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2 years ago

Find the slope of the line graphed below.

Mathematics

1 answer:

RUDIKE [14]2 years ago

3 0

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5-2}{2-(-2)}$

$m=\dfrac{3}{2+2}$

$m=\dfrac{3}{4}$

Therefore, the slope of the given graphed line is $m=\dfrac{3}{4}$ .

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Write and solve an inequality for the following sentence: Jan has saved $50 in her saving account and needs to save at least $26

Juliette [100K]

50 + x ≥ 268

X ≥ 218

STEP BY STEP WORK

50 + x ≥268
-50 -50

x ≥218

Jan needs to save at least $218 for camp

Hope I helped :)

8 0

3 years ago

Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below th

Natali5045456 [20]

Answer:

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6 0

3 years ago

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draw a new location of the pole barn on the graph below. Note that the stock tank is located at the origin.

krok68 [10]

Answer:

i think you reflect across the axis

Step-by-step explanation:

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3 years ago

Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

$\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714$

6 0

2 years ago

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Can someone find r please

katrin2010 [14]

Answer:

$r = 3 \times \sqrt{2}$

Step-by-step explanation:

The area of the square is 36.

A = s^2

36 = s^2

s = sqrt(36)

s = 6

The side of the square has length 6.

All sides of a square are congruent, so all sides have length 6.

If you extend segment JO to point L, you end up with segment JL which is a diameter of the circle and the diagonal of the square. We can use the Pythagorean theorem using two sides if the square as legs and the diagonal of the square as the hypotenuse of a right triangle.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

$c = \sqrt{72}$