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Luba_88 [7]
3 years ago
6

Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0

Answer:

the answer is  B. y equals five halves x minus 14

Step-by-step explanation:

hope it helps

tresset_1 [31]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

The given equation is

y=\frac{5}{2}x-10

It means the slope of the line is 5/2 and y-intercept is -10.

The slope of two parallel lines is same. So, the slope of required line is 5/2.

The equation of required line is

y=\frac{5}{2}x+b

It is given that the line passes through the point (-6,-29).

(-29)=\frac{5}{2}(-6)+b

-29=-15+b

-29+15=+b

-14=b

The y-intercept of required line is -14. So the equation of required line is

y=\frac{5}{2}x-14

Therefore the correct option is B.

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Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right
Dafna11 [192]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

4 0
3 years ago
Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu
agasfer [191]

The additive inverse: The usage of addition with a negative number.

The original equation is 21 - 11 = 10

To use the additive inverse, change it so that there is an addition sign.

21 + (-11) = 10

B) -11 is your answer

hope this helps

7 0
2 years ago
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Question 9 of 10
Stells [14]

Answer:

A. The shopper receives a discount now and pays sales tax on the

discounted price of the item. I think, makes most sense

7 0
3 years ago
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What is the vertex of the quadratic function given in the table?
likoan [24]

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

7 0
2 years ago
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Michael is trying to write the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? Mic
gizmo_the_mogwai [7]

Answer:

Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

Correct solution: 6 ÷ (5 + y)

Step-by-step explanation:

- <em>Lets revise some words of some operations in mathematics</em>

# The sum ⇒ (+) Add

# The difference ⇒ (-) subtract

# The product ⇒ (×) multiply

# The quotient (answer of division) ⇒ (÷) divide

* <em>Lets solve the problem</em>

- Michael is trying to write the algebraic expression for the following

 word phrase:

 the quotient of 6 and the sum of 5 and y

- <u><em>Lets explain that:</em></u> the quotient means the answer of division so he

 wants to divide a quantity by another one

∵ The first quantity is 6

∵ The second quantity is the sum of 5 and y

- He wants to divide 6 by (5 + y)

∴ The expression is 6 ÷ (5 + y)

* Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

* Correct solution: 6 ÷ (5 + y)

4 0
3 years ago
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