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3 years ago

Is a -2/3 a integer?Is it also a rational number?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

No it’s not a rational number

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A=1/2h(a+b) <br> what is h

Ilya [14]

Answer:

$h = \frac{2 A}{(a + b)}$

Step-by-step explanation:

$A = \frac{1}{2} h(a + b) \\ \\2 A = h(a + b) \\ \\ \frac{2 A}{(a + b)} = h \\ \\ \huge \red{ \boxed{h = \frac{2 A}{(a + b)} }}$

6 0

4 years ago

2a - b = ac + 3b for a

DaniilM [7]

Answer:

If your trying to solve for a, I believe this is the answer: a = 4b / (2 - c)

Step-by-step explanation:

2a - b = ac + 3b

First you want to group by like terms, so for "b" you are going to add "b" to both sides so that it cancels out on the left side and you now have all of your "b's" on the right.

2a = ac + 4b

next, you want to get the a's on the left side so you are going to subtract "ac"

2a - ac = 4b

Now, you need to factor the "a" out, and since its the greatest common factor among the "2a - ac" you are left with "a(2 - c)"

a(2 - c) = 4b

Finally divide both sides by "(2 - c)"

a = 4b / (2 - c)

and that's your answer

4 0

3 years ago

help if possible? Write x2 - 2x - 3 = 0 in the form (x - a)2 = b, where a and b are integers. (4 points) (x - 4)2 = 3 (x - 3)2 =

bearhunter [10]

$x^2-2x-3=0 \\
(x^2-2x+1)-1-3=0 \\
(x-1)^2-4=0 \\
\boxed{(x-1)^2=4}$

6 0

4 years ago

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)

Ann [662]

If $x=0$ , then $y=a\cdot0^2+b\cdot0+c=5$ , so $c=5$ .

If $x=1$ , then $y=a\cdot1^2+b\cdot1+c=2$ , so $a+b+5=2$ or $a+b=-3$ .

If $x=2$ , then $y=a\cdot2^2+b\cdot2+c=1$ , so $4a+2b+5=1$ or $2a+b=-2$ .

We have

$a+b=-3\implies -a-b=3$

$(2a+b)+(-a-b)=-2+3$

$\implies a=1\implies b=-4$

So we end up with

$a+b+c=1+(-4)+5=\boxed{2}$

7 0

3 years ago

Find the measurement indicated. Round your answers to the nearest tenth. Use Law of Sines or Cosines

tatuchka [14]

Answer:

5. 34°

6. 29.7

Step-by-step explanation:

5. Using sine law

25/sin(93) = 14/sin(C)

sin(C) = 0.5592325395

C = 34.00273934°

6. Using cosine law

AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)

AC² = 880.507229

AC = 29.67334206

3 0

4 years ago

Read 2 more answers