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3 years ago

Which of the following is the x-coordinate of the solution to the system shown below

Mathematics

2 answers:

dedylja [7]3 years ago

7 0

Answer:

Step-by-step explanation:

lyudmila [28]3 years ago

6 0

Answer is x = 7

if u plug in 7 in the second expression, we can get 7 - y = 4, isolate y and then we get 3.

Now, plug in 7 in the first equation to get 2(7) + y = 17. that results to 14 + y = 17. isolate y again and then thats also 3.

so:
x = 7
y = 3

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An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss

kicyunya [14]

Answer:

B.35

Step-by-step explanation:

The sequence is

14, ,56,....

14 , x , 56

Think of it as 14 + d = x

x+ d = 56

d is the common difference

We now have 2 equations and 2 unknowns

Substitute the first equation in for x into the second equation

x+d =56

(14+d) +d = 56

Combine like terms

14 + 2d = 56

Subtract 14 from each side

14-14 + 2d = 56-14

2d = 42

Divide by 2

2d/2 =42/2

d = 21

The common difference is 21

Now we can find x

14 + d = x

14+ 21 = x

35 =x

The unknown term is 35

5 0

3 years ago

The sum of two numbers is 100. Five times the smaller number is eight more than the larger

crimeas [40]

Answer:The larger of two numbers is 8 more than 4 times the smaller if the larger number is increased by four times the smaller the result is 40. From this statement, we can calculate the values of the numbers where you get the value of the larger number to be 24 and that of the smaller number to be 4.

Step-by-step explanation:

4 0

2 years ago

Simplify as far as possible without a calculator.√2(4√7+3√2)

kvv77 [185]

$\sqrt{2} (4 \sqrt{7} + 3\sqrt{2} )$

$\sqrt{2} (4 \sqrt{7} ) + \sqrt{2} (3 \sqrt{2} )$

$4 \sqrt{14} + 3(2)$

$4 \sqrt{14} + 6$

7 0

2 years ago

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

2 years ago

Based on the box-and-whisker plot shown below, match each term with the correct value.

olga55 [171]

Here are the numbers that represent each based on the box plot:

Median: 11 (located at the vertical line in the middle of the box)
Range: 19 - 7 = 12 (highest value - lowest value)
25%: 9 (at the left end of the box)
75%: 14 (at the right end of the box)
Interquartile range: 14 - 9 = 5 (the distance from the beginning to the end of the middle half of the data)

3 0

3 years ago