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3 years ago

What is the slope of a line is parallel to y equals (1/2)x+3

Mathematics

1 answer:

stich3 [128]3 years ago

8 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$y = \frac{1}{2}x + 3 \\ equating \: it \: with \: \\y = mx + b \\ slope \: (m) = \frac{1}{2} \\ \because \: \parallel \: lines \: have \: same \: slope \\ \therefore \: slope \: of \: line \: \parallel \: to \: given \: line = \frac{1}{2}$

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How do you find the square root of -24 by simplifying

algol [13]

Answer:

you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.

8 0

3 years ago

What is the rate of increase for the function f(x) =1/3 (3/24)^2x

KengaRu [80]

Answer:

d sorry if it isn't

Step-by-step explanation:

6 0

3 years ago

The area of an 14-cm-wide rectangle is 322 cm2. What is its length? The length is cm.

Anika [276]

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}$

$\begin{gathered}\end{gathered}$

SOLUTION :

Here's the required formula to find the length of rectangle :

${\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}$

A = Area
l = length
b = breadth

Substituting all the given values in the formula to find the length of rectangle :

$\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}$

Hence, the length of rectangle is 23 cm.

$\begin{gathered}\end{gathered}$

LEARN MORE :

$\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}$

$\rule{300}{2.5}$

6 0

2 years ago

Read 2 more answers

Select the correct choices to complete the sentence. Three drivers competed in the same fifteen drag races. The mean and standar

sweet [91]

Answer:

<h2> Driver B has the fastest race time</h2>

Step-by-step explanation:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given (3.96) for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

4 0

4 years ago

Select the expression that has a value of 96.45

leonid [27]

Given:

Number is 96.45.

To find:

The expression that has a value of 96.45.

Solution:

In option a,

$0.9645\times 10^2=0.9645\times 100$