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3 years ago

Solve each system of equations by graphing.

Mathematics

1 answer:

fredd [130]3 years ago

3 0

Answer:

1. X=-3, Y=0

2. all real numbers

Step-by-step explanation:

2x+x+3=-6

3x+3=-6

3x=-9

x=-3

y=-3+3

y=0

6x-2(3x-6)=12

6x-6x+12=12

0=0

All real numbers

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Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).

grandymaker [24]

Answer:

Option (B)

Step-by-step explanation:

In the figure attached,

A straight line is passing through two points (0, 2) and (3, 1).

Slope of this line ( $m_1$ ) = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{2-1}{0-3}$

= $-\frac{1}{3}$

Let the slope of a parallel to the line given in the graph = $m_2$

By the property of parallel lines,

$m_1=m_2$

$m_2=-\frac{1}{3}$

Equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the parallel line which passes through (-3, 0) and having slope = $-\frac{1}{3}$ will be,

$y-0=-\frac{1}{3}(x+3)$

$y=-\frac{1}{3}x-1$

Option (B). will be the answer.

5 0

3 years ago

What are the intercepts of -4x+6y-5z=60

AURORKA [14]

Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>

7 0

3 years ago

Can someone answer this?

sesenic [268]

C.. third one

Hope it helps you

6 0

3 years ago

1.) Multiply 2ab(−a+2b+3).(1 point)

GarryVolchara [31]

Answer:

(x+3)(4x−2) = 4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

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3 years ago

A tablet weighs 1.23 pounds. What is its weight written as a mixed number?

garik1379 [7]

If a tablet weighs 1.23 pounds, the weight written as a mixed number would be, 1 as the whole number and 23 is in the hundreds place, so you would write, 1 and 23/100.

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3 years ago