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vichka [17]
3 years ago
7

Write the equation of the line in point slope form that passes through the given point (4,-1);m=-6

Mathematics
2 answers:
enyata [817]3 years ago
5 0
The equation would be y = -6x - 4
Rashid [163]3 years ago
4 0
The equation will be -6(x-4)-1
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-7.5 as a mixed number
Valentin [98]

Answer:

-7\dfrac12

Step by step explanation:

-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2

8 0
2 years ago
What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
kolbaska11 [484]
Given:
length = 6
width = 5
height = 9

Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916  ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.

Given:
Pyramid base = 12 cm
height = 8 cm

We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.

a² + b² = c²

a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm

8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c  Answer is letted D. 10 cm.
7 0
3 years ago
Dan made 85% of his free throws. If he took 45 shots how many did he make?
likoan [24]

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

6 0
3 years ago
Read 2 more answers
the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of
marin [14]
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg 
V = 17280 / 87 
V = 198.62 m^3
4 0
3 years ago
Can anyone explain this to me?
Step2247 [10]

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

7 0
3 years ago
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