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forsale [732]
1 year ago
6

Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is fourteen. Two times the first n

umber plus three times the second number is nine. What are the two numbers? Show and Explain all work.
Mathematics
1 answer:
goldfiish [28.3K]1 year ago
5 0

Answer:

First number = 33, Second number = -19

Step-by-step explanation:

We can use F to represent the first number and S to represent the second number.

Our two equations then are F + S = 14 and 2F + 3S = 9

We can use substitution:

F+S = 14\\2F+3S=9\\F=14-S\\2(14-S)+3S=9\\28-2S+3S=9\\28+S=9\\S=-19\\\\F-19=14\\F=33

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I need help finding the reference angles for these angles.
Salsk061 [2.6K]
Convert the angles to degrees. Remember there are 2pi radians in a circle, and a circle has 360 degrees, so conversion factor is 180degrees/pi. Then you can easily approximate the reference angle. Remember you make the reference angle from the positive x-axis and the reference angle will be the angle between the terminal side and the nearest x-axis (either positive side or negative side of the x-axis).
1)1.4 * \frac{180degrees}{pi} = 80.214 degrees
2)-1.4 \pi * \frac{180degrees}{ \pi } = -252 degrees

4 0
3 years ago
On a coordinate plane, what is the distance between the points (3,-6) and (-14, -6)
madreJ [45]

Answer:

The distance between both points would be of 17 units

Step-by-step explanation:

they have the same value through the y-axis. However if you count the spots from 3 to -14 their x values are 17 units apart.

7 0
3 years ago
I need help in this section.
Phoenix [80]

Answer:

\frac{1}{45}

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5  [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9  [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is  \frac{1}{45}

6 0
3 years ago
What is the inverse of the equation y=x²-4, x≤ 0​
Lina20 [59]

The inverse of the equation y = x² - 4, x≤ 0​ is y = \sqrt{x + 4

<h3>How to determine the inverse of the equation?</h3>

The equation is given as:

y = x² - 4, x≤ 0​

Swap the x and y values

x = y² - 4

Add 4 to both sides

y² = x + 4

Take the square root of both sides

y = \sqrt{x + 4

Hence, the inverse of the equation y = x² - 4, x≤ 0​ is y = \sqrt{x + 4

Read more about inverse equations at:

brainly.com/question/11302699

#SPJ1

6 0
2 years ago
To join the gym Haley must pay a $75 enrollment fee and 32 per month right in algebra expression represents the total cost of in
Rzqust [24]

Answer:

75+32·M=X

M=Months she goes to the gym

X=Total she pays

Step-by-step explanation:

you need to variables

M= represents the amount of months she goes to the gym

X= represents the total that she paid

$75(fee)+32·M($ per month)=X(the total)

Example= 1 month

75+32·1=X

107=X-----> Total she pays

8 0
3 years ago
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