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djyliett [7]
2 years ago
13

Determine the slope of the line that runs through points (-3,6) And (0,-8) using the slope formula.

Mathematics
2 answers:
nata0808 [166]2 years ago
5 0

Answer:

-14/3

Step-by-step explanation:

6 - (-8)       14

---------- = --------

-3 - 0         -3

Lesechka [4]2 years ago
4 0

\large\textsc{answer :}

Pls refer to "calculations" !

\large\textsf{\textbf{Calculations :}}

\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope \:formula : }\\ $\displaystyle\frac{y2-y1}{x2-x1} \\ \end{minipage}}

\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::} \\ $\displaystyle\frac{-8-6}{0-(-3)} \\ \end{minipage}}

Simplify as follows :

\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\:: }\\ $\displaystyle\frac{-14}{0+3}$ \end{minipage}}}

\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::}$-\displaystyle\frac{14}{3}$ \\ \end{minipage}}

\texttt{F}\textbf{I}\textsf{N}\pmb{A}\rm{L}\:\textsf{A}\textbf{N}\texttt{S}\rm{W}\sf{E}\mathbb{R}\::

\text{$-\displaystyle\frac{14}{3} $}

\small{\textsc{hope\:helpful~}

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Carlos and Michael are collecting baseball cards. Carlos has 85 and buys 10 more each week. Michael has 120 and receives 5 more
GarryVolchara [31]

Answer:

Michael and Carlos will have the same amount after 7 weeks

Step-by-step explanation:

Assume the total number of baseball cards that Carlos and Michael need to have to be equal is y, and the amount of time in terms of weeks that it will take for this to be achieved is x.

The following expressions can be derived

For Carlos to achieve y, he will need 85 and an addition of 10 per week (x):

y=85+(10x)..........equation 1

For Michael to achieve y, he will need 120 and an addition of 5 per week (x):

y=120+(5x)..........equation 2

Equating equation 1 and 2 to solve for x

85+10x=120+5x

10x-5x=120-85

5x/5=35/5

x=7

Number of weeks it will take Michael and Carlos to have the same amount=x=7 weeks

5 0
3 years ago
Help with number three!
natka813 [3]
1 hour and 35 minutes without the break. 60 minutes in an hour, subtract 15 from 50 = 35 minutes. It starts at 3 and ends at 4, which is 1 hour apart. Because there us a break you subtract 30 from the minutes , 35-30=5. So you have 1 hour and 5 minutes.
7 0
3 years ago
A cabinet door is 13 inches wide and has an area of 260 inches. Use the formula A=lw. How tall is the cabinet door?
klio [65]

Answer:

20

Step-by-step explanation:

260/13=20

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8 0
3 years ago
A building is 3 ft from an 8​-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t
zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ x=\sqrt{(13)^2+(11)^2}

⇒  x=\sqrt{(169+121)}

⇒ x= \sqrt{290}

⇒ x=17.02 feet

The length of the ladder = 17 feet to its nearest tenth.

6 0
3 years ago
Complete the table of values for the function f(x)=-x^2+8x-2
Kipish [7]

Answer:

f(1) = 7

f(2) = 18

f(3) = 31

f(4) = 46

f(5) = 63

f(6) = 82

f(7) = 103

f(8) = 126

f(9) = 151

f(10) = 178

Step-by-step explanation:

f(1) = (-1)^2+8(1)-2 = 7

Continue plugging in values...

6 0
2 years ago
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