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REY [17]
3 years ago
7

Solve the following system of equations by linear combination: 5x 2y = 14 y = x – 7

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
I would use subsitution
y=x-7
sub x-7 for every x
5x+2(x-7)=14
5x+2x-14=14
add 14 to both sides
7x=28
divide both sides by 7
x=4
sub
y=x-7
y=4-7
y=-3

x=4
y=-3
(4,-3)
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Slope = four fifths ,y-intercept = -1
Nadya [2.5K]
Slope-intercept form:
y=mx+b

m=slope
b=y-intercept 

Data:
m=4/5
b=-1

y=mx+b
y=(4/5)x-1

Answer: the equation of the line with slope=4/5, and y-intercept=-1 would be:
y=(4/5)x-1
5 0
3 years ago
Billy left home at 9 a.M. And rode his bicycle to the park at an average speed of 10 miles per hour here I got the park at 9:30
tamaranim1 [39]

Answer:

Park is <u>5 miles</u> from Billy's home.

Step-by-step explanation:

Given:

Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.

Now, to find the distance from park to Billy,s home.

Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.

So, the time = (9.30 - 9.00) = 30 minutes

=\frac{30}{60}  =0.5\ hour.

Speed = 10 miles per hour.

Now, to get the distance from park to Billy's home we put formula:

Distance=Speed\times Time.

Distance=10\times 0.5

Distance=5\ miles.

Therefore, park is 5 miles from Billy's home.

3 0
2 years ago
How do you do this question?
marishachu [46]

Answer:

100

Step-by-step explanation:

│an − L│< ε

│(1 − 1/n) − 1│< 1/100

│-1/n│< 1/100

1/n < 1/100

n > 100

3 0
3 years ago
What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
Weapon of math destruction trig. day 1
ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles

  • The value of x is 11.8310
  • The tree is 23.3154 feet tall
  • The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

\sin(25) =\frac{5}{x}

Make x the subject

x =\frac{5}{\sin(25)}

This gives

x =11.8310

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

\tan(25) =\frac{h}{50}

Make h the subject

h = 50 \times \tan(25)

This gives

h = 23.3154

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

\tan(37) =\frac{h}{500}

Make h the subject

h = 500 \times \tan(37)

This gives

h = 376.7770

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

8 0
2 years ago
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