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3 years ago

11

The sign of the product of 2 integers with the same sign is positive. what is the sign of the product of 3 integers with the sam

e sign

1 answer:

klemol [59]3 years ago

6 0

Product of 3 negatives equals a negative answer
Product of 3 positives equals a positive answer

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Factor completely and then place the factor. in the proper location on the grid (4x-+3)(-2x-5)

Ivahew [28]

Yay, love these ones.

First of all, (4x-+3)(-2x-5) is the same as (4x-3)(-2x-5)
So the method for solving these can be remembered by FOIL.
F= Firsts O= Outsides I= Insides L= Lasts

In other words everything is multiplied by everything, for example:
4x * -2x and -3 * -5 <span>is the firsts of the brackets multiplied and last of the brackets mulitplied
</span>
4x * -5 and 3 * -2x is the outsides of the brackets multiplied and the insides of the brackets multiplied
<span>
The SUM of FOIL is then added:</span><span>
</span><em>4x*-2x = -8x^2</em>
<em>-3*-5= 15</em>
<em>4x*-5=-20x</em>
<span><em>3*-2x=-6x</em>
</span><span>-8x^2 -20x -6x + 15 = 0
-8x^2 -26x + 15 = 0

So the factored of (4x-3)(-2x-5) <u /><em>=</em> -8x^2 -26x + 15 = 0

So then you graph that equation on your given grid

</span>

8 0

3 years ago

What's 5 - the square root of x + 10 = the square root of 7 - x

Tcecarenko [31]

$\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\
$

$\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
\\\\\\
\begin{array}{lcclll}
x^2&+3x&-54&=0\\
&\uparrow &\uparrow \\
&-6+9&-6\cdot 9
\end{array} \implies (x+9)(x-6)=0\implies 
\begin{cases}
x+9=0\\
\boxed{x=-9}\\
-----\\
x-6=0\\
\boxed{x=6}
\end{cases}$

3 0

3 years ago

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

<span>The complete question is shown in the attached image

<u><em>Answer:</em></u>
measure angle H = 42</span>°<span>

<u><em>Explanation:</em></u>
<u>There is a theorem that states that:</u>
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

<u>In the given, we have:</u>
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

<u>Based on the above rule:</u>
measure angle E = measure angle D + measure angle H

<u>We are given that:</u>
angle E = 87</span>°<span>
angle D = 45</span>°<span>

<u>Substitute with the givens in the above rule and solve for the measure of angle H as follows:</u>
angle E = angle D + angle H
87</span>°<span> = 45</span>°<span> + measure angle H
measure angle H = 87</span>°<span> - 45</span>°<span>
measure angle H = 42</span>°<span>

Hope this helps :)</span>

3 0

3 years ago

If you convert 2 kilometers to meters, will the converted amount have more or fewer units than the original?

Alja [10]

Answer: more units, because you’re converting it to smaller parts which means there are more parts

King (kilo)

Henry (hecto)

Died (deca)

Unusually (unit)

Drinking (deci)

Chocolate(centi)

Milk (milli)

6 0

2 years ago

Read 2 more answers

Tanya finds 22 leaves Maurice finds 5 more leaves than Tanya finds how many leaves do the two children find

Mila [183]

Answer:

22 + 27 = <u><em>49</em></u>

<u><em></em></u>

:) :)

8 0

3 years ago

Read 2 more answers