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lisov135 [29]
4 years ago
5

A system of equations is shown below. Find the solution by using substitution.

Mathematics
1 answer:
ASHA 777 [7]4 years ago
5 0

Answer:

a) (-2, 0)

Step-by-step explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

-2 = x [Plug this back into both equations above to get the y-coordinate of 0]; 0 = y

I am joyous to assist you anytime.

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A function f is defined by the table shown below. Which of the following is the average rate of change of f over the interval 4
marin [14]

Answer:

Average rate of change=\displaystyle \frac{\text{Change in output}}{\text{Change in input}}

Change in input

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Δx

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x

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y

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=\displaystyle \frac{f\left({x}_{2}\right)-f\left({x}_{1}\right)}{{x}_{2}-{x}_{1}}

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7 0
3 years ago
What's 8 divided by 3/5
Furkat [3]
8/1:3/5 (reciprocal)
8/1x5/3
=40/3
3 0
4 years ago
Read 2 more answers
Jamal stands on a dock 1.5 meters above the surface of the water.A trout swims 4.8 meters below Jamal.What is the depth of the t
asambeis [7]
Since the trout is 4.8m below Jamal and it takes 1.5m just to get to the surface of the water, we will subtract the two numbers.

1.5  - 4.8 = - 3.3      The trout is 3.3 meters below the surface.
8 0
3 years ago
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
3 years ago
In right triangle ΔABC, ∠C is a right angle, AC = 20 and m∠A = 41º. Find AB to the nearest tenth.
kykrilka [37]

Answer:

AB = 26.5º

Step-by-step explanation:

cosA = adj/hyp

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Multiply both sides by AB

AB * cos41 = 20

Divide both sides by cos41

AB = 20/cos41

AB = 26.5º

4 0
3 years ago
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