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3 years ago

What is the height of a triangle with area 40 square inches and base 20 inches? A. 2 in. B. 1 in. C. 4 in. D. 3 in.

Mathematics

2 answers:

maxonik [38]3 years ago

5 0

Answer:

Step-by-step explanation:

base×height÷2=area of a triangle

20×height÷2=40

40×2÷20=4

UNO [17]3 years ago

4 0

The answer is A. Hope this helps.

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The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr

Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) $f(x-3)+1$

G) $f(x-5)$

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

Vertical shift:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) $f(x+2)-7$

Translation: $f(x)\rightarrow f(x+2)-7$

The translation shows a shift of 2 units to the left and 7 units down.

B) $f(x)-3$

Translation: $f(x)\rightarrow f(x)-3$

The translation shows a shift of 3 units down.

C) $f(x-3)+1$

Translation: $f(x)\rightarrow f(x-3)+1$

The translation shows a shift of 3 units to the right and 1 units up.

D) $f(x)+4$

Translation: $f(x)\rightarrow f(x)+4$

The translation shows a shift of 4 units up.

F) $f(x+6)$

Translation: $f(x)\rightarrow f(x+6)$

The translation shows a shift of 6 units to the left.

G) $f(x-5)$

Translation: $f(x)\rightarrow f(x-5)$

The translation shows a shift of 5 units to the right.

4 0

3 years ago

Solve for x: 4/5 x + 4/3 =2x <br> X= ?

jeka57 [31]

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

3 0

3 years ago

Alfred has a 30 dollar gift voucher.He plans to buy as many video games as he can.The cost of each game is 10 dollars.There is a

kotykmax [81]

10+2=12 30 divided by 12 = 2.5

5 0

3 years ago

A van travels from Town A to Town B. it uses 1 gallon of gas for every 24 miles traveled. How many gallons of gas does the van u

jeka57 [31]

3 Gallons

24 Miles = 1 Gallon, 24 Miles X 3x Miles =72 Miles, 1 Gallon X 3x Miles = 3 Gallons

7 0

3 years ago

The length of a rectangle is 3 m longer than its width. if the perimeter of the rectangle is 38 m , find its area.

Gwar [14]

2l • 2w= 38
w+3=l

15•2+4•2=38
4+3=15. xxx

11•2+8•2=38
8+3=11. ✓✓✓✓✓✓✓

a=11•8
a=88

6 0

3 years ago