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3 years ago

If the number p is 20 more than the number q using algebra write the relationship between p and q

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

All you have to do is write the equation out showing what q equals.
q=p-20

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

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3 years ago

The number of hours a group of 12 children in Mrs. Smith's kindergarten class read in a day.

sergey [27]

Anwser: 30min no more

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3 years ago

(a-1) a2-b2/1-ab+2(a-b)/2b a=2, b=-1

denis-greek [22]

I hope this helps you

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2 years ago

Read 2 more answers

If theres 3 apples and you take 2 away, how many do you have?

Degger [83]

The answer depends on the perspective; however, this question is often meant to be a "trick question"; with the answer being: 2 (two) apples!
_______________________________________________
The rationale behind this answer is that if there are three apples, but you "take 2 away" you now have "2" apples, because YOU are the one who "took away the 2 apples"—so presumably, YOU have the "2 apples" that YOU "took away"!

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2 years ago

Solve the following equation for all values of x: 10x^2 - 5x = 0

kirill115 [55]

Using the quadratic formula works but if you know there are 2 answers (highest power of problem tells you how many solutions) then
10x^2 = 5x
So either x = 0, giving 0=0. Or divide by 5x
2x = 1
x = 0.5

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3 years ago