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3 years ago

Please show your work

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

x=8

y=13

Step-by-step explanation:

This shape is a parallelogram, and in a parallelogram, the diagonals bisect eachother. So then, you can write to equations:

2x=y+3

x+5=y

This is equal to:

2x-y=3

x-y=-5

Then, you can subtract the two equations, making it:

2x-y=3

-x+y=5

Then the result will be:

x=8

Now that we know what x is, you can find y by plugging it in to either equation.

8-y=-5

-y=-13

y=13

Hope this was helpful!

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Fantom [35]

Answer:

B. $50

C. y=25x+50

D. $550

Step-by-step explanation:

B. (0, 50) y=50

C. y=mx+b y=25x+50

D. y=25(20)+50 y=500+50 y=550

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2 years ago

What is the area of a triangle with vertices (3,0) (9,0) (7,6)

Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (3,0) (9,0) (7,6). So

$A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|$

$A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)$

$A = \pm 0.5*(63-21)$

$A = \pm 0.5*42 = 21$

The area of the triangle is of 21 units of area.

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2 years ago

Lisa lives in Atlanta. She is going to a baseball game with her two sisters and her parents. They have $100 to spend. After they

9966 [12]

Not enough information. How much do the tickets cost?

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3 years ago

What is the answer for 7-2(8/2)+9

photoshop1234 [79]

$7-2( \frac{8}{2} )+9 =$

Remove parentheses:

$7-2* \frac{8}{2} +9 =$

$7 - 2 * 4 + 9 =$

$7 - 8 + 9 =$

$= -1 + 9$

$= 8$

hope this helps!

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2 years ago

You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an

Mila [183]

This question can be approached using the present value of annuity formula. The present value of annuity is given by $PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right)$ , where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

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Therefore, his monthly payment is $119.44

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3 years ago