All categories

3 years ago

Why is subtracting an expression similar to distributing a –1? Use the drop-down menus to explain your answer.

Mathematics

1 answer:

anygoal [31]3 years ago

8 0

Answer:

When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.

e.g.

a(x + y) = ax + ay

In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.

(a + b) - (c + d) ≡ (a + b) + -1(c + d)

And so the negative one is distributed across the terms within the brackets.

You might be interested in

PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)

vekshin1

Answer: -1

Step-by-step explanation:

To find the slope fo the line with the given points, you use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1$

Now, we know that the slope is -1.

7 0

3 years ago

6) Two boats set off from X at the same

lord [1]

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = $\frac{distance}{time}$

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

= 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

= 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

$a^{2}$ = $b^{2}$ + $c^{2}$ - 2bc Cos A

$x^{2}$ = $45^{2}$ + $35^{2}$ - 2(45 x 35) Cos $90^{o}$

= 2025 + 1225 - 3150 (0)

= 3250

x = $\sqrt{3250}$

= 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

4 0

3 years ago

ANOTHER FILL IN THE BLANKS QUESTION, MARKING BRAINLIEST FOR CORRECT ANSWER

Mamont248 [21]

Hi, again!
First blank: multiplication property of equality
Both sides of the equation were multiplied by (1/2).

Second blank: m<E
Angle E is an inscribed angle intercepting arc FGD, so by the inscribed angle theorem, its measure is half the measure of the arc.

Third blank: m<G
Same explanation as the prior blank

Fourth blank: substitution property of equality
Since angle E is equal to half the measure of arc FGD, we can replace that term. Likewise with angle G.

3 0

3 years ago

A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. T

olya-2409 [2.1K]

Answer: the cost of a tent is $45

the cost of a sleeping bag is $35

the cost of a camp stool is $5

Step-by-step explanation:

Let x represent the cost of a tent.

Let y represent the cost of a sleeping bag.

Let z represent the cost of a camp stool.

A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. It means that

x + 3y + 4z = 170- - - - - - - - - - - - - - -1

The price of the tent is 9 times the cost of a camp stool. It means that

x = 9z

The cost of a sleeping bag is $30 more than the cost of a camp stool. It means that

y = z + 30

Substituting x = 9z and y = z + 30 into equation 1, it becomes

9z + 3(z + 30) + 4z = 170

9z + 3z + 90 + 4z = 170

9z + 3z + 4z = 170 - 90

16z = 80

z = 80/16

z = 5

y = z + 30 = 5 + 30

y = 35

x = 9z = 9 × 5

x = 45

7 0

3 years ago

Read 2 more answers

Help me, please !! For a reason, Tony took 1/3 his money for book and then he took 1/5 again for beer. And now tony have 28$, ho

lana [24]

(1-1/3)x*(1-1/5)=28 8/15x=28 x=52.5. Therefore, he had 52.5$before

6 0

3 years ago