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puteri [66]

3 years ago

s 2 {?}^{2} " alt="(7 - 8) \times 2 {?}^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

The correct answer is -4x

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Is it possible for two vertical angles to also be complementary angles? Explain why or why not. If so, find the measure of these

enot [183]

Vertical angles are congruent. Complementary angles add to 90 degrees. So if the vertical angles are each half, 45 degrees, they'll be congruent and complementary.

Answer: 45 degrees

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3 years ago

Your puppy weighed 2 1/2 lb last week. This week it weighs 7 1/4lb. How much weight has the puppy gained? A) 9 3/4 B) 3/4 C) 4 3

jonny [76]

Hello!

You have to subtract 7 1/4 and 2 1/2. First change both to a common denominator to make it easier.

Common denominator: 4

$2 \frac{1}{2} = 2 \frac{2}{4}$

$7\frac{1}{4} = 7\frac{1}{4}$

$7 \frac{1}{4} - 2 \frac{2}{4} = 6\frac{5}{4} - 2 \frac{2}{4} = 4 \frac{3}{4}$

Answer ⇒ $4 \frac{3}{4}$

6 0

3 years ago

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Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave

ipn [44]

Here all the given equations are in the form of

$ax^2+bx+c=0$

The value of $x$ can be determined by the perfect square method as follows:

$ax^2+bx+c=0$

$\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0$

$\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0$

$\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}$

$\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)$

Now, for $x^2+3x-4=0$

$a=1, b=3, c=-4$

So, from equation (i)

$x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}$

$\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}$

$\Rightarrow x=\frac{3\pm5}{2}$

$\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}$

$\Rightarrow x= 4, -1$

Similarly, for $9x^2+12x+4=0$

$a=9, b=12, c=4$

So, from equation (i)

$x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}$

$\Rightarrow x=\frac{-12\pm0}{18}$

$\Rightarrow x=\frac{-2}{3}$

For $x^2-2x-3=0$

$a=1, b=-2, c=-3$

$x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}$

$\Rightarrow x=\frac{2\pm\sqrt{16}}{2}$

$\Rightarrow x=\frac{2\pm4}{2}$

$\Rightarrow x=\frac{6}{2},\frac{-2}{2}$

$\Rightarrow x=3.00, -1.00$

For $x^2-6x+9=0$

$a=1, b=-6, c=9$

$x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}$

$\Rightarrow x=\frac{6\pm0}{2}$

$\Rightarrow x=3.00$

For $2x^2-4x-3=0$

$a=2, b=-4, c=-3$

$x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}$

$\Rightarrow x=\frac{4\pm\sqrt{40}}{4}$

$\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}$

$\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}$

$\Rightarrow x=2.58, -0.58$

5 0

4 years ago

A woman who weighs 160 pounds on earth weighs 30 on the moon. If a boy weighs 60 pounds on earth , how much dose he weigh on the

Igoryamba

60Kg. Mass does not vary by the strength of the gravitational field. What changes is the weight which will only be about one-sixth of what it is on Earth. So a 60Kg mass on the Moon would weigh approximately the same as a 10Kg mass on the Earth.

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2 years ago

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Annabelle uses 15 cups of orange juice when she makes fruit punch. Each pitcher of punch contains 154 cups of orange juice. How

lbvjy [14]

154/15=10.2666666667, which would round to 11 pitchers.

8 0

3 years ago