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Black_prince [1.1K]
4 years ago
11

What are real and distinct roots

Mathematics
1 answer:
Dmitry [639]4 years ago
7 0

Answer:

If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. ... If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.

Step-by-step explanation:

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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
Which property is illustrated? 8(a + c) – 8a+ 8c​
inessss [21]

Answer:

commutative property

Step-by-step explanation:

6 0
3 years ago
Solve the following equation.<br> -8x=-6x +10
miskamm [114]
(-8)x=(-6)x+10
(-2)x=10
X=10/-2
X=-5
8 0
4 years ago
This Venn diagram shows sports played by 10 students
maksim [4K]

Hello! :)

P (a or b) means

P (a+b)

So the blue side and the red side of the diagram have students so add them up:

3+2=5

Then the ratio

blue and red/total number of students

5/10

(10 students)

So simplify:

1/2

Hope I helped and answered in time!

Good luck!

~ Destiny ^_^

4 1
3 years ago
Read 2 more answers
Use Cramer's Rule to solve each system.<br> 5x – 3y = 8<br> -2x - y = 10
zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5    -3    

-2   -1    

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8   -3

10   -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5   8

-2   10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0
3 years ago
Read 2 more answers
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