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Allushta [10]
3 years ago
7

Find the equation of the line that contains the points (4,2) and (6,10). Write the equation in the form y=mx+b and identify m an

d b.
Mathematics
1 answer:
Fantom [35]3 years ago
3 0
Points (4,2) and (6, 10)

Eqn:
y - y = m(x - x)
y - 2 = [(2-10)/(4-6)] (x - 4)
y - 2 = (-8/-2) (x - 4)
y - 2 = 4(x-4)
y - 2 = 4x - 16
y - 2 + 2 = 4x - 16 + 2
y = 4x - 14

Therefore the slope (m) would be 4 and the y intercept (b) would be -14.
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zepelin [54]
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7 0
3 years ago
Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0
3 years ago
HELP ME I'M STUCK!!!! PLEASE AND THANK YOU!!!!
Darya [45]

Answer: 1/8

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3 0
3 years ago
Find the perimeter of a triangle with sides lengths 8, 10, and 12.
shtirl [24]

Answer:

30

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the value of x?<br> 21<br> 24<br> 32<br> 44
VMariaS [17]

Answer:

x = 21

Step-by-step explanation:

Because GJ is a diameter, the angle K is a right angle (90 degrees).

Thus, 4x + 6 = 90, and 4x = 84.  Thus, x = 21

7 0
3 years ago
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