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3 years ago

Expand and simplify the following expressions : 1.(a-5)(a-7)

Mathematics

1 answer:

aliya0001 [1]3 years ago

6 0

Answer:

1. (a-5)(a-7)

a2 - 12a + 35

2. (x-2y)(3x+4)

3x2 +4x - 6xy - 8y

3. (4x+3y)(4x-3y)

16x2 - 9y2

4. (6x-7y)(6x+7y)

36x2 - 49y2

(the twos after the letters means squared)

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

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3 years ago

Is it possible to build a triangle with inside angles of 90 degrees , 50 degrees, and 60 degrees?

N76 [4]

Answer:

Step-by-step explanation:

Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees

To check : if it possible to build a triangle with given angles

Solution:

According to angle sum property of a triangle, sum of angles of a triangle is equal to $180^{\circ}$

Here,

sum of given angles = $90^{\circ}+50^{\circ}+60^{\circ}=200^{\circ}\neq 180^{\circ}$

Therefore, it is not possible to construct a triangle with given angles.

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3 years ago

This graph shows the altitude of an airplane over time. Which story matches the graph?

Oksi-84 [34.3K]

Answer:

A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)

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3 years ago

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The manufacturing cost of a cell phone was $136. Sellers first marked up the cost by 25 percent. Sales were poor, so sellers dec

lilavasa [31]

136×25%=136×25/100= 3 400/100=34
so the markeup value is
136+34= 170
170×17%=170×17/100=2 890/100=28.9
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3 years ago

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An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

irina1246 [14]

Answer: $3\times \dfrac{P}{3}=P$

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

$\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}$

i.e.

$\Rightarrow 3\times \dfrac{P}{3}=P$

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3 years ago