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2 years ago

Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4

Mathematics

2 answers:

Snezhnost [94]2 years ago

8 0

Answer:

$\boxed{(8,11)}$

Step-by-step explanation:

Given the point (8,7)

This means when x = 8, the output is 7 . So, f(8) = 7

So, the new function will be:

=> f(8) + 4

=> 7 + 4

=> 11

So, the corresponding point for the function f(x)+4 is ( 8, 11 )

ozzi2 years ago

7 0

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

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Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a

klasskru [66]

Given:

Point B has coordinates (4,1).

The x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance between point A and point B is 10 units.

$\sqrt{(4-(-4))^2+(1-y)^2}=10$

Taking square on both sides, we get

$(8)^2+(1-y)^2=100$

$(1-y)^2=100-64$

$(1-y)^2=36$

Taking square root on both sides, we get

$(1-y)=\pm \sqrt{36}$

$-y=\pm 6-1$

$y=1\mp 6$

$y=1-6$ and $y=1+6$

$y=-5$ and $y=7$

Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).

7 0

2 years ago

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Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

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3 years ago

Which of the following phrases can be used to represent -11? the opposite of -11 eleven greater than zero eleven below zero posi

Rama09 [41]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Which expression shows a sum of five terms? (3 points)

Sav [38]

Answer:

5 + x + 5 + x + x

Step-by-step explanation:

We are given 4 expressions and we have to determine which expressions shows a sum of five terms.

We use the process of elimination:

5(x + 5)

=5x+25 (distributing 5)

This contains sum of only two terms, eliminate.

It contains only 1 term, eliminate.

5 + x + 5 + x + x

It contains 5 terms 5,x,5,x and x, KEEP!

Only contains 1 term, eliminate.

With this said, were left with:

5 + x + 5 + x + x

Which is the correct answer! :)

6 0

2 years ago

The endpoints of CD are C(−4, 7) and D(0,−3).

tino4ka555 [31]

Midpoint =(\frac{x_{2}+x_{1}}{2},\frac{y_{2}+y_{1}}{2})

Answer:

Midpoints of line CD are (-2,2).

Step-by-step explanation:

The midpoints is given by

$Midpoint =(\frac{x_{2}+x_{1}}{2},\frac{y_{2}+y_{1}}{2})$

As given

The endpoints of CD are C(−4, 7) and D(0,−3).

Putting values in the above

$Midpoint =(\frac{0-4}{2},\frac{-3+7}{2})$

$Midpoint =(\frac{-4}{2},\frac{4}{2})$

Midpoints = (-2,2)

Therefore midpoints of line CD are (-2,2).

4 0

3 years ago

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