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3 years ago

Find the value of x in the given parallelogram. Only write the number value of x. *

Mathematics

1 answer:

aniked [119]3 years ago

7 0

Answer:

Step-by-step explanation:

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{ y = - 4x-23-4x-3y=13

sleet_krkn [62]

For this case we have the following system of equations:

$y = -4x-23\\-4x-3y = 13$

We solve by the substitution method:

We substitute the first equation in the second equation:

$-4x-3 (-4x-23) = 13$

We apply distributive property considering that $- * - = +:$

$-4x + 12x + 69 = 13\\8x + 69 = 13$

We subtract 69 from both sides of the equation:

$8x = 13-69\\8x = -56$

We divide by 8 on both sides of the equation:

$x = \frac {-56} {8}\\x = -7$

We look for the value of the variable y:

$y = -4 (-7) -23\\y = 28-23\\y = 5$

Thus, the solution of the system is $(x, y): (-7,5)$

Answer:

$(x, y): (-7,5)$

7 0

4 years ago

Using the graph provided, find f(x)=2

natali 33 [55]

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

6 0

3 years ago

Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He

My name is Ann [436]

Answer:

Use the explantion to answer your question

Step-by-step explanation:

Amount he paid for first 20 shares

= $25 + (20 x $10.51)

= $25 + $210.20

= $235.20

Amount he paid for next 20 shares

= $25 + (20 x $8.93)

= $25 + $178.60

= $203.60

Thus, total amount paid

= $235.20 + $203.60

= $438.80

5 0

3 years ago

Read 2 more answers

There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t

FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

$=\frac{9!}{5! \ 4!}$

$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$

= 126

7 0

3 years ago

H=−4.9t2+25t

lina2011 [118]

ANSWER

EXPLANATION

The equation that expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground is

$h(t) = - 4.9 {t}^{2} + 25t$

To find the time when the ball hit the ground,we equate the function to zero.

$- 4.9 {t}^{2} + 25t = 0$

Factor to obtain;

$t( - 4.9t + 25) = 0$

Apply the zero product property to obtain,

$t = 0 \: or \: \: - 4.9t + 25 = 0$

$t = 0 \: \: or \: \: t = \frac{ - 25}{ - 4.9}$

t=0 or t=5.1 to the nearest tenth.

Therefore the ball hits the ground after approximately 5 seconds.

4 0

3 years ago

Read 2 more answers