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sergij07 [2.7K]
3 years ago
7

WHICH ONE OF THESE NUMBERS IS AN

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

D) 2

Step-by-step explanation:

An integer is any whole number negative or positive. 1/3 is not an integer because it is a fraction, not a whole number. 12.5 and 0.75 are not integers because they are decimals, not whole numbers. 2 is an integer because it is a full number.

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Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through
MaRussiya [10]

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line f(x)=y=9-\frac{2}{3}x.

The slope of the line is: m_{1}=-\frac{2}{3}

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is:m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}

The equation of perpendicular line passing through origin is:

y=\frac{3}{2}x

Compute the intersecting point between the lines as follows:

y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}

The value of <em>y</em> is:

y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}

The intersecting point is (\frac{54}{13},\ \frac{81}{13}).

The <em>y</em>-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is  bounded by the points:

(0, 0), (0, 9) and (\frac{54}{13},\ \frac{81}{13})

Consider the diagram attached.

Compute the area of the triangle as follows:

\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70

Thus, the area of the triangle is 18.70 sq.units.

7 0
4 years ago
No jk drtyguhiytr5tyguhigyft fyguhijk
Artemon [7]

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

8 0
4 years ago
HELP PLEASE! I'll be your fan
Bond [772]
Part a)

for extraneous solution
<span>
1 ⋅ sqrt(x+2) + 3 = 0</span>

for non extraneous solution

1⋅ sqrt(x+2)  + 3 = 6

part b) solve each equation

1⋅sqrt(x+2)+3=0 

x+sqrt(x+2)=−3 

square both sides

(sqrt(<span>x+2)</span>)^ 2 = (−3)^2 


x+2=9 

x=9−2 

x=7 

do you see why its extraneous

6 0
3 years ago
Read 2 more answers
Chian bought 12 pounds of apples for six dollars use the ratio table to find the cost of buying 3 pounds of apples
Hitman42 [59]
Well, 12 divided by 6 is 2. So 2 dollars per apple. 2 times 3 is 6 so 6 is the answer.
3 0
3 years ago
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An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represen
Marianna [84]
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then 
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</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is
y²/289+x²/225=1

see the attached figure

7 0
4 years ago
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