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Sladkaya [172]
3 years ago
13

If a gradient of line a is 4 what is the gradient of the line perpendicular to a

Mathematics
1 answer:
katovenus [111]3 years ago
5 0
\bf \textit{perpendicular, negative-reciprocal slope for}\quad 4\implies \cfrac{4}{1}\\\\
negative\implies  -\cfrac{4}{ 1}\qquad reciprocal\implies - \cfrac{ 1}{4}
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A glass is 4/7 full. Then 70 cm³ orange juice is poured in. The glass is now 3/4 full.
Nataly_w [17]

Answer:

The volume of the glass is 217.8 cm³

Step-by-step explanation:

If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.

Let v represent the volume of the glass.  

Then (3/7)v + 70 cm³ = (3/4)v.

We need to solve this for v.

Here the LCD is 28.  Thus,

(3/7)v + 70 cm³ = (3/4)v →  (12/28)v + 70 cm³ = (21/28)v.

Subtracting  (12/28)v from both sides, we get:

70 cm³ = (9/28)v.

We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:

(28/9)(70 cm³) = v

The volume of the glass is 217.8 cm³

3 0
3 years ago
Read 2 more answers
Four small cakes are shared equally among 5 children what part does each child receive?
erastova [34]

Answer:

0.8 of a cake

Step-by-step explanation:

all you do is divide 4 by 5

4 0
3 years ago
The distance between the points (5,-2) and (-7,3)
olchik [2.2K]
It would be (all under a big square root) (-7-5)squared + (3+2) squared. This equals to about root 169
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3 years ago
Given: x - 5 > -2. Choose the solution set. {x | x R, x > -7} {x | x R, x > -3} {x | x R, x > 3} {x | x R, x > 7}
sweet-ann [11.9K]

Answer:

{x | x ∈ R, x > 3}

Step-by-step explanation:

We are given the following inequality:

x - 5 > -2

In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:

x - 5 + 5 > -2 + 5

x > 3

So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.

So, {x | x ∈ R, x > 3} is the answer.

4 0
4 years ago
What is the value of s?
beks73 [17]

Answer:

To what

Step-by-step explanation:

3 0
3 years ago
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