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3 years ago

Draw the graph of the equation

Mathematics

1 answer:

guapka [62]3 years ago

6 0

9514 1404 393

Answer:

24 square units

Step-by-step explanation:

The triangle is a right triangle with legs 6 and 8. Its area is ...

A = 1/2bh = 1/2(6)(8) = 24 . . . . square units

_____

Additional comment

The equation for a line in intercept form is ...

x/a + y/b = 1

where 'a' and 'b' are the x- and y-intercepts, respectively. If we divide the given equation by 2, we get ...

x/6 +y/8 = 1

showing us that the x- and y-intercepts are 6 and 8. This is also clear on the graph.

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A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.

tankabanditka [31]

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
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3 years ago

There are 4 baskets that store 16 bathroom towels. Consider the number of bathroom towels per basket

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Answer:

there are 4 bathroom towels per basket

Step-by-step explanation:

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2 years ago

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Find AC and FB. Points B, D, and F are midpoints of the sides of ACE. EC=40 and DF=18.

ANTONII [103]

The second option. A is 36 and B is 20. FD is half of AC, so 18*2 is 36. FB is half of EC, so it’s 20.

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3 years ago

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A gardener is planting two types of trees:

denpristay [2]

It takes 12 years for both trees to be of same height

Solution:

Assume the year that it would take to these trees have the same height is : x (years)

Type A is 7 feet tall and grows at a rate of 23 inches per year:

Convert 7 feet to inches

We know that,

1 foot = 12 inch

7 feet = 12 x 7 inch = 84 inch

Thus, type A is 84 inches tall and grows at a rate of 23 inches per year

We can frame a equation as:

Type A = 84 + 23(number of years)

Type A = 84 + 23x ---------- eqn 1

Type B is 5 feet tall and grows at a rate of 25 inches per year

Convert 5 feet to inches

5 feet = 5 x 12 inches = 60 inches

Thus, type B is 60 inches tall and grows at a rate of 25 inches per year

We can frame a equation as:

Type B = 60 + 25(number of years)

Type B = 60 + 25x --------- eqn 2

For both the trees to be of same height, eqn 1 must be equal to eqn 2

84 + 23x = 60 + 25x

25x - 23x = 84 - 60

2x = 24

x = 12

Thus it takes 12 years for both trees to be of same height

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3 years ago

The bases of the trapezoid are 6 and 10. The height is 4. Find the area. 30 sq. units 32 sq. units 64 sq. units

DiKsa [7]

A of trapezoid = (6+10)•4/2= 16•2=32sq un

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