Solve the equation for x: x/2

Does (6, 4) make the equation y = 2x true?

Mekhanik [1.2K]

Answer: nope

Step-by-step explanation: using the given coordinate, that would make the problem become 4 = 2(6) which then becomes 4 = 12

So, no, it does not make the equation true.

Hope this helps!

3 0

3 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity.

Arturiano [62]

The Pythagorean theorem is one that can be used to determine the third unknown side of a given right-angled triangle. Thus the answers required are:

A pair of similar triangles formed are ΔABD and ΔADC
Segment AD is a perpendicular bisector of segment BC, and also bisects angle A in two equal measures
Segment AD = 3

A right-angled triangle is one which has the measure of one of its internal angles equal to $90^{o}$ . Thus to determine the value of one of its unknown sides, the Pythagoras theorem can be used.

Pythagora theorem states that: for a right-angled triangle,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus from the given question, we have;

Part A: A pair of similar triangles formed are ΔABD and ΔADC.

Part B: In the given triangle, segment AD is a perpendicular bisector of segment BC. Thus segment AD also bisects angle A in two equal measures. So triangle ABC is now divided into two equal pairs i.e ΔABD and ΔADC.

Part C: Given that: If DB = 9 and DC = 4, find the length of segment DA.

Let segment AD be represented by x, so that;

from ΔABC,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

$/13/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus the appropriate Pythagorean triple for this question is 5, 12, 13.

So that AB = 12, AC = 5 and BC = 13

Let segment AD be represented by x.

Thus from triangle ADC, applying the Pythagoras theorem we have;

$5^{2}$ = $x^{2}$ + $4^{2}$

25 - 16 = $x^{2}$

$x^{2}$ = 9

x = 3

Therefore, segment AD is 3.

For more clarifications on Pythagoras theorem, visit: brainly.com/question/343682

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

6 0

2 years ago

Please help me Please this is due today

Tasya [4]

Answer:

See Below.

Step-by-step explanation:

By the Factor Theorem, if we divide q(x) into p(x) and the resulting remainder is 0, then p(x) is divisible by q(x) (i.e. there are no remainders).

Problem 1)

We are given:

$p(x)=x^3+3x^2+3x+1\text{ and } q(x)=x+1$

We should find the remainder when dividing p(x) and q(x). We can use the Polynomial Remainder Theorem. When dividing a polynomial p(x) by a binomial in the form of (x - a), then the remainder will be p(a).

Here, our divisor is (x + 1) or (x - (-1)). So, a = -1.

Then by the Polynomial Remainder Theorem, the remainder when performing p(x)/q(x) is:

$p(-1)=(-1)^3+3(-1)^2+3(-1)+1=0$

The remainder is 0, satisfying the Factor Theorem. p(x) is indeed divisible by q(x).

Problem 2)

We are given:

$p(x)=x^3-2x^2+6x-27\text{ and } q(x)=x-3$

Again, use the PRT. In this case, a = 3. So:

$p(3)=(3)^3-2(3)^2+6(3)-27=0$

It satisfies the Factor Theorem.

Problem 3)

We are given:

$p(x)=x^n-10^n\text{ and } q(x)=x-10$

Use the PRT. In this case, a = 10. So:

$p(10)=(10)^n-10^n=0$

It satisfies the Factor Theorem.

Since all three cases satisfy the Factor Theorem, p(x) is divisible by q(x) in all three instances.

7 0

3 years ago

There are 20 grams of protein in 3 ounces of sautéed fish. If the answer is 9 ounces, what is the question?

Strike441 [17]

If you have 9 ounces you have 59.94 grams.

Explanation: 20/3 = 6.66 grams per ounce

6.66 grams x 9 ounces = 59.94 grams.

6 0

3 years ago

A group of friends ordered 3 burgers and 3 medium fries for a total of $20.25. Another group of friends ordered 5 burgers and 8

nignag [31]

Answer:

2.25

Step-by-step explanation

1. divide 20.25 by 3.

2. you got 6.75!

3. divide 6.75 by 3.

4. you got 2.25!

see how the power of division can help you? ok ok, sorry that's cringy.

6 0

3 years ago

Solve the equation for x: x/2 - 24 = 50