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Aleks04 [339]
3 years ago
8

In exercises 21 through 24 is it possible to construct a triangle if the given side lengths? If not explain why.

Mathematics
1 answer:
sattari [20]3 years ago
7 0
26jshshsgsgwgwhhwhwhwgehehhrhee
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Which two values of x are roots of the polynomial below? x^2-3x+5
Gemiola [76]

Given:

Polynomial x^2-3x+5

To find:

The values of x.

Solution:

x^2-3x+5=0

Quadratic equation formula:

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

Here a=1, b=-3, c=5.

Substitute the values in the formula, we get

$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}

$x=\frac{3 \pm \sqrt{9-20}}{2}

$x=\frac{3 \pm \sqrt{-11}}{2}

$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}

Option E and option F are the roots of the polynomial.

The values of x are x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}.

7 0
3 years ago
A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s
AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

6 0
3 years ago
3(2+q)+153(2+q)+15 simplified is
blondinia [14]
6 + 3q + 306 + 153q + 15
156q + 327
8 0
3 years ago
Please help me. This is so confusing.
MrMuchimi
<span>
The vertices of a polygon are given as follows: P(-2,4), Q(4,2), R(4,0); S(-12,0); k = 0.5 Find the coordinates of the vertex P' of the image after a dilation having the given scale factor. Type your answers as a coordinate pair in this format: (x,y)</span>
6 0
3 years ago
Read 2 more answers
Determine both the x and y intercepts. Please help! Will mark brainliest!
Mademuasel [1]

Answer:

y-intercept: (0, 2.5)

x-intercept: (1.67, 0)

Step-by-step explanation:

Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.

2y = -3x + 5

y = -3/2x + 5/2

From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).

To get the x-intercept, substitute 0 for y.

0 = -3/2x + 5/2

3/2x = 5/2

3x = 5

x = 5/3

So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).

Hope this helps!

3 0
3 years ago
Read 2 more answers
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