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weeeeeb [17]
3 years ago
10

Solving system by substitution x=3y+11, 2x-3y=16

Mathematics
2 answers:
grin007 [14]3 years ago
5 0
Input 3y+11 for x

2(3y+11)-3y=16
6y+22-3y=16
3y= -6
Divide by 3 to isolate y
y=-2

Now for x....

x=3(-2)+11
=-6+11
=5
x=5

Coordinates (5,-2)
victus00 [196]3 years ago
4 0
1. You plug the x equation in the nest on. 2(3y+11)-3y=16.

2. You then simplify it. 6y+22-3y=16

3. You simplify it more. 3y+22=16.

4. Next you subtract 22 from each side. 3y=-6.

5. Divide both sides by 3. y=-2

6. Then substitute y for the first equation. x=3(-2)+11

7. Next you simplify. x=-6+11

8. Simplify more. x=5

9. You get your results. x=5 and y=-2
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Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 15. Write V in component f
Scilla [17]

Answer:

a=9.641, b=11.49

Vector will be 9.641 i + 11.49 j

Step-by-step explanation:

We have given that vector V has the magnitude of 15

And it makes an angle of 50^{\circ} with positive x axis

Now let the x component of vector V is a and y component of vector V is b

So a=Vcos\Theta =15\times cos50^{\circ}=9.641

b=Vsin\Theta =15\times sin50^{\circ}=11.49

In vector form 9.641 i+11.49 j

8 0
3 years ago
4-2(x+7)=3(x+5) can ya'll help me with the steps.
maria [59]

Answer:

x = -5

Step-by-step explanation:

4-2(x+7)=3(x+5)

Distribute

4 -2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10+2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

3 0
3 years ago
Read 2 more answers
Write the Prime factors that 24 and 36 have in common By showing them multiplied together
lakkis [162]

The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3

<h3>How to get prime factors? </h3>

A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.

Now, we have;

Prime factors of 36; 2 × 2 × 3 × 3

Prime factors of 24; 2 × 2 × 2 × 3

The prime factors that they have in common will be; 2 × 2 × 3

Read more about Prime factors at; brainly.com/question/1081523

#SPJ1

5 0
2 years ago
Please help me with both one and two. Thanks!!
lesya [120]
1. a²+b²=c²
a=6²=36
b=x²
c=15²=225
x=√189 feet deep (the square root of 189)
2. a²+b²=c²
a=3²=9
b=x²
c=5²=25
x=√16=4

Hope that helped
;)
3 0
3 years ago
How to convert To prepare for a bake-off, Louise used 0.61 kilogram of flour each day for 3 weeks. How many grams did Louise use
Ronch [10]

Given:

Louise used 0.61 kilogram of flour each day for 3 weeks.

To find:

How many grams did Louise use in those 3 weeks?

Solution:

We know that,

1 kg = 1000 g

Flour used by Louise each day for 3 weeks = 0.61 kg

1 week = 7 days

3 week = 21 days

Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg

                                                                        = 12.81 kg

                                                                        = (12.81 × 1000)    [ 1 kg = 1000 g]

                                                                        = 12810 g

Therefore, flour used by Louise for those 3 weeks is 12,810 grams.

7 0
2 years ago
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