3 years ago

Solve the following system of equations. -3x + 4y = 64 x + 4y = 32

Mathematics

1 answer:

seraphim [82]3 years ago

8 0

Im at math but let me spit some game tjotty tjoott I knew short was a tjottrh

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Trapezoid QRST has two right angles. A 5-in.altitude can be drawn dividing QRDT into a rectangle and an isosceles right triangle

Vika [28.1K]

Answer:

The area of the trapezoid is 57.5 square inches

Step-by-step explanation:

we know that

The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD

see the attached figure to better understand the problem

step 1

The area of rectangle is given by the formula

$A=((QR)(RD)$

we have

$RD=5\ in$ ----> altitude

$QR=9\ in$

substitute

$A=((9)(5)=45\ in^2$

step 2

Find the area of the isosceles right triangle

The area of triangle is given by the formula

$A=\frac{1}{2}(RD)(DS)$

we have

$RD=DS=5\ in$ ---> because is an isosceles triangle

substitute

$A=\frac{1}{2}(5)(5)=12.5\ in^2$

step 3

Adds the areas

$A=45+12.5=57.5\ in^2$

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Janine,who brought 15$ worth of make up, spent 6$ less than leah spent

Aneli [31]

Janine = J = 15
Leah = L = ?

L = J + 6
L = 15 + 6
L = 21

So Leah spent $21

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3 years ago

What is the value of the expression x + (–y) when x = –2.3 and y = –5.9?

kramer

X + (-y) = -2.3 + ( - (-5.9) ) = -2.3 + 5.9 = 3.6

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3 years ago

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Work out the percentage change to 2 decimal places when a price of £198 is decreased to £160.

hram777 [196]

Answer:

p ≈ 19.19 %

Step-by-step explanation:

198 - p×198/100 = 160

19800 - 198p = 16000

19800 - 16000 = 198p

3800 = 198p

p = 19.19 %

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3 years ago

I need help with this one

zzz [600]

Answer:

-33 -32 = - 65

3 - (-7) = 10

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