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2 years ago

Help I have until 6:00 pm EST to solve this and its 3:41 pm :problem below

Mathematics

1 answer:

prisoha [69]2 years ago

3 0

Answer:

5 1/5 is rational, because it can be written as a fraction.

Step-by-step explanation:

All rational numbers are numbers that can be written as a fraction. We can make 5 1/5 into an improper fraction. 5 1/5 = 26/5.

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Find a point on the y-axis that is equidistant from the points (8, −8) and (1, 1).

artcher [175]

$\text{We know that any point on the y-axis is of the form (0, y),}\\
\text{because on y-axis we have x=0.}\\
\\
\text{So let (0, y) be the point on the y-axis that is equidistance from}\\
\text{the points }(8,-8) \text{ and }(1,1)\\
\\
\text{so using the distance formula, we have}\\
\\
\text{Distance between (0, y) and }(8,-8)=\text{Distance between (0,y) and }(1,1)\\
\\
\Rightarrow \sqrt{(0-8)^2+(y-(-8))^2}=\sqrt{(0-1)^2+(y-1)^2}$

$\Rightarrow \sqrt{64+(y+8)^2}=\sqrt{1+(y-1)^2}\\
\\
\text{Squaring both sides, we get}\\
\\
(\sqrt{64+(y+8)^2})^2=(\sqrt{1+(y-1)^2})^2\\
\\
\Rightarrow 64+(y+8)^2=1+(y-1)^2\\
\\
\Rightarrow 64+(y^2+16y+64)=1+(y^2-2y+1)\\
\\
\Rightarrow y^2+16y+128=y^2-2y+2\\
\\
\Rightarrow y^2+16y-y^2+2y=2-128\\
\\
\Rightarrow 18y=-126\\
\\
\Rightarrow y=\frac{-126}{18}\\
\\
\Rightarrow y=-7$

So the point on the y-axis that is equidistant from the points (8,-8) and (1,1) is: (0,-7)

3 0

4 years ago

wes is pouring himself some ketchup to eat with his patato wedges is it resonable to say that wes will need 2 fluid ounces

CaHeK987 [17]

Yes. A fluid ounce for example is like a medicine cup, small

5 0

4 years ago

Read 2 more answers

The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Stella [2.4K]

Answer:

$\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}$

Step-by-step explanation:

$\star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}$

$\star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}$

$\star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}$

$\boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}$

$\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}$

$\text{Step \: 1 : \: Collect \: like \: term}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}$

$\hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}$

$\hookrightarrow{ \sf{2(5x - 5 + 4)}}$

$\text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}$

$\text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}$

$\hookrightarrow{ \sf{2(5x - 1)}}$

$\text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}$

$\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}$

$\hookrightarrow{ \sf{10x - 2}}$

$\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}$

$\text{Hope \: I \: helped !}$

$\text{Best \: regards ! }$

~ $\text{TheAnimeGirl}$

5 0

3 years ago

What is the solution of the proportion 14/12=d/48

swat32

Cross multiplication is applied here.

7 0

3 years ago

Read 2 more answers

How do you change a fraction into a decimal

kirill115 [55]

You want to get the <span>denominator (bottom) of the fraction to a number such as 10, 100 or 1,000. Then you are able to change the fraction into a decimal by having the decimal point and the number afterwards, for example: 1/5=2/10, 2/10=.2.</span>

7 0

3 years ago

Read 2 more answers