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Fofino [41]
3 years ago
9

Which of the following points is a solution to the system of linear inequalities

Mathematics
2 answers:
Nitella [24]3 years ago
4 0

Answer:

(-4,-1) satisfies the given system of inequalities

Step-by-step explanation:

2x+y

-x+y>0

To find out the solution we check with each option

(4,1) , x=4 and y=1 (Plug in x and y values in the given inequalities)

2(4)+1

9 False

(-4,-1) , x=-4 and y=-1 (Plug in x and y values in the given inequalities)

2(-4)-1

-9 True

Now plug it in second inequality

-(-4)-1>0

3>0 True

(-8,-21) , x=-8 and y=-21 (Plug in x and y values in the given inequalities)

2(-8)-21

-37 True

Now plug it in second inequality

-(-8)-21>0

-13>0 False

(8,11) , x=8 and y=-11(Plug in x and y values in the given inequalities)

2(8)+11

-9 false

Sergeu [11.5K]3 years ago
3 0
For it to be a solution, it has to satisfy both inequalities...

subbing in (-4,-1)

2x + y < -5                           -x + y > 0
2(-4) - 1 < - 5                      -(-4) - 1 > 0
-8 - 1 < -5                              4 - 1 > 0
-9 < -5.....true                        3 > 0....true

solution is (-4,-1)

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2 years ago
From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

\frac{AD}{BD}=\frac{BD}{DC}

Where BD is the altitude.

Cross multiply:

BD^2=AD*DC

Plug in the values and solve for x:

\begin{gathered} (x+3)^2=3*27 \\  \\ (x+3)^2=81 \end{gathered}

Take the square root of both sides:

\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\  \\ x+3=9 \\  \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\  \\ x=6 \end{gathered}

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ANSWER:

d. 6

4 0
1 year ago
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