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pogonyaev
3 years ago
14

Which expression is equivalent fo (f+g)(4)

Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer: The answer is A-f(4) + g(4)

Step-by-step explanation:

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Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2
Nana76 [90]

Answer: k=18\dfrac{8}{11}.

Step-by-step explanation:

If a line passing through two points, then

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

The endpoints of segment AB have coordinates \left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right) and  \left(-2\dfrac{1}{4} , k\right).

A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)

B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right).

Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}

=\dfrac{4k-9}{4}\times \dfrac{44}{-145}

=4k-9\times \dfrac{11}{-145}

=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1

\dfrac{44k-99}{-725}=-1

44k-99=725

44k=725+99

k=\dfrac{824}{44}

k=\dfrac{206}{11}

k=18\dfrac{8}{11}

Therefore, the value of k is k=18\dfrac{8}{11}.

8 0
4 years ago
Read 2 more answers
Simplify the expression: <br> (8+-9)(9+-8)
Paha777 [63]

Answer:

-1

Step-by-step explanation:

(8 + -9)(9 + -8)

A negative times a positive is a negative.

8 + -9

+- = -

8 - 9

8 - 9 = -1

(-1)(9 + -8)

9 + -8

+- = -

9 - 8

9 - 8 = 1

(-1)(1)

Now, we multiply

Remember, a negative times a positive equals a negative.

-1 * 1 = -1

Our answer is -1

5 0
3 years ago
Read 2 more answers
My quadrilateral has no lines of symmetry but it does have rotation symmetry. what is it?”
Elina [12.6K]

We have to identify the quadrilateral with no line of symmetry and have rotational symmetry.

Line of symmetry  is the imaginary line which divide the given quadrilateral in two equal halves.

Rotational symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.

Parallelogram is a quadrilateral which has no line of symmetry as we can not draw any imaginary line which divides the parallelogram in two equal halves.

But Parallelogram has rotational symmetry as when a parallelogram is rotated around a center point (turned) a number of degrees and parallelogram appear the same.

Hence, Parallelogram is the quadrilateral.

8 0
4 years ago
What are the domain and range of the function f(x)=3x-1 /2
mel-nik [20]

Answer:

f(x)=3x−1

      2

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(-∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range.

Domain:  

(−∞,∞),{x|∈R}

Range:

(−∞,∞),{y|y∈R}

8 0
3 years ago
Use the diagram to solve for x<br> 15x + 5<br><br> 16x+2
kondor19780726 [428]

Answer:

3

Step-by-step explanation:

I think you set them equal to each other.so you would do 16x+2=15x+5 and you would get x=3. I hope this helps out! ☺️

8 0
3 years ago
Read 2 more answers
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