Write the point slope form of the equation of the line through the given points

Emma has saved £1.35 in 5p coins. How many 5p coins does Emma have?

KengaRu [80]

imagine 135/5

which = 27

Emma has 27 of her 5 pence coins

3 0

3 years ago

Read 2 more answers

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

3 years ago

AAAAAAAAAAA 65 points please help

nata0808 [166]

Answer:

The distance between E and F is 5 units

Step-by-step explanation:

E and F are share the same y-coordinates. So for this part it is okay to not use the distance formula. 

So you will be having:

E (5,8) and F (5,3)

EF = 8-3=5

OR 

YOU CAN USE THE DISTANCE FORMULA AS INDICAYED IN THE PICTURE.

Hopefully the picture is clear and understandable and younger the explanation.

4 0

3 years ago

Hi can someone help me ty happy holiday days

earnstyle [38]

Answer:

128 , 512, 2048

Step-by-step explanation:

5 0

3 years ago

Asapppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

svp [43]

Answer: x = 148 degrees

Step-by-step explanation:

This problem makes use of Supplementary Angles. Supplementary Angles states that two angles that make up a line add to 180. Thus, simply use the equation 32 + x = 180

x = 148

Hope it helps <3

5 0

3 years ago