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3 years ago

6

Original Equation: y = 2x + 7 Which equation will shift the graph of the original equation up 2 units?

1 answer:

Wittaler [7]3 years ago

8 0

This is a linear function y=mx + b

If x = 0 then y=b, if A is the point where y intercepts y-axis, the coordinates of
A(0,b)
If you want to shift the graph up by 2 units, then you have to add 2 units to b
In our case original b=7, =so to shift it up, b becomes 7+2=9
and the new function will be y=2x + 9

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3 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = $(1\frac{1}{2})x$

Perimeter of this isosceles triangle = x + x + $(1\frac{1}{2})x$

= 2x + $(1+\frac{1}{2})x$

= 2x + x + $\frac{x}{2}$

= $\frac{5x}{2}$

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = $\frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}$

Perimeter of the smaller triangle = $\frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}$

= x + $\frac{x}{2}+\frac{x}{4}$

= $\frac{3}{2}x+\frac{x}{4}$

= $\frac{6}{4}x+\frac{x}{4}$

= $\frac{7}{4}x$

= 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)

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3 years ago

May I please receive help?

mario62 [17]

Answer:

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Step-by-step explanation:

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2 years ago

Round 36.319 to the nearest tenth

vampirchik [111]

36.3 because the digit in the hundredths place is not 5 or greater

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3 years ago

Read 2 more answers

the scientists collection that as granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81 9

ipn [44]

Answer:

<h2> 6 1/2 lbs</h2>

Step-by-step explanation:

Given the weight of granite to be 74 26/36 lbs,

Weight of quartz is 81 9/40 lbs.

To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.

Weight of quartz - Weight of granite

= 81 9/40 - 74 26/36

= 3,249/40 - 2690/36

= (29, 241 - 26,900)/360

= 2,341/360

= 6 181/360

≈ 6 1/2 lbs

quartz weighs approximately 6 1/2 lbs much more than granite

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3 years ago