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3 years ago

11

WILL MARK BRAINLIEST!!! :)

1 answer:

Vilka [71]3 years ago

3 0

Answer:

A) y = 1/3x + 4

B) y = 1/2x - 9

Step-by-step explanation:

A) In order to find this, we must first solve the initial equation for y to get the slope.

-x + 3y = 6

3y = x + 6

y = 1/3x + 2

Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.

y - y1 = m(x - x1)

y - 5 = 1/3(x - 3)

y - 5 = 1/3x - 1

y = 1/3x + 4

B) To find this line, we again have to find the slope of the initial equation by solving for y.

2x + y = -4

y = -2x - 4

Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.

y - y1 = m(x - x1)

y - - 8 = 1/2(x - 2)

y + 8 = 1/2x - 1

y = 1/2x - 9

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In 2002, Tim was twice as old as Sue. In 1997 the sum of their ages was 32. In what year will Sue's age be three-fourths Tim's a

xxMikexx [17]

Answer:

Year 2030.

Step-by-step explanation

In 1997, Let Tim's age = <em>X</em> years

In 1997, Let Sue's age = <em>Y</em> years

After 5 years in 2002, Tim's age = (<em>X+ 5) </em>years

After 5 years in 2002, Sue's age = <em>(Y + 5)</em> years

Now, According to question,

<em>X </em>+ <em>Y</em> = 32 (sum of their ages) .......(1)

<em>Y </em>= 32 -<em> X</em>

(X + 5) = 2 (Y + 5) .......(2)

Substituting the value of <em>Y</em> in (2)

<em>X </em>+ 5 = 2 (32 - <em>X </em>+ 5)

<em>X </em>+ 5 = 2 (37 - <em>X </em>)

<em>X </em>+ 5 = 74 - 2<em>X </em>

3<em>X </em>=<em> </em>69

<em>X </em>= 69/3 = 23

Now ∵<em> Y</em> = 32 - <em>X </em>and<em> X = </em>23

∴ <em>Y</em> = 32 - 23 = 9

So, In 1997, Tim's age = 23 years and Sue's age = 9 years.

Let the year in which Sue's age will be three-fourth times of Tim's age be t.

Sue's age after<em> t </em>years = (9 +<em> t) </em>years.

Tim's age after<em> t</em> years = (23 + <em>t</em>) years

According to question,

$(9 + t) = \frac{3}{4} \times(23 + t)$

$4 (9 + t) = 3 (23 + t)$

$36 + 4t = 69 + 3t$

<em> $4t - 3t = 69 - 36$ </em>

<em> $t = 33$ </em>

The Year in which Sue's age will be three-fourth times of Tim's age is:

= (1997 + 33) = 2030.

4 0

4 years ago

Moira placed $2 in an empty piggy bank, and then added $3 every month. The same day, Nathan placed $5 in an empty piggy bank, an

iren2701 [21]

Answer:

A because they can never be equal because each month Moira adds 5 dollars and Nathan adds 8 dollars

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4 years ago

Read 2 more answers

The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?

natali 33 [55]

Answer:

A. $h(x) = (x+2)^{2}+5$

Step-by-step explanation:

First, we need to defined the two transformations required to derive $h(x)$ .

Vertical translation

$n(x) = m(x) +k$ , $k \in \mathbb{R}$ (1)

Where:

$k > 0$ , upwards.

$k < 0$ , downwards.

Horizontal translation

$n(x) = g(x+k)$ , $k\in \mathbb{R}$ (2)

Where:

$k > 0$ , leftwards.

$k < 0$ , rightwards.

Let $f(x) = x^{2}$ , if $h(x)$ is translated 2 units left and 5 units up, then we have the resulting expression:

$h(x) = (x+2)^{2}+5$ (3)

Hence, correct answer is A.

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3 years ago

What is the simplified version of the rational expression -3x+12/32-8x

EleoNora [17]

Answer:

-11x+12/32

Step-by-step explanation:

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two students together have 27 nuts. if one of them had 3 times more, while the other 7 times more they would have 117 nuts. how

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40 because if you are bruno you eat bronze

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