecting in infinite many points - <u>system has infinite many solutions</u>.

If two lines have <em>different slopes</em> then they intersect in one point - <u>system has one solution</u>.

We see that lines have different slopes. First line has slope 1 and the other line has slope \frac{3}{2}. So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

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300,000cm is equals to 3km
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