Ask question

Ask question

All categories

3 years ago

14

What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/

3p + 1/6 = 7/10

1 answer:

Scorpion4ik [409]3 years ago

6 0

Let's solve your equation step-by-step.

-2/3p+ 1/6= 7/10

Answer:

p= -4/5

You might be interested in

Translate the following algebraic expression into a written expression 3x ^ 2 + 2y + 1/2

qaws [65]

Answer:

5

Step-by-step explanation:

5 0

4 years ago

What is the distance between (5,2) and (-3,4) on a coordinate plane

maksim [4K]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 5}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ -3}}\quad ,&{{ 4}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-3-5]^2+[4-2]^2}$

5 0

3 years ago

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

Marianna [84]

<em><u>Question:</u></em>

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

A. The slope of HI is 1/2.

B. The slope of EF is 1/2.

C. The slope of GH is –2.

C. The slope of DF is –2.

<em><u>Answer:</u></em>

The slope of HI is 1/2

The slope of EF is 1/2

<em><u>Solution:</u></em>

Given that,

Triangle DEF is congruent to right triangle GHI

Which means,

These pairs of angles are congruent

{D, G}, {E, H}, and {F, I}

In triangle DEF, E is a right angle

This means that the line segments $\overline{DE}\ and\ \overline{EF}$ are perpendicular.

We know that,

Product of slope of a line and slope of line perpendicular to that line is equal to -1

Given that,

Slope of DE = -2

$\text{ Slope of DE } \times \text{ slope of EF} = -1\\\\-2 \times \text{ slope of EF} = -1\\\\\text{ slope of EF} = \frac{1}{2}$

Since the sides EF and HI are congruent,

Slopes of parallel lines are equal

$Slope\ of\ HI\ = \frac{1}{2}$

Thus, Slope of HI is 1/2

3 0

3 years ago

Read 2 more answers

Mr. Brown's Thrift Shop Quarter of 2012 Profit (in dollars) 1 $9,841.28 2 $8,957.67 3 $7,429.84 4 $11,095.67 What is the differe

liq [111]

The difference between the first quarter and the third quarter is $2,411.44 because if you subtract the third quarter profits ($7,429.84 cents) from the first quarter profits (9,841.28 cents), you would get the difference which is $2,411.44 cents.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

the hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?

SIZIF [17.4K]

When a triangle is a 45-45-90 triangle, the following rules apply:

-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.

if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237.
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>

6 0

3 years ago