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2 years ago

Which graph represents the solution set for the system 2x + y ≤ 3 and y − x > 2?

Mathematics

1 answer:

natka813 [3]2 years ago

4 0

You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).

Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).

So at the point, it won't be too hard to find the correct region.

To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.

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Find the value of X round your number to the nearest tenths Explain it please

Anarel [89]

In this case, we must use trigonometry to find the value of x:

$tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24$

Thus the value of x rounded to the nearest tenth is 8.2

Hope that helps!

8 0

2 years ago

Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

frosja888 [35]

Answer:

See below

Step-by-step explanation:

Use the slope-intercept form, which will be in this case:

g(u) = mu + b, where m is the slope, b is the y- intercept

Find the slope:

$m=(y_2-y_1)/(x_2-x_1)$
$m=(-8-5)/(-5-20)=(-13)/(-25)=13/25$

Find the value of the y-intercept:

$5=1/25*20+b$
$b=5-4/5=21/5$

The equation is:

$g(u)=\frac{13}{25} u+\frac{21}{5}$

3 0

2 years ago

What does the measure of B Equal?

defon

You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

m<B + 73 = 180

m<B = 107

8 0

3 years ago

Plz help..............refresh the page before u answer

Anni [7]

To add/subtract fractions you need to have a common denominator...

(2/2)(4n/15)+(5/5)(n/6)

8n/30+5n/30

(8n+5n)/30

13n/30

8 0

3 years ago

Im really stook does any one know 6÷3/5

IRISSAK [1]

Ok so if the 6÷3 does not have a bracket, then the answer would be:

6÷3/5 = 6 * 5/3 = 2 * 5 = 10

Hope this helps!

3 0

3 years ago