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qwelly [4]
3 years ago
13

Find the point on the line and the lines slope y+1=-3/2(x+7)

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

A point on the line would be (-3, -7) and the slope if -3/2

Step-by-step explanation:

We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.

y + 1 = -3/2(x + 7)

y + 1 = -3/2(-3 + 7)

y + 1 = -3/2(4)

y + 1 = -6

y = -7

And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)

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scoray [572]

Answer:

"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.

Step-by-step explanation:

Example 1:

Consider the inequality

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The basic strategy for inequalities and equations is the same: isolate x on one side, and put the "other stuff" on the other side. Following this strategy, let's move +5 to the right side. We accomplish this by subtracting 5 on both sides (Rule 1) to obtain

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after simplification we obtain

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Once we divide by +2 on both sides (Rule 3a), we have succeeded in isolating x on the left:

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or simplified,

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All real numbers less than 1 solve the inequality. We say that the "set of solutions'' of the inequality consists of all real numbers less than 1. In interval notation, the set of solutions is the interval tex2html_wrap_inline187 .

Example 2:

Find all solutions of the inequality

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Let's start by moving the ``5'' to the right side by subtracting 5 on both sides (Rule 1):

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or simplified,

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How do we get rid of the ``-'' sign in front of x? Just multiply by (-1) on both sides (Rule 3b), changing " tex2html_wrap_inline201 " to " tex2html_wrap_inline203 " along the way:

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or simplified

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Example 3:

Solve the inequality

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and simplify:

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Next, subtract 9 on both sides (Rule 1):

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simplify to obtain

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Then, divide by 4 (Rule 3a):

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and simplify again:

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It looks nicer, if we switch sides (Rule 2).

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4 0
2 years ago
Rename 7/20 as a percent
igomit [66]

Step-by-Step Explanation:

a) Rename \frac{7}{20} as a percent

\frac{7}{20}\times 100\\\\=7\times 5\\\\=35\%

b) Rename .245 as a percent

.245\times 100\\\\=\frac{245}{1000}\times 100\\\\=24.5\%

c) Rename 28% as a fraction and a decimal in simplest form

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d) Put .367,36.5%, \frac{9}{25} in order least to greatest.

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Now, we have 36.7%, 36.5%, 36%

We have write it in ascending order i.e. least to greatest ,

Here it is,

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7 0
3 years ago
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il63 [147K]
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6 0
3 years ago
Read 2 more answers
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katovenus [111]

Answer:

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8 0
2 years ago
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kompoz [17]

Answer:

a. 60 centimeters

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a.

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48 + 12 = 60

b.

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70 - 3 = 67

7 0
2 years ago
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