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2 years ago

What is 7/21 in its simplest form

2 answers:

5 0

The answer is 1/3 because 7 can go into 21 so then 7 goes into 7 one time and then it goes into 21 three times so then you would get 1/3

kicyunya [14]2 years ago

4 0

<u />7/21 = 1/3 because both the denominator and numerator can be divided by 7.

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Elise bought 8 1/2 yards of material. She used 3 3/4 yards for pants and 2 2/3 yards for a jacket. How many yards of material do

Jobisdone [24]

6 7/12- 8 6/12 =2 1/12

3 0

2 years ago

Read 2 more answers

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Vesna [10]

Answer:

39/80

Step-by-step explanation:

6 0

2 years ago

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg

DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by

$y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\$

For any line if slope is zero it is parallel to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0

2 years ago

Read 2 more answers

Find the volume of the sphere .

mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

$\frac{4}{3} \times \pi \times r ^{3}$

$\frac{4}{3} \times \pi \times 7^{3}$

=1436.75504cm³

to 1dp

=1436.8cm³

8 0

2 years ago

Which graph represents the circle given by the equation x + y - 4x + 9y -7 = 0?

PSYCHO15rus [73]

The graph of the circle equation is graph (d)

<h3>How to determine the circle?</h3>

The equation is given as:

x^2 + y^2 - 4x + 9y -7 = 0

Rewrite as:

x^2 - 4x + y^2 + 9y = 7

Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.

So, we have:

(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25

Evaluate the sum

(x - 2)^2 + (y + 3)^2 = 31.25

A circle equation is represented as:

(x - h)^2 + (y - k)^2 = r^2

Where

Center = (h, k)

Radius = r

So, we have:

(h, k) = (2, -3)

r^2 = 31.25

r = 5.5

The circle that has a center of (2, -3) and a radius of 5.5 is graph d

Hence, the graph of the circle equation is graph (d)