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3 years ago

Product of (5 + a) and ( -5 + a ) is ......

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

Answer:

a^2 - 25.

Step-by-step explanation:

(5 + a)(-5 + a)

= -25 + 5a - 5a + a^2

= a^2 - 25.

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The table shows the solution to the equation |2x − 3| − 1 = 2: Step 1 |2x − 3| = 2 + 1 Step 2 |2x − 3| = 3 Step 3 2x − 3 = 3 or

Ronch [10]

Step 1 is the correct answer because to begin solving you must add 1 to both sides of the equation

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3 years ago

PLZ help picture included

cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

$s=\frac{d}{t}$

The distance is equal to multiply the speed by the time

$d=st$

we know that

$18\ min=\frac{18}{60}\ hours$

The distance to his friend's house and the distance of return is the same

$10x=4(x+\frac{18}{60})$

solve for x

$10x=4x+\frac{18}{15}$

subtract 4x both sides

$10x-4x=\frac{18}{15}$

$6x=\frac{18}{15}$

$x=\frac{1}{5}\ hours$

The total distance of the round trip is

$y=10x+4x+\frac{18}{15}$

substitute the value of x

$y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}$

$y=2+2=4\ miles$

6 0

3 years ago

Draw clearly the graph of the linear equation. y=1/2x, where x= (-4 -2, 0, 2, 4)

aniked [119]

Answer:

(in attachment)

Step-by-step explanation:

you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.

When x=-4

y=1/2(-4)

y=-2

(-4,-2)

Repeat for all values.

6 0

2 years ago

142 students are going on a field trip. There will be six drivers, and two different types of vehicles. A bus can hold 51 people

otez555 [7]

Answer: 2 buses and 4 vans would be needed

Step-by-step explanation:

Let x represent the number of buses that would be needed.

Let y represent the number of vans that would be needed.

There will be six drivers, and two different types of vehicles. This means that

x + y = 6

142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that

51x + 10y = 142 - - - - - - - - - - - 1

Substituting x = 6 - y into equation 1, it becomes

51(6 - y) + 10y = 142

306 - 51y + 10y = 142

- 51y + 10y = 142 - 306

- 41y = - 164

y = - 164/ - 41

y = 4

x = 6 - y = 6 - 4

x = 2

8 0

3 years ago

An un known or changeable quantity is known as (an)???

Jobisdone [24]

Its called a variable

7 0

3 years ago

Product of (5 + a) and ( -5 + a ) is ......​

Product of (5 + a) and ( -5 + a ) is ......