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2. Given triangle PQR where P(4,1),Q(a, 2a) and R(3,4). Solve for a if the equation of the altitude to side QR is y = −x + 6. You may want to draw a diagram.

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Answer:

  1/(3x) =(x -2)/(4x^2 +9)

Step-by-step explanation:

The denominator cannot be factored further, so the final form will be ...

  A/(3x) + (Bx +C)/(4x^2 +9)

The value of this is ...

  (A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))

  = ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))

Equating coefficients gives ...

  3B+4A = 7

  3C = -6   ⇒   C = -2

  9A = 9   ⇒   A = 1

Using the found value of A, we find ...

  3B +4 = 7   ⇒   B = 1

Then the decomposition is ...

  [tex]\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}[/tex]

Answer:

a

Step-by-step explanation:

took test

Answer:

4x^2[tex]\sqrt{7x^{2} }[/tex]

Answer:

2x - 1

Step-by-step explanation:

Simplify. Note that you cannot combine a term with a variable with a constant term. Divide 5 from both terms in the parenthesis:

1/5(10x - 5) = (10x - 5)/5

Divide 5 from both terms in the parenthesis:

10x/5 = 2x

-5/5 = -1

2x - 1 is your answer.

~

Answer:

1/5 (10x - 5)

[tex]taking common \: 5 \: from (10x - 5) \\ 1 \div 5 \times 5(2x - 1)[/tex]

2x-1 is your answer

Answer:

1/5 decimal: 0.2

3/20 decimal: 0.15

8/25 decimal:0.32

3/50 decimal:0.06

9/20 decimal: 0.45

Answer:

0.2

0.15

0.32

0.06

0.45

Step-by-step explanation:

Turn the fractions into decimals by changing the place value

Answer:

Step-by-step explanation:

Given quadratic equation is,

y = -2x² + 4x + 5

y = -2(x² - 2x) + 5

y = -2(x² - 2x + 1 - 1) + 5

y = -2(x² - 2x + 1) + 2 + 5

y = -2(x - 1)² + 7

This equation is in the vertex form of the quadratic equation,

y = a(x - h)² + k

where, (h, k) is the vertex of the parabola.

Therefore, vertex of the given quadratic equation is (1, 7)

The equation can be rewritten as y = -2(x - 1)² + 7.

Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).

Answer:

I'm pretty sure it's 10.905

Answer:

Yes , i agree with Noah that the equation would be 3(x + 7) = 57

Step-by-step explanation:

P.S - The exact question is -

To find  - Noah writes the equation 3 (x+7)=57 to represent the situation.

               DO YOU agree with him? Explain your answer.

Proof -

Yes , i agree with Noah

Because in the figure we can see that there is x written 3 times and 7 written 3 time and whole the values is equal to 57 .

Because 57 is divided into x 7 x 7 x 7

∴ we can write it as

3 times x + 3 times 7 = 57

⇒3(x) + 3(7) = 57

⇒3(x+7) = 57

Ans Noah give the same equation 3 (x+7)=57

So, I agree with Noah.

Answer:

14 that's the answer I think so hope its it

Answer:

180°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal. Here [tex] \angle A, \:\: \angle C \: \: and\:\: \angle B, \:\: \angle D[/tex] are opposite angles.

[tex] \therefore m\angle A = m\angle C = 110\degree [/tex]

[tex] \& \:m\angle B = m\angle D = 70\degree [/tex]

[tex] m\angle A + m\angle B =110\degree + 70\degree [/tex]

[tex] m\angle A + m\angle B =180\degree [/tex]

Answer:

18

Step-by-step explanation:

Answer:

(-5, -1)

Step-by-step explanation:

When two lines intersect, their x and y values are equal. So,

x = 3y - 2 must equal -7 - 2y = x

x = 3y - 2 = -7 - 2y = x

Let's look at the two middle equations and solve for y.

3y - 2 = -7 - 2y

Add 2y to both sides

5y - 2 = -7

Add 2 to both sides.

5y = -5

y = -1

Now, let's find x. You can use either equation for this step.

When y = -1, then 3y - 2 =

(3)(-1) - 2 = -3 - 2 = -5

So, x = -5, and y = -1

Thus, the answer is (-5, -1)

I hope this helps! Feel free to ask any questions!

Answer:

multiply both sides of the equation by 3

Step-by-step explanation:

When your trying to solve for a variable, do steps where you are isolating that variable.

In the equation given, to isolate b, get rid of the division first and we can do that through multiplication.

Step-by-step explanation:

I think it's B, if you are missing a decimal point and the second term is 17.2 and not 172. otherwise none are equivalent

Answer:

D. 45/2 and (1)

A. 89/2 and ( 18 )

Step-by-step explanation:

ap3x

The number of people that bought T-shirt is 2070 people

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

To find the percentage of those that bought the T-shirt

We find 45% of 4,500

45/100 * 4500

2070

Hence, 2070 people out of the 4,500 people who attend the rock concert bought the T-shirt

Learn more about percentage at:https://brainly.com/question/24304697

#SPJ1

Answer:

1) 3 , 2)Add 8 floats 3) -2 4) Remove 8 anchors.

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Given

36a - 16 ← factor out 4 from each term

= 4(9a - 4)

Answer:

The answer is 16+18d

Answer:

19 h

Step-by-step explanation:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Answer:

[tex] - 2x + 28[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex] - 2x - 2 \times - 14[/tex]

2) Simplify 2 × -14 to -28.

[tex] - 2x - ( - 28)[/tex]

3) Remove parentheses.

[tex] - 2x + 28[/tex]

Therefor, the answer is - 2x + 28.

Answer:

A

Step-by-step explanation:

it's 8.36 which is between 4 and 10

Answer:

42.1

Step-by-step explanation:

tan 39 = 52 / x

x = 52 tan39

x = 42.1

Answer:

4,0

Step-by-step explanation:

Find where the two lines intercept at.

They both intercept at 4,0

Answer and Step-by-step explanation:

The solution is (4, 0)

This is because the graphs intersect at this point, which would be their solution.

#teamtrees #WAP (Water And Plant)

Answer:

0.9985

Step-by-step explanation:

Answer:

where should I substitute 8 for x? if its like this 4(8)+y=12 than its y=-20

Step-by-step explanation:

v/8=2

x8 x8

v=16

16=k/11

x11   x11

176=k

18+m=8

-18     -18

m=-10

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hope it helps

Answer:

y= \frac{15}{7}x + 7

not sure if that will work so

y = 15x/7x + 7

Step-by-step explanation:

Answer:

need more information there should be a X and y axis to answer the questions.