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AnnZ [28]
2 years ago
10

I really don’t get this , it’s graphing linear inequalities

Mathematics
1 answer:
ElenaW [278]2 years ago
6 0

The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to y = \frac{1}{4}x - 2. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).

Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.

Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).

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2 years ago
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Given: &lt;SPT = &lt;RQT, ST = RT Prove: PR = QS​
andrey2020 [161]

Answer:

See explanation

Step-by-step explanation:

Consider triangles PTS and QTR. In these triangles,

  • ST=RT - given;
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  • \angle STP=\angle RTQ - as vertical angles when lines PR and SQ intersect.

Thus, \triangle PTS\cong \triangle QTR by AAS postulate.

Congruent triangles have congruent corresponding sides, so

PT=QT

Consider segments PR and QS:

PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]

So,

PR=SQ\ [\text{Substitution property}]

7 0
3 years ago
how do you determine if the answer to a problem is negative or positive in division multiplication addition and subtraction
erica [24]
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5 * -5 = -25
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-5/-5= 1
5/-5= -1


in addition and subtraction, subtracting a negative means to add the two numbers. adding a negative means to subtract the second number.

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7 0
3 years ago
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Tamiku [17]
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6 0
1 year ago
Please answer!!!!!! will mark brainliest
timofeeve [1]

Answer:

The answer is 2/5 or 5.25

Step-by-step explanation:

5 sections so out of 5 and it said A or B so it is 2/5

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2 years ago
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