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vazorg [7]
3 years ago
15

What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?

Mathematics
2 answers:
vlabodo [156]3 years ago
6 0
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2....the slope here is 2/3. A parallel line will have the same slope

y = mx + b
slope(m) = 2/3
(9,-3)...x = 9 and y = -3
now we sub and find b, the y int
-3 = 2/3(9) + b
-3 = 6 + b
-3 - 6 = b
-9 = b

so ur parallel equation is : y = 2/3x - 9 <== or 2x -3y = 27
KIM [24]3 years ago
4 0

Answer:


Step-by-step explanation: i just took the test and it says the answer is y=2/3x-9


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6x+3y=-3 how to graph it need answers quick
maw [93]

Answer:

Equation in slope intercept form: y = -2x -1

Step-by-step explanation:

First you must convert this equation from standard form to slope intercept form (y=mx+b).

Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.

Now to graph:

First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.

Next we will go down 2 units and over to the right 1 unit, until we get to the next point.

(Picture is attached above for your convenience⤴⤴⤴)

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3 0
2 years ago
X+2(x+3(x+4(x+5)))=153
Allushta [10]

Answer:

x=1

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1

3 0
3 years ago
I WILL MAKE YOU BRAINIST
nekit [7.7K]

Answer:

234

Step-by-step explanation:

We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.

We can use the summation formula:

S=\frac{(a_1+a_n)*n}{2}, where a1 is the first term, a_n is the last term, and n is the number of terms

Here, we can say the first term occurs when n = 2:

-4 + 5n

-4 + 5 * 2 = -4 + 10 = 6

The last term will be when n = 10:

-4 + 5n

-4 + 5 * 10 = -4 + 50 = 46

The number of terms is just 10 - 2 + 1 = 9 terms.

Substitute these in:

S=\frac{(a_1+a_n)*n}{2}

S=\frac{(6+46)*9}{2}=\frac{468}{2} =234

Thus, the answer is 234.

8 0
3 years ago
172% of 50 is what number?
Likurg_2 [28]

Answer:

172% of 50 means 172÷100 multiplied by 50 will give you 86

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2 years ago
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Graphs of what functions are shown below?
shtirl [24]

Answer:

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Step-by-step explanation:

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