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galben [10]
3 years ago
10

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete.

Mathematics
1 answer:
sergejj [24]3 years ago
5 0
I'll just factor the above equation.

x² + 18x + 80

x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10  Correct pair

(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80

x+8 = 0
x = -8

x+10 = 0
x = -10

x = -8

(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0

(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0

I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
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A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An
Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
h = \frac{650 tan(9)}{4-7 tan(9)}
h = 35.6
7 0
3 years ago
Write a point slope form equation and slope intercept equation. Passes through (-1,-6), slope= -4
zavuch27 [327]

Answer:

The point-slope form would be y + 6 = -4(x + 1) and the slope-intercept form would be y = -4x - 10

Step-by-step explanation:

In order to find the point-slope form, you simply need to put the point and the slope into the base form.

y - y1 = m(x - x1)

y - -6 = -4(x - -1)

y + 6 = -4(x + 1)

Now to find the slope-intercept, simply solve for y.

y + 6 = -4(x + 1)

y + 6 = -4x - 4

y = -4x - 10

3 0
3 years ago
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar if Lynn exchanges 4,000 pesos for US do
tia_tia [17]

Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.

<h3>What is unit conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,

19 pesos = 1 dollar

1 pesos = 1/19 dollar

if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,

4,000 pesos = 4000/19 = 210.53 dollars

Hence,  the approximate value in US dollars is $210.53.

Learn more about Units conversion:

brainly.com/question/4736731

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3 0
2 years ago
Find the slope of the line that contains the points:
Semenov [28]

Answer:

slope is 1

Step-by-step explanation:

5-3/-4--6 = 2/2 = 1

5 0
3 years ago
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5x + 3(1 – 2) = 2(x – 3) + 5
adell [148]

Answer:

x= 2/3

Step-by-step explanation:

5 0
3 years ago
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