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FinnZ [79.3K]
4 years ago
13

Which choice is a solution to the system of equations?

Mathematics
2 answers:
vodka [1.7K]4 years ago
5 0

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y - 9 = - x → (2)

Substitute y = 2x - 3 into (2)

2x - 3 - 9 = - x

2x - 12 = - x ( add x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(4) - 3 = 8 - 3 = 5

Solution is (4, 5 ) → B

Lelu [443]4 years ago
4 0
The answer to these question is B
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Musya8 [376]

Answer:

Step-by-step explanation:

is 50

360-230=130

180-130=50

5 0
3 years ago
In a figure, m<1=m<2. Which property can be used to reason that m<2=m<1.
Aneli [31]

Answer: Symmetric property of equality

This is the idea that if x = y, then y = x. We can swap the left and right sides of an equation, and still mean the same thing. The same applies to congruences as well.

5 0
3 years ago
Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.
Mashutka [201]

Answer:

in degrees: theta = 63.43°

in radians: theta = 1.11 rad

Step-by-step explanation:

To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.

Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:

atan(2) = 63.435°

So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.

Be sure to check in the calculator if the answer is given in degrees or radians.

In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)

3 0
3 years ago
Can someone help me with this?​
KonstantinChe [14]

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

4 0
2 years ago
Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
kow [346]
It is called:

Scientific notation rules
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3 years ago
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