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2 years ago

Which system of linear inequalities is graphed?

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

6 0

Answer:

A) {x < −2

{y ≤ −x − 2

Step-by-step explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the rate of changes [slopes] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

$x < -2$ is the vertical line with a less than sign, so it gets the dashed line, whereas the other line has a less than or equal to sign, so this line gets the solid line.

I am joyous to assist you anytime.

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Can you help me with this problem please

Over [174]

Remark

I think you want us to do both 3 and 4

Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.

RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long

TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.

Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.

Area = (b1 + b2)*h/2

Givens

B1 = QR = 6

B2 = UT + TS = 6 + 3 = 9

h = RT = 7

Area

Area = (6 + 9)*7/2

Area = 15 * 7 / 2

Area = 52.5

Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS

Area of the rectangle = L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42

Area of the triangle = 1/2 * B * H

B = TS = 3

H = RT =7

Area = 1/2 * 3 * 7

Area = 1/2 * 21

Area = 10.5

Total Area = 42 + 10.5 = 52.5 Both answers agree.

3 0

2 years ago

Pls help:Find all the missing elements:

Yuliya22 [10]

Answer:

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |c| }{ \sin(C) }$

From the question

a = 15

A = 70°

c = 14

So we have

$\frac{15}{ \sin(70) } = \frac{14}{ \sin(C) }$

$\sin(C) = \frac{14 \sin(7 0 ) }{15}$

$C = \sin^{ - 1} ( \frac{14 \sin(70) }{15} )$

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |a| }{ \sin(B) }$

$\frac{15}{ \sin(70) } = \frac{ |b| }{ \sin(48.7) }$

$|b| = \frac{15 \sin(48.7) }{ \sin(70) }$

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

6 0

2 years ago

The value 3.84 is 12% of what number?

xeze [42]

So percent means parts out of 100
so 12%=12/100=1.2/10=0.12/1=0.12

3.84 is 12% of what
'of' means multiply
'is' means = sign

therefor
3.84=0.12 times what
divide both sides by 0.12
32=what

th enumber is 32

7 0

3 years ago

Equations and functions What’s the answer to this ? I’m haveing trouble

Alenkinab [10]

Answer:

B / px= k

Step-by-step explanation:

B = kpx

Divide each side by px

B / px= kpx/px

B / px= k

7 0

2 years ago

Read 2 more answers

Why was it not possible to increase the vertical scale by 0.5 each time ?

NNADVOKAT [17]

Answer:nothings not possible my friend (impossible)

Step-by-step explanation:

8 0

2 years ago