1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
damaskus [11]
3 years ago
11

How do you solve all of these ?

Mathematics
1 answer:
Flura [38]3 years ago
4 0
5)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 5}}\quad ,&{{ -3}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies -1
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-3)=-1(x-5)
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y+3=-x+5\implies y=-x+2

6)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 2}}\quad ,&{{ 1}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 3
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-1=3(x-2)
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-1=3x-6\implies y=3x-5

7)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 5}}\quad ,&{{ 2}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 0
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=0(x-5)
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-2=0\implies y=2

8)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ -2}}\quad ,&{{ 0}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-0=\cfrac{5}{2}(x-(-2))
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=\cfrac{5}{2}(x+2)\implies y=\cfrac{5}{2}x+5

9)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ -2}}\quad ,&{{ 0}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-0=\cfrac{5}{2}(x-(-2))
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=\cfrac{5}{2}(x+2)\implies y=\cfrac{5}{2}x+5

10)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{-2}}\quad ,&{{ -2}})\quad 
%   (c,d)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-2)=\cfrac{3}{2}(x-(-2))
\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y+2=\cfrac{3}{2}(x+2)\implies y+2=\cfrac{3}{2}x+3\implies y=\cfrac{3}{2}x+1
You might be interested in
Write the expression as a whole number with a negative exponent. Do not evaluate the expression.
WINSTONCH [101]

Answer: \frac{1}{3^6}=3^{-6}

Explanation: Denominators of a fraction can be equivalently written as their value to the power of negative 1. In this case the denominator expression itself  has an exponent of 6, which taken to the power of negative one becomes -6:

\frac{1}{3^6}=(3^6)^{-1}=3^{6(-1)}=3^{-6}

5 0
3 years ago
Read 2 more answers
A pipe that's 36 inches long needs to be cut into 2 and one forth inches long pieces. how may pieces can be cut from this length
PolarNik [594]
16 pieces may be cut. This is because we need to divide 36 by 2 and 1/4 to find how many pieces hat can be cut. First, we need to change everything into a fraction (or improper fraction). 2 and 1/4 = 9/4 (if you need help trying to find out how to get this, just ask). Then, since we are doing division, we flip the 9/4 around to get 4/9. 36 times (it's not dividing anymore since we flipped the 9/4) 4/9 = 16 pieces. I hope this helps! :D
7 0
3 years ago
Which of the following best defines 42/3
Eduardwww [97]
42 divided by 3 is 14
42 over 3 is a whole number of 14
5 0
3 years ago
1,000f= 4,135.135135... <br> what is the answer in fraction form?
lilavasa [31]
1/4 is the fraction form
8 0
2 years ago
Read 2 more answers
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°. What is the approxima
Olin [163]

The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

Length of the arc of a circle:

s = 7.34 units

The measure of central angle:

θ = 81 degrees =  1.413 radians

s = rθ

r is the radius of the circle

7.34 = r(1.413)

r = 5.19 ≈ 5.2 units

Thus, the radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

6 0
1 year ago
Other questions:
  • Which sphere has a volume of approximately 113.1 cubic inches?
    14·2 answers
  • Solve The Complex Number System<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-125%3D0" id="TexFormula1" title="x^{3}-125=
    13·1 answer
  • What is 3/4 times 3/13 in simplest form?
    11·2 answers
  • Marcy left for school and felt like running. She ran for a while and then stopped to rest. After resting, she walked the rest of
    15·1 answer
  • What answer is this If m = 70° and m = 30°, then m 2 =
    5·1 answer
  • Select the correct answer. What is 2 1/2 divided by 1/3? A. 3 1/2 B. 7 1/2 C. 7 1/6 D. 2/15
    10·2 answers
  • Can someone help me pls
    9·1 answer
  • 3 2/3 + 2 3/5 + x = 8
    9·1 answer
  • The graph is of a function in the form p(t) = a x b^t what is the function?
    5·1 answer
  • A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!