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ankoles [38]
3 years ago
5

What is the value of p?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0

Step-by-step explanation:

a 43

hope it helps

your welcome

nadezda [96]3 years ago
3 0
P is going to equal 180- the supplements of the given numbers
P = 180-(90+47)
P=180-137=43
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Find the length of side x in simplest radical form with a rational denominator.
drek231 [11]

Step-by-step explanation:

\cos(30)  =  \frac{x}{ \sqrt{8} }  \\ x =  \sqrt{8}  \times  \cos(30)  = 2.45   =  \sqrt{6}

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2 years ago
Indicate the equation of the given line in standard form, writing the answer below.
scZoUnD [109]

Answer: y-\frac{11}{2}=6(x-2)

Step-by-step explanation:

For it to bisect the segment, we need to find the midpoint.

The midpoint is \left(\frac{-1+5}{2}, \frac{6+5}{2} \right)=\left(2, \frac{11}{2} \right).

Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the given segment is \frac{6-5}{-1-5}=-\frac{1}{6}, so the slope of the perpendicular bisector is 6.

Thus, the equation of the line in point-slope form is \boxed{y-\frac{11}{2}=6(x-2)}

4 0
2 years ago
Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4
lina2011 [118]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7

On simplifying both the expressions we get:

\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1

Compute the value of both expressions for <em>x</em> = 2 as follows:

\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27

The value of both expressions are same for <em>x</em> = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

6 0
3 years ago
−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br> ​
kvasek [131]

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0
3 years ago
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