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2 years ago

I need help on this one.

Mathematics

1 answer:

Flura [38]2 years ago

4 0

Answer:

1) 180 is a straight line, so 180 - 118 = 62

2) 180 degrees are in a triangle, so 180 - (62) - 73 = 45

3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = 86

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What is the solution to the following system of equations?

Semmy [17]

Answer:

(3,2)

Step-by-step explanation:

The system is

x + y = 5

x -y = 1

Add the equations to eliminate y

2x = 6----->x=3

Substitute this value in any equation

3+y = 5----->y=2

The solution is (3,2)

3 0

3 years ago

plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =

ElenaW [278]

Answer with Step-by-step explanation:

We are given that

$f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.$

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

$f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}$

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}$

$\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}$

Right hand limit =RHL when x> 2

Substitute

x=2+h

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}$

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

LHL=RHL= $\frac{1}{2}$

f(2)=1

$LHL=RHL\neq f(2)$

Hence, function is discontinuous at x=2

4 0

3 years ago

H E L P P L E A S E ! ! !

Strike441 [17]

1. The slope of the ramp is √145

2. The pitch of the roof is √10

3. The grade is the road is √ 10064

3 0

3 years ago

65 = 5 + 3/4c solve for c help pls

kozerog [31]

Answer:

c=80

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Perform the induced operation (-7x+1)+(- 2x2 + 7x + 8) =

eimsori [14]

Answer:

-2 $x^{2}$ + 9

Step-by-step explanation:

0 $x^{2}$ + (-7x) + 1

+ -2 $x^{2}$ + 7x + 8

-2 $x^{2}$ + 0x + 9

-2 $x^{2}$ + 9

8 0

3 years ago