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Kay [80]
3 years ago
5

Which sentence is correct? A. -4 > 3 B. -4< -6 C. -4 > -7 D. -5 > -4

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0
B. I think but i’m not sure
prisoha [69]3 years ago
3 0

Answer:

C. -4 > -7

Step-by-step explanation:

answer= option C

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a
mrs_skeptik [129]
<span>Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that 


Answer: Angle (B) is Congruent to Angle (C)

Hope it helps
</span>
6 0
3 years ago
The sale price of a scooter s $850. The original price was first discounted by 25% and then discounted an additional 15%. What w
ira [324]

Answer:

$1,190

Step-by-step explanation:

$850(0.25) = 212.50

$850(0.15) = 127.50

$850+212.50= 1,062.50

1,062.50+127.50= 1,190

5 0
3 years ago
What is the area of this circle?
Juli2301 [7.4K]

Answer:

The area will be<u> </u><u>113.1</u>

Step-by-step explanation:

hope it helps u

have a great day

5 0
3 years ago
Three point zero one divided by seven
vivado [14]
The answer is zero point four three

You could also write this answer as 0.43
7 0
3 years ago
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