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BlackZzzverrR [31]
3 years ago
9

N= 7/3T+17 Solve the equation for T

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
7/3T=N-17
T=3/7(N-17)
T=3/7N -51/7
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Solve 4x + 11 = k for x.<br> O A. x-4-11<br> B. x= k-7<br> C. x = 4k - 44<br> D. x =<br> K-11<br> 4
Arisa [49]

Answer:

x= 1/4k + −11/4

Step-by-step explanation:

4x+11=k

Step 1: Add -11 to both sides.

4x+11+−11=k+−11

4x=k−11

Step 2: Divide both sides by 4.

4x/4 = k−11/4

x=1/4k + −11/4

Answer:

x=1/4k + −11/4

OR

If you are solving for K:

Let's solve for k.

4x+11=k

Step 1: Flip the equation.

k=4x+11

Answer:

k=4x+11

5 0
3 years ago
What is the equation of the axis of symmetry for the function shown below?
Gennadij [26K]

Answer:

x=2

Step-by-step explanation:

The axis of symmetry can be calculated using the following formula:

Xv= \frac{-b}{2a}

In order to use this formula, we need to have the function written in it's polynomial formula:

f(x)=ax^{2} +bx+c

In order to do so, we have to isolate Y from the excercise's formula.

y=-2(x-2)^2-5

Then we resolve the square of the binomial knowing that (a+b)^2=a^2+2.a.b+b^2

(x-2)^2= x^2+2.x.(-2)+(-2)^2

(x-2)^2= x^2-4x+4

Now we have that:

y=-2.(x^2-4x+4)-5

y=-2x^2+8x-8-5

y=-2x^2+8x-13

As we have now the polynomyal formula, we know that a=-2, b=8 and c=-13. We supplant on the formula and get:

Xv= \frac{-b}{2a}

Xv= \frac{-8}{2.(-2)}

Xv= \frac{-8}{-4)}

Xv= 2

4 0
4 years ago
A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long.
Stells [14]

<u>Answer:</u>

The height of the tower nearby the pole is 102 m.

<u>Solution:</u>

Given,

Height of the pole = 3.5 m

Length of the shadow of the pole = 1.47 m

Length of the shadow of the tower nearby = 42.75 m

Let us assume the height of the tower as x

\frac{height of the pole}{length of the shadow of the pole}=\frac{height of the tower}{length of the shadow of the tower}

\frac{3.5}{1.47} = \frac{x}{42.75}

On solving for x we get,

x = \frac{3.5}{1.47}\times 42.75

x = 101.785 m

On rounding off to the nearest meter we get,

x=102 m

\therefore The height of the tower is 102 meter.

7 0
3 years ago
Corey wants to estimate the height of the statue of Stephen F. Austin in Angleton, Texas. He stands approximately 19.3 feet away
aniked [119]

The statute is about 80 feet tall

<h3>Similar triangles;</h3>

In order to get the height of the statute, we will need to get the base of the bigger triangle using the similarity theorem of triangles as shown:

B/19.3 = 19.3/5

5B = 372.49

B = 372.49/5

B = 74.498

<h3>Get the height of the status</h3>

The height of teh status = B + 5

Height of the status = 74.498 + 5

Height of the status = 79.498

Hence the statute is about 80 feet tall

Learn more on similar triangles here: brainly.com/question/2644832

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