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3 years ago

7

Write an expression that represents the sum of B and the product of 5 times 2.

1 answer:

uysha [10]3 years ago

4 0

Answer:

5×2 = b

Step-by-step explanation:

dont know how to explain sorry.......

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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

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3 years ago

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ᕼEᒪᑭ ᗩᔕᗩᑭ <br> TᕼE ᗷEᔕT E᙭ᑭᒪᗩIᑎEᗪ ᗩᑎᔕᗯEᖇ ᗯIᒪᒪ GET ᑕᖇOᗯᑎ

olga nikolaevna [1]

Answer: Idk if this is right but the answer is 21.2, Each time you add 4.8cm

Step-by-step explanation: 4 cups=11.6cm

11.6cm+4.8cm=16.4cm

16.4cm+4.8cm=21.2

6 0

3 years ago

when 200 apples are sold at Rs 1.50 each there will be rupees hundred loss how many apples should be sold for rupees 150 to gain

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Sales price of 200 apples = 300

At this price, there was loss of Rs. 100

Means the cost of the apples was

300 + 100 = Rs. 400

To earn Rs. 100, they should have been sold for Rs. 500

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3 years ago

What time is 5 3/4 hours after 11:32 am?

Norma-Jean [14]

Answer:

5:17pm

Step-by-step explanation:

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3 years ago

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X squared -8x+14=2x-7

Stella [2.4K]

Answer:

x = 3 or x = 7

Step-by-step explanation:

X² - 8x + 14 = 2x - 7

x² - 8x + 14 - 2x + 7 = 0

Now we have a quadratic equation ;

x² - 10x + 21 = 0

-3 and - 7 gives a sum of - 10 and a product of 21

x² - 3x - 7x + 21 = 0

x(x - 3) - 7(x - 3) = 0

(x - 3) = 0 or (x - 7) = 0

x = 3 or x = 7

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3 years ago