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3 years ago

(02.07 HC)

Mathematics

1 answer:

Over [174]3 years ago

7 0

The answers are shown in the image. Hope this helps

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How do I solve (4x+1)(x-5)=-43x-41

AfilCa [17]

Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing

4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides

4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0

x+3=0
x=-3

x=-3 is answer

8 0

2 years ago

you buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. after using a $10 gift card, how much do you owe

jek_recluse [69]

Depends on how much the items each cost.

7 0

3 years ago

Find the slope of DE and FG

Pavlova-9 [17]

Answer:

Part 1) The slope of DE is $m=\frac{c}{a+b}$

Part 2) The slope of FG is $m=\frac{c}{a+b}$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of DE

we have

D(-a-b,c) and E(0,2c)

substitute in the formula

$m=\frac{2c-c}{0-(-a-b)}$

$m=\frac{c}{a+b}$

step 2

Find the slope of FG

we have

F(a+b,c) and G(0,0)

substitute in the formula

$m=\frac{0-c}{0-(a+b)}$

$m=\frac{-c}{-(a+b)}$

Simplify the sign minus

$m=\frac{c}{a+b}$

Note The slope of DE is equal to the slope of FG. therefore DE and FG are parallel

7 0

2 years ago

HELP PLEASE PLEASE!!!

AnnZ [28]

Answer:

im in online school

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The figure below shows a shaded rectangular region inside a large rectangle:

pshichka [43]

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in) Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in) Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

5 0

3 years ago