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mars1129 [50]
1 year ago
9

homeworklibexpress the area a of a right triangle as a function of the height h if the base of the triangle is twice its height?

Mathematics
1 answer:
igomit [66]1 year ago
7 0

Answer:

A = h²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

here b = 2h , then

A = \frac{1}{2} × 2h × h = h × h = h²

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Describe the solution of the equation x^2+7x+2=0
yarga [219]
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a

With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2

So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984

This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2
4 0
3 years ago
Seven times a number is equal to 9 more than 4 times the number. find the number
Yanka [14]
Represent 'a number' by x
7 times x equals 9 more than 4 times x
7 times x=9+4 times x
7x=9+4x
subtract 4x from both sides
3x=9
divide 3
x=3

the number is 3
5 0
3 years ago
Answer with Explanation please! Thank you!
Anna [14]

Answer:

The answer is D.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2( {q}^{2}  + r)

= 3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2 {q}^{2}  + 2r

Next you have to simplify by collecting like terms :

{r}^{3} +  3 {q}^{2}  + 2 {q}^{2}  + 5r + 2r - 8q

=  {r}^{3}  + 5 {q}^{2}  - 8q + 7r

6 0
3 years ago
Read 2 more answers
A. 12 <br> b. 14<br> c. 8<br> d. 6
jolli1 [7]

Answer:

  d.  6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

  PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

  7×12 = (3x)(7x)

  4 = x² . . . . . . . . . divide by 21

  2 = x . . . . . . . . . . take the square root

__

  PD = 3x = 3·2

  PD = 6

5 0
3 years ago
I need help ASAP!!!! I’ll Mark brainliest!!!!!
nalin [4]

I think its the first one (x+5,y+6)

8 0
3 years ago
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