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Vesnalui [34]
2 years ago
7

{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method

Mathematics
1 answer:
Degger [83]2 years ago
4 0

Answer:

\displaystyle [-2, 7]

Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.

{½[4x + 2y = 6]

{−2x + 2y = 18

>> \displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7

Plug this back into the system to get the x-value of \displaystyle -2.

I am joyous to assist you at any time.

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What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Anestetic [448]

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \frac{f(b) - f(a)}{b - a}

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\frac{f(b) - f(a)}{b - a} = -24/2 = -12

4 0
3 years ago
Workout 2/5 of 16 miles
yaroslaw [1]

Answer:

6.4

Step-by-step explanation:

16 ÷ 2/5 = 6.4!

that's it

3 0
3 years ago
An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
blagie [28]

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0
3 years ago
Is 42° correct?? Please help
Romashka [77]
X=40 degrees because it s on the circle. arc AD+arc DC=180 arc DC is 100 so AD is 80. That means x must be 40.
7 0
3 years ago
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
aev [14]

Answer:

Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))

                                                     = 2(32 + 48 + 24)\\=2(104) \\=208 cm^2

Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3

8 0
3 years ago
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