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strojnjashka [21]
3 years ago
8

What is the coefficient of the second term of the trinomial? (6p + 2)^2 = 36p^2 + _________ p + 4

Mathematics
1 answer:
12345 [234]3 years ago
5 0

Let's do the actual algebra!

(6p + 2)^2 = (6p + 2)(6p + 2) = 36p^2 + 12p + 12p + 4 = 36p^2 + 24p + 4.

The coefficient of the 2nd term of the trinomial is 24.

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the line containing the altitude to the hypotenuse of a right triangle whose vertices are p(-1, 1), q(3, 5), and r(5, -5).
finlep [7]

The equation of the straight line is given by 5y-x=6

An equation can be used to describe a straight line drawn on the Cartesian Plane. These equations have a generic structure and can change based on the slope and where the line intersects the axes.

We will greatly simplify this issue by utilizing the fact that this triangle is specified as a right triangle. We would have had to establish the presence of a right angle if it had been presented as a general triangle.

The segment QR is the hypotenuse of the triangle.

Any side's altitude is located along a line that is perpendicular to that side. We are aware that the slopes of perpendicular lines are negative reciprocals, or:

Slope of line joining  Q(3, 5) and R(5, -5)

m=\frac{y_2-y_1}{x_2-x_1}

Hence slope is= -10/2= -5

Now we know that for two perpendicular line the slope of one line is the negative reciprocal of the other.

Slope of line perpendicular to QR=1/5

This line passes through P(-1,1)

Equation of the straight line that passes through (1,-1) and with a slope of 1/5 is given by:

(y-y_1)=m(x-x_1)\\

Substituting the values we get:

y-1=1/5(x+1)

or,5y-5=x+1

or,5y-x=6

Hence the equation of the required line is : 5y-x=6

To learn more about straight lines visit:

brainly.com/question/17757770

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8 0
2 years ago
A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its
Lady bird [3.3K]

Answer:

28m

7m/s

Step-by-step explanation:

sorry if it is wrong

4 0
3 years ago
You rent an apartment that costs
saul85 [17]
You need to multiply the two numbers. Or you can use long addition.
4 0
3 years ago
Read 2 more answers
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
Slav-nsk [51]

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

5 0
3 years ago
Which expression is equal to 3(5+6)? <br><br>A. 15 + 18 <br>B. 15 + 6<br>C. 5 + 18 <br>D. 3 + 11
NARA [144]
A. 15+18 is the correct answer by using distribution property
6 0
3 years ago
Read 2 more answers
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