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3 years ago

My first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Answer:

All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:

given the second expression:

x - y = 1

We'll replace y with it's value in the first expression:

x - (y) = 1

x - (5 - 2x) = 1

Now we can expand the resulting equation:

x - 5 + 2x = 1

So <em>neither</em> of the answers provided are correct.

You can then solve for x:

x - 5 + 2x = 1

x - 5 + 5 + 2x = 1 + 5

x + 2x = 6

3x = 6

3x/3 = 6/3

x = 2

After that, you can find y by plugging x into either of the two original equations:

y = 5 - 2x

y = 5 - 2(2)

y = 5 - 4

y = 1

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Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)

zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0

2 years ago

Use the position equation given below, where s represents the height of the object (in feet),

mariarad [96]

The answers to the questions are

The mathematical model is given as s = −16t2 + 1054
The height after 4.5 seconds is 730 feet

the time it would take to strike the ground is 8.11 seconds.

<h3>How to solve for the position of the object</h3>

The mathematical model of this problem would be written as

s = −16t2 + v0t + s0

s0 = 1054

then we would have

s = −16t2 + 1054

b. after 4.5 seconds the height is going to be

s = −16t2 + 1054

= −16(4.5)² + 1054

= -16 * 20.25 + 1054

= 730

C. the time that it takes to strike the ground

s = −16t² + 1054

= 16t² = 1054

t² = 1054/16

= 65.88

t = √65.88

t = 8.11

Hence the time it would take to strike the ground is 8.11 seconds.

Read more on velocity here:

brainly.com/question/4931057

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8 0

1 year ago

Prove the following using a direct proof:

hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

$5^{2}$ = 25

$6^{2}$ = 36

$7^{2}$ = 49

$8^{2}$ = 64

The sum of the squares = 25 + 36 + 49 + 64

= 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

$-10^{2}$ = 100

$-11^{2}$ = 121

$-12^{2}$ = 144

$-13^{2}$ = 169

The sum of the squares = 100 + 121 + 144 + 169

= 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0

3 years ago

Brainilest to who answers first

Sauron [17]

Answer: The exponential function would be

Step-by-step explanation:

Since we have given that

We have points (0,15) and (2,24)

First we take when x= 0, y = 15.

So, our equation becomes,

and we take when x = 2 and y = 240

So, the exponential function would be

4 0

3 years ago

The heights of American men are normally distributed. If a random sample of American men is taken and the confidence interval is

solmaris [256]

Answer:

Step-by-step explanation:

Given the confidence interval of the heights of american heights given as (65.3,73.7);

Lower confidence interval L = 65.3 and Upper confidence interval U = 73.7

Sample mean will be the average of both confidence interval . This is expressed mathematically as $\overline x = \frac{L+U}{2}$

$\overline x = \frac{65.3+73.7}{2}\\\overline x = \frac{139}{2}\\\overline x = 69.5$

Hence, the sample mean is 69.5

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3 years ago