3 years ago

What is the area of the shaded triangle?

Mathematics

1 answer:

Rzqust [24]3 years ago

6 0

Answer:30

Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30

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What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

pogonyaev

4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)

5 0

2 years ago

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

$g(x)=f(x+4)+(-2)$

$g(x)=(x+4)^3-2$ $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

8 0

3 years ago

Read 2 more answers

Find the surface area of the sphere with the given dimension. Leave your answer in terms of π. Sphere with radius of 60 m.

prohojiy [21]

The surface area of a sphere is given by $A=4 \pi r^{2}$ where r represents the radius.

As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.

$A=4 \pi ( 60^{2} )=14400 \pi$

6 0

3 years ago

Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. her office job pay

bulgar [2K]

Lets x = # of hours Melania  works at <span>office clerk
and y = </span># of hours Melania  works as a <span>cashier

x + y = 38 so x = 38 - y
13x + 9.25y = 434

substitute </span> x = 38 - y into 13x + 9.25y = 434

13x + 9.25y = 434
13(38 - y) + 9.25y = 434
494 - 13y + 9.25y = 434
-3.75y = -60
y = 16
x = 38 - y so x = 38 - 16 = 22

answer
Melania  works at office clerk = 22 hours
Melania  works as a cashier = 16 hours

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3 years ago

If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of is . Point lies on .

solmaris [256]

You would move five down and eight to the right, it depends how how the grid is

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4 years ago