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Blababa [14]
3 years ago
14

Write 54 8 as a mixed number. Give your answer in its simplest form.

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

6 3/4

Step-by-step explanation:

to write 54/8 into the mixed number and in the simplest form

we first simpify 54/8 which is 27/4

to convert 27/4 into a mixed number we first see how many times does 4 goes into 27 with the remainder. 4 goes into 27 6 times with the remainder of 3.  4 goes into 27 6 times so, 6 will be the whole part 3 remainder will be the numerator and 4 will be the denominator. like 6\frac{3}{4}

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Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)
riadik2000 [5.3K]

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

6 0
3 years ago
a delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 p
frozen [14]

Answer:

45

Step-by-step explanation:

70 + 65 = 135 boxed both large and small.

6150 / 135 = 45 pounds estimated.

6 0
3 years ago
Read 2 more answers
f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]

Answer:

The graph has only one x-intercept

Step-by-step explanation:

we have

f(x)=-4x^2+12x-9

we know that

The discriminant of a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

D=b^{2}-4ac

in this problem we have

f(x)=-4x^2+12x-9

so

a=-4\\b=12\\c=-9

substitute

D=12^{2}-4(-4)(-9)

D=144-144

D=0

The discriminant is zero

That means ----> The quadratic equation has one real solution

The graph has only one x-intercept

3 0
3 years ago
I will give BRAINLIEST! help open the picture!​
geniusboy [140]

Answer:

5/2

Step-by-step explanation:

8 0
3 years ago
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Select the correct answer from each drop-down menu.
photoshop1234 [79]

1. quotient

2.remainder

3. a factor

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Step-by-step explanation:

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4 0
3 years ago
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