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kap26 [50]
3 years ago
9

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to b=2\sqrt{2}.

In a 45-45-90 triangle, the hypotenuse is equal to x\sqrt{2} this means in order to find missing side length a, we have to multiply (2\sqrt{2})(\sqrt{2}) this will give us 4

so the missing side lengths are, b=2\sqrt{2} and a=4

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Is it possible to solve a quadratic equation that is not factorable over the set of integers? Explain.
zvonat [6]

Answer:

Yes

Step-by-step explanation:

Yes it is possible to solve a quadratic equation that is not factorable over the set of integers.

The solution may vary like Integers, rationals, irrationals or complex solutions.

To find two roots of the equation we can always use the formula given below to solve a quadratic equation,

For the quadratic equation,

ax^2+bx+c=0, we have,

x= \frac{-b\pm \sqrt{b^2-4 ac}}{2a}

If the discriminant is greater than b^2, we get complex roots.

8 0
3 years ago
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200
GenaCL600 [577]
We know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

Let 

A------> Lincoln, NE

B------> Boulder, CO

C------> third city


we know that

in the triangle ABC

AB=500 miles

BC=200 miles

AC=x


Applying the Triangle Inequality Theorem

1) 500+200 > x------> 700 > x------> x < 700 miles

2) 200+x > 500----> x > 500-200------> x > 300 miles


the solution for x is 

300 < x < 700

the interval is------> (300,700)

the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
6 0
3 years ago
Read 2 more answers
The perimeter of a rectangular field is 264 yards. If the width of the field is 54 yards, what is its length?
SIZIF [17.4K]
P = 2(L + W)
P = 264
W = 54

264 = 2(L + 54)
264 = 2L + 108
264 - 108 = 2L
156 = 2L
156/2 = L
78 <=== Length is 78 yards
7 0
3 years ago
Read 2 more answers
If that is = a, find the value of a + 1 over a<br><img src="https://tex.z-dn.net/?f=3%20-%20%20%5Csqrt%7B5%7D%20" id="TexFormula
Doss [256]

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

6 0
3 years ago
Write in slope intercept form:<br> (-5,-11) and (-2,1)
slavikrds [6]

Answer:

4

Step-by-step explanation:

The equation to find the intercept is  m = y2 - y2 / x2 - x1

If we plus in the values the equation would be 1 + 11 / -2 - 5

Solve form there and you get:  m = 4

Therefore the answer is 4.

8 0
4 years ago
Read 2 more answers
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