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2 years ago

1.3M+5L+7L-19L-L+7M-M 2.Q-L-2Q+3L-5Q+B-3B PLEASE I NEED THE ANSWER ASAP

Mathematics

1 answer:

valentinak56 [21]2 years ago

6 0

-628/92+87m=3b

-727/728

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0

2 years ago

What is the distance between (4,7) and (2,2)?

algol [13]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 4}}\quad ,&{{ 7}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(2-4)^2+(2-7)^2}\implies d=\sqrt{(-2)^2+(-5)^2}
\\\\\\
d=\sqrt{4+25}\implies d=\sqrt{29}$

7 0

2 years ago

I need EXTREME HELP PLEASE

elena55 [62]

Answer:

8 months

Step-by-step explanation:

194-3m = 217-6m

3m = 23

m=7.666666..... (8 months

6 0

2 years ago

Miss Holman gave a 90-cent tip to a waitress for serving a meal costing $6.00. What percent of the bill was her tip?

horsena [70]

15% of the bill was her tip.

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3 years ago

Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of

icang [17]

Answer:

288,40 $

Step-by-step explanation:

25,80$ / month * 48 months = 1238,40$ total payment.

1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.

4 0

2 years ago