All categories

2 years ago

Is the ordered pair (1, 2) a solution to this system

Mathematics

1 answer:

Xelga [282]2 years ago

4 0

Answer:

Yes

Step-by-step explanation:

To determine is an ordered pair is a solution to the system of equations, substitute its coordinates into each of the equations.

An ordered pair is written in the form (x, y), so x=1 and y=2.

y = -2x +4

2 = -2(1) + 4 <=simplify this by multiplying (-2)(1)

2 = -2 + 4 <= add

2 = 2 <= same answers

LS = RS

7x - 2y = 3

7(1) - 2(2) = 3 <=simplify this but multiplying 7(1) and 2(2)

7 - 4 = 3 <= subtract

3 = 3 <= same answers

LS = RS

Since (1, 2) satisfies both of the equations, it is a soltuion to the system of equations.

You might be interested in

before conducting some experiments, a scientist mixes 1/2 gram of Substance A with 3/4 gram of Substance B. If the scientist use

horrorfan [7]

Mixing the two ingredients would be adding them together:

1/2 gram + 3/4 gram = 1 1/4 total grams

Divide the total grams by 1/8 to find the number of experiments they can do:

1 1/4 / 1/8 = 5/4 / 1/8 = 5/4 * 8/1 = 40/4 = 10

They can conduct 10 experiments.

5 0

3 years ago

How many solutions do intersecting lines have?

Annette [7]

There is one solution that the intersecting lines have cause two solution doesn't have the same slope.

5 0

3 years ago

Please help me!!!!! How do you get 67.3 and 112.7 from .9228

antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: $\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}$ .

Here, when we use the Law of Sines, we have: $\frac{28}{sin(63)}=\frac{29}{sinB}$ .

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin ( $sin^{-1}$ ):

$sin^{-1}(sinB)=sin^{-1}(0.9228)$

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

7 0

3 years ago

Read 2 more answers

An equation that represents the path of a diver jumping off a diving board is y = –7x2 + 5x + 16. Graph this function from the p

ANTONII [103]

Answer:

See explanation

Step-by-step explanation:

An equation that represents the path of a diver jumping off a diving board is

$y = -7x^2 + 5x + 16.$

The diver jumped to the water when x = 0.

Then

$y=-7\cdot 0^2+5\cdot 0+16=16$

The jumper reached the water when y = 0, then

$-7x^2+5x+16=0\\ \\D=5^2-4\cdot (-7)\cdot 16=25+448=473\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{473}}{-14}$

So, point where the jumper reached the water is

$\left(\dfrac{5+\sqrt{473}}{14},0\right)\approx (1.93,0)$

7 0

3 years ago

Order from Least to Greatest: 1/4 -0.8 0.5 -1.2

Shkiper50 [21]

Answer:

-1.2,-0.8,1/4,0.5

Step-by-step explanation:

hope this helps :D

3 0

3 years ago