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bija089 [108]
3 years ago
10

Find the distance between (-4,-3) and (-8,2)

Mathematics
1 answer:
igomit [66]3 years ago
6 0

Exact Form: √41

Decimal Form: 6.4031

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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
Fill in the answer.
OLEGan [10]

Answer:

-9

-2

1

-10

1

6

Step-by-step explanation:

Just follow the equation left to right

4 0
3 years ago
The owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg a
Lunna [17]

Answer: C=40

Step-by-step explanation: X=40 APPLES PER BOX.  

PROOF:

2+.25*40=12

2+10=12

12=12

6 0
3 years ago
Find the surface area of the composite solid. Leave your answer in terms of pi.
bonufazy [111]
Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
4 0
3 years ago
Help me please <br> Ihudihqhfiqhq
Klio2033 [76]

Answer:

2

Step-by-step explanation:

The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.

A quadratic is of degree 2 and has 2 roots.

4 0
3 years ago
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