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mr Goodwill [35]
3 years ago
8

A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is ____

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

Answer:

y=-2x+3

Step-by-step explanation:

equation for slope is y=mx+b

the slope is -2 so that equals m

(0,3) is the y-intercept

y=b

3 is the y value making it substitute b making the equation y=-2x+3

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Plz help me im timed i need help​
Fittoniya [83]

Answer:

Step-by-step explanation:

Its x= 30

8 0
3 years ago
Read 2 more answers
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
dolphi86 [110]

Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

8 0
2 years ago
Read 2 more answers
FIND THE MEDIAN OF THE DATA SET3,35,23,37,45,49,27,48<br> A.35<br> B.34<br> C.30.2<br> D.38
mojhsa [17]

Answer:

A. 35

Step-by-step explanation:

The median of a data set is the middle value when the data values are placed in order of size.

<u>Given data set</u>:

  • {3, 35, 23, 37, 45, 5, 49, 27, 48}

Place the data in <u>order of size</u>:

  • {3, 5, 23, 27, 35, 37, 45, 48, 49}

To find the median, divide the total number of data values (n) by 2.

  • If n/2 is a whole number, the median is halfway between the values in this position and the position above.
  • If n/2 is not a whole number, round it up to find the position of the median.

As there are 9 data values, the median value is:

\implies \dfrac{9}{2}=4.5 \implies \sf 5th\;value

Therefore, the median of the given data set is 35.

4 0
1 year ago
Read 2 more answers
1500/semiannual period for 6 years at 2.5%/year compounded semiannually
kari74 [83]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1500\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannual, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500\left(1+\frac{0.025}{2}\right)^{2\cdot 6}\implies A=1500(1.0125)^{12}\implies A\approx 1741.13

6 0
3 years ago
Find the next three terms.<br><br> 243, -81, 27, -9...
Katarina [22]

Hi there!


To find the answer, you divide one of the numbers by 3, and some others by -3.


I can show you how to do so! :D


243 ÷ -3 = -81

-81 ÷ 3 = 27

27 ÷ 3 = 9

Next three terms -

9 ÷ 3 = 3

3 ÷ 3 = 1

1 ÷ 3 = 0.3333, the 3 is repeating over and over again


I think this is the answer, based off my notes :)


That's your pattern!


Hope this helps!

Message me if you need anything else, I'd be happy to answer any other questions! :D

4 0
3 years ago
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