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RoseWind [281]
3 years ago
9

What is the first step in solving the equation 3.5 n + 6.4 = 42.5?

Mathematics
2 answers:
miss Akunina [59]3 years ago
7 0

I would add like terms, meaning subtract 6.4 from both sides.

3.5n = 36.1

olga2289 [7]3 years ago
3 0
<h2>Answer:</h2>

n= 361/35

alternative forms:

n= 10 11/35 or n= 10.3142857

<h2>Step-by-step explanation:</h2>

3.5n+6.4=42.5

move constant to the right

3.5n=42.5-6.4

subtract 42.5 to 6.4

3.5n=36.1

divide both sides by 3.5

----------------

n=361/35

----------------

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the axis of symmetry for the graph of the function is f(x) = 1/4x2 bx 10 is x = 6. what is the value of b?
Lady bird [3.3K]

we have

f(x)=\frac{1}{4} x^{2} +bx+10

This is a vertical parabola open upward

The axis of symmetry is equal to the x-coordinate of the vertex

The vertex is the point (h,k)

the equation of the axis of symmetry is x=h

In this problem

x=6

so the x-coordinate of the vertex is h=6

<u>Convert the quadratic equation in vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-10=\frac{1}{4} x^{2} +bx

Factor the leading coefficient

f(x)-10=\frac{1}{4}(x^{2} +4bx)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-10+b^{2}=\frac{1}{4}(x^{2} +4bx+4b^{2})

Rewrite as perfect squares

f(x)+(b^{2}-10)=\frac{1}{4}(x+2b)^{2}

f(x)=\frac{1}{4}(x+2b)^{2}-(b^{2}-10)

remember that

h=6

so

(x+2b)=(x-6)

2b=-6

b=-3

substitute in the equation

f(x)=\frac{1}{4}(x-6)^{2}-((-3)^{2}-10)

f(x)=\frac{1}{4}(x-6)^{2}+1

therefore

<u>the answer is</u>

b=-3


8 0
4 years ago
Read 2 more answers
Need help on HS geometry
monitta

Answer:

  • See below

Step-by-step explanation:

AB is a midsegment.

<u>Property of the midsegment is midsegment is half the length of the parallel side of the triangle:</u>

  • 2AB = 88
  • AB = 44

<u>And</u>

  • 3x - 4 = 44
  • 3x = 48
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6 0
2 years ago
What is 1/7 divide by 6
arsen [322]
It is the same as 1/7*1/6. So the answer is 1/42
3 0
4 years ago
Plzzz help, the quicker the better!!!!!!
pishuonlain [190]

Answer:

26

Step-by-step explanation:

here,

the lower angle when sumed,

it is like: 154+a=180 (let angle be a) being supplementary angle sum is 180

so value of a becomes 26

then,

the above angle x is corresponding to angle a (a=x)

So value x is 26

7 0
3 years ago
What is the equation of the line that passes through the point (-3,2) and is parallel to y=2x+8
Tom [10]
The line we are searching for has the same slope because both lines are parallel.

The given equation y = 2x + 8 has a slope of 2.

We need the point-slope formula, the slope 2 andbthe given point.

y - y1 = m(x - x1)

y - 2 = 2(x -(-3))

y - 2 = 2(x + 3)

y - 2 = 2x + 6

We now solve for y.

y = 2x + 6 + 2

The equation we want is y = 2x + 8.
4 0
3 years ago
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