Write equation to the line when m=2 and b=-1<br><br> Thanks!

A rhombus has diagonals of 10cm and 6cm. Find the angles of the rhombus and its area.

Marrrta [24]

Answer:

area =length ×breath =10×6=60

3 0

2 years ago

5 pounds is how many ounces

chubhunter [2.5K]

Answer:

80 ounces

Step-by-step explanation:

There are 16 ounces in a pound. So to convert from pounds to ounces, you multiply 5 by 16, which is 80.

4 0

3 years ago

How do you add 323+412 in base 5

Alenkasestr [34]

Answer:

Addition of 323+412 = 1240 at base 5

Step-by-step explanation:

We have to add 323+412 on base 5

As we have to use base 5 for addition so we can use only numbers 0,1,2,3.4 and 5 as we use 0,1,2,3,4,5,6,7,8,9,10 in decimal when base is 10

Means in addition of sum is greater than 5 then we have to take carry as in base 10 we take carry if the sum is greater than 10

So sum 323+412 = 1240

8 0

3 years ago

There are 52 cards in a deck, and 13 of them are hearts. Four cards are dealt, one at a time, off the top of a well-shuffled dec

irga5000 [103]

Answer:

10.97%

Step-by-step explanation:

There are 52 cards.

13 of them, are hearts.

Then

52 - 13 = 39 cards are not hearts.

4 cards are drawn, we want to find the percent chance that the fourth card is a heart card, but no before.

So the first card can't be a heart card.

because the deck is well-shuffled, all the cards have the same probability of being drawn.

Then the probability of not getting a heart card, is equal to the quotient between the number of non-heart cards (39) and the total number of cards (52), then the probability is:

p₁ = 39/52

The second card also can't be a heart card, the probability is calculated in the same way than above, but now there are 38 non-heart cards and a total of 51 cards (because one card was already drawn) then the probability here is:

p₂ = 38/51

For the third card the reasoning is similar to the two above cases, here the probability is:

p₃ = 37/50

The fourth card should be a hearts card, the probability is computed in the same way than above, as the quotient between the number of heart cards in the deck (13) and the total number of cards in the deck (now there are 49 cards)

then the probability is:

p₄ = 13/49

The joint probability (the probability of these 4 events happening together) is equal to the product between the individual probabilities:

P = p₁*p₂*p₃*p₄

P = (39/52)*(38/51)*(37/50)*(13/49) = 0.1097

The percent chance is the above number times 100%

Percent = 0.1097*100% = 10.97%

3 0

3 years ago

Solve for x<br> x2 - 3|x - 2| - 4x = - 6

SashulF [63]

X=2

2
−
3
(
|
x
−
2
|
)
−
4
x
=
−
6
−
3
(
|
x
−
2
|
)
−
4
x
+
2
=
−
6
Step 1: Add 4x to both sides.
−
3
(
|
x
−
2
|
)
−
4
x
+
2
+
4
x
=
−
6
+
4
x
−
3
(
|
x
−
2
|
)
+
2
=
4
x
−
6
Step 2: Add -2 to both sides.
−
3
(
|
x
−
2
|
)
+
2
+
−
2
=
4
x
−
6
+
−
2
−
3
(
|
x
−
2
|
)
=
4
x
−
8
Step 3: Divide both sides by -3.
−
3
(
|
x
−
2
|
)
−
3
=
4
x
−
8
−
3
|
x
−
2
|
=
−
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
−
2
|
=
−
4
3
x
+
8
3
We know either
x
−
2
=
−
4
3
x
+
8
3
or
x
−
2
=
−
(
−
4
3
x
+
8
3
)
x
−
2
=
−
4
3
x
+
8
3
(Possibility 1)
x
−
2
+
4
3
x
=
−
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
−
2
=
8
3
7
3
x
−
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
−
2
=
−
(
−
4
3
x
+
8
3
)
(Possibility 2)
x
−
2
=
4
3
x
+
−
8
3
(Simplify both sides of the equation)
x
−
2
−
4
3
x
=
4
3
x
+
−
8
3
−
4
3
x
(Subtract 4/3x from both sides)
−
1
3
x
−
2
=
−
8
3
−
1
3
x
−
2
+
2
=
−
8
3
+
2
(Add 2 to both sides)
−
1
3
x
=
−
2
3
(
3
−
1
)
*
(
−
1
3
x
)
=
(
3
−
1
)
*
(
−
2
3
)
(Multiply both sides by 3/(-1))
x
=

2
−
3
(
|
x
−
2
|
)
−
4
x
=
−
6
−
3
(
|
x
−
2
|
)
−
4
x
+
2
=
−
6
Step 1: Add 4x to both sides.
−
3
(
|
x
−
2
|
)
−
4
x
+
2
+
4
x
=
−
6
+
4
x
−
3
(
|
x
−
2
|
)
+
2
=
4
x
−
6
Step 2: Add -2 to both sides.
−
3
(
|
x
−
2
|
)
+
2
+
−
2
=
4
x
−
6
+
−
2
−
3
(
|
x
−
2
|
)
=
4
x
−
8
Step 3: Divide both sides by -3.
−
3
(
|
x
−
2
|
)
−
3
=
4
x
−
8
−
3
|
x
−
2
|
=
−
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
−
2
|
=
−
4
3
x
+
8
3
We know either
x
−
2
=
−
4
3
x
+
8
3
or
x
−
2
=
−
(
−
4
3
x
+
8
3
)
x
−
2
=
−
4
3
x
+
8
3
(Possibility 1)
x
−
2
+
4
3
x
=
−
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
−
2
=
8
3
7
3
x
−
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
−
2
=
−
(
−
4
3
x
+
8
3
)
(Possibility 2)
x
−
2
=
4
3
x
+
−
8
3
(Simplify both sides of the equation)
x
−
2
−
4
3
x
=
4
3
x
+
−
8
3
−
4
3
x
(Subtract 4/3x from both sides)
−
1
3
x
−
2
=
−
8
3
−
1
3
x
−
2
+
2
=
−
8
3
+
2
(Add 2 to both sides)
−
1
3
x
=
−
2
3
(
3
−
1
)
*
(
−
1
3
x
)
=
(
3
−
1
)
*
(
−
2
3
)
(Multiply both sides by 3/(-1))
x
=
2

3 0

2 years ago

Write equation to the line when m=2 and b=-1 Thanks!