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brilliants [131]
3 years ago
10

Factor completely 5b^2-11b+6

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

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nasty-shy [4]
That's what it will look like

7 0
3 years ago
Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),
Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(-4-(-4))^2+(-1-7)^2}

AB=\sqrt{(-4+4)^2+(-8)^2}

AB=\sqrt{0+64}

AB=8

Similarly,

BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8

CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8

AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8

All sides of parallelogram are equal.

AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}

BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0
2 years ago
WhiThree-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.
vesna_86 [32]

Answer:

The total members in the Spanish Club  = 50

Step-by-step explanation:

Let the total members in the Spanish Club = x

Now, number of girls in the club = 30

Three-fifths of the members are girls.

⇒ (\frac{3}{5} )  of total members x  =  30

or, (\frac{3}{5})  \times  x =  30\\

Now, solving for x, we get:

x = 30 \times\frac{5}{3}   = 50

or, x   = 50

Hence,the total members in the Spanish Club  = 50

7 0
3 years ago
Writer the equal ratios 6:8,24:32,3/4:1
VARVARA [1.3K]

Answer:

12:16

48:64

3:4

8 0
3 years ago
Read 2 more answers
The table below shows the number of marbles of different colors in a box. A fair coin is shown below the table.
andrezito [222]
First we need to find the probability of selecting the 1 blue marble out of the 20 marbles total, which is 1/20.

Next, we need to find the probability of tossing the fair coin so it lands tails up, which is 1/2.

To find the probability of both events happening, we need to multiply the probabilities of the two individual events:
1/20 * 1/2 = 1/40

So the answer is 1/40, or 2.5%

Sorry about the poor formatting :( I'm on my phone at the moment, which makes it difficult.

Hope I helped, and let me know if you have any questions :D
8 0
2 years ago
Read 2 more answers
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