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1 year ago

Find X and QT. The shape is a Rhombus

Mathematics

1 answer:

kompoz [17]1 year ago

8 0

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

When x = -2 :

QT = (-2)² - 4(-2) - 10
QT = 4 + 8 - 10
QT = 2

When x = 12 :

QT = (12)² - 4(12) - 10
QT = 144 - 48 - 10
QT = 86

The 2 possible answers are :

x = -2, QT = 2
x = 12, QT = 86

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Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides

saul85 [17]

Answer: Team A will choose one of 36 possible lineups.

Step-by-step explanation: Given that Team A and Team B are playing the game of tug-of-war.

Team A has 3 males and 3 females that decides to line up male, female, male, female, male, female.

We are to find the number of possible lineups that Team A can make.

According to the given information,

number of options for the first position = 3,

number of options for the second position = 3,

number of options for the third position = 2,

number of options for the fourth position = 2,

number of options for the fifth position = 1

and

number of options for the sixth position = 1.

Therefore, the number of possible lineups by Team A is

$n=3\times3\times2\times2\times1\times1=36.$

Thus, Team A will choose one of 36 possible lineups.

4 0

2 years ago

I think one of them is x-100.

vova2212 [387]

The second answer.
You have the first prize, x.
Then you have the second prize, which is x - 50.
Then you have the third prize, which is x - 50 -50, or x - 100.
So the total money is:
x + (x-50) + (x-100).

5 0

2 years ago

Y_Kistochka [10]

Answer:

D) y = -1/2x + 4

Step-by-step explanation:

Points on the graph: (0, 4) and (8, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0 - 4)/(8-0)

m= -4/8

m = -1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = -1/2(x - 0)

y - 4 = -1/2x

y = -1/2x + 4

8 0

2 years ago

2 Points

Inga [223]

Answer:

Step-by-step explanation:

Given

9 - 7x = (4x - 3)² + 5 ← expand the squared factor

9 - 7x = 16x² - 24x + 9 + 5, that is

9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )

0 = 16x² - 17x + 5, that is

16x² - 17x + 5 = 0 ← in standard form → D

4 0

2 years ago

Givers the linear sequence, -2,7,X,Y, 2... Find the value of Z.

Harrizon [31]

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

7 0

2 years ago