Find the missing side of triangle

4x - 7 = 3x + 9

x = 16

they're equal because they are opposites by the vertex.

hope it helps :)

Answer:

See explanation

Step-by-step explanation:

It should be 9x² not x²

p = (3x + 1) and q = (3x - 1)

pq + 1 = (3x + 1)(3x - 1) + 1

= (9x² - 3x + 3x - 1) + 1

= (9x² - 1) + 1

= 9x² - 1 + 1

= 9x²

Therefore,

pq + 1 = 9x²

Step-by-step explanation:

51 is not a prime number because it is divisible by 1,3 and 17

and we know prime number are only those number who arenot divisible by any other number except 1

Answer:

57 is divisible by 1,3,19 and 57

Step-by-step explanation:

A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc

Answer:

Step-by-step explanation:

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[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]

θ is given to be in the fourth quadrant (270° < θ < 360°) for which sin(θ) < 0 and cos(θ) > 0. This means

cos²(θ) + sin²(θ) = 1   ==>   sin(θ) = -√[1 - cos²(θ)] = -3/5

Now recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ)

==>   sin(2θ) = 2 (-3/5) (4/5) = -24/25

Answer:

B

Step-by-step explanation:

The correct answer is B, answered by Gauthmath

Answer:

Step-by-step explanation:

[tex]log_8(1000) = log_2(1000)/log_2(8) = log_2(1000)/3[/tex]

[tex](1/3)log_2(1000) = log_2(1000^{(1/3)}) = log_2 10[/tex]

1/6 = 1 batch, 2/6 = 2 batches and so on

if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.

hope it helps :)

B. x = 5

tip : if in a rush just plug in the number and see if its true

8x - 4 = 36

x = 5

Answer:

35 ways

Step-by-step explanation:

The selection process in the given question can be referred to as combination, since 4 pairs of jeans are to be selected from the 7 pairs. There is no specific pattern of selecting the 4 pairs.

Thus, the selection can be done in 7[tex]C_{4}[/tex] ways.

7[tex]C_{4}[/tex] = [tex]\frac{7!}{(7-4)!4!}[/tex]

      = [tex]\frac{7!}{3!4!}[/tex]

      = [tex]\frac{7*6*5*4!}{3*2!4!}[/tex]

      = 7 x 5

      = 35

Therefore, 4 pairs of jeans can be selected from 7 pairs in 35 ways.

Answer:

[tex]8[/tex]

Step-by-step explanation:

Hope it helps you:D

*copied*

Answer:

"8"

4,6,8

Step-by-step explanation:

Answer:

g(x) will be dilated horizontally to get f(x)

Step-by-step explanation:

Given

f(x) = g(kx) --> the correct equation

Required

The effect of k

The given equation is an illustration of horizontal dilation.

If |k| is greater than 0, then the function will be compressed.

However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.

Take for instance:

f(x) = g(x/5)

In the above function, g(x) will be stretched by 5 units

Another instance is:

f(x) = g(x/0.5)

In the above function, g(x) will be stretched by 0.5 units

Answer:

216 cm^2

Step-by-step explanation:

15^2 -3^2 = 225 -9

= 216

Answer:

-3

Step-by-step explanation:

because as you vo more to the negative side the less.it gets and more to the positive side it gets moe

Please look at the scanned picture.

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

s² + s² = 2²

2s² = 4 ( divide both sides by 2 )

s² = 2 ( take the square root of both sides )

s = [tex]\sqrt{2}[/tex]

Answer:

E.

Step-by-step explanation:

we know the diagonal of the square : 2

as you can see in the picture, there is a right-angled triangle with the baseline of Hypotenuse being the diagonal, and 2 times s being the 2 sides.

that means we can use Pythagoras to calculate s :

2² = s² + s²

4 = 2s²

2 = s²

s = sqrt(2)

Answer: Third Choice. 9

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.    

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

4x + 2y -1

x = 3, y = -1

Substitute the value of x and y

4(3) + 2(-1) - 1

Simplify by multiplication

12 - 2 - 1

Simplify by subtraction

9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Hello!

4x= 4*3 = 12

2y = 2*-1 = -2

12-2  -1= 9

Answer:

k=10

Step-by-step explanation:

Brainliest please~

Answer:

K=10

Step-by-step explanation:

Correct on Plato

Do it by your self  ok ???

Answer:

FG = 7

Step-by-step explanation:

We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:

EF = 7

EH = 3

HF =?

EF² = EH² + HF²

7² = 3² + HF²

49 = 9 + HF²

Collect like terms

49 – 9 = HF²

40 = HF²

Take the square root of both side

HF = √40

Finally, we shall determine FG. This can be obtained as follow:

GH = 3

HF = √40

FG =.?

FG² = GH² + HF²

FG² = 3² + (√40)²

FG² = 9 + 40

FG² = 49

Take the square root of both side

FG = √49

FG = 7

Answer:

Step-by-step explanation:

Arrange the data set in ascending order. then find the median.

Data in ascending order:

2,  5 , 6 , 7 , 8 , 11 , 15

Median = 7

Lower quartile:

Then  again find the median of the numbers from the first to the number before the median. This is the lower quartile.

2 , 5, 6

Median = 5  ----> this  is the lower quartile.

Upper quartile:

Then  again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.

8 , 11 , 15

Median = 11 ------> is the upper quatile

Answer:

62°

Step-by-step explanation:

Inscribed Angle Theorem

Inscribed angles measures are 1/2 of the arc they create.

m∠FJH x 2 = arc FH

Just take the 31° and double it.

Given:

your speed = 70 mph

Your friend's speed = 75 mph

You want to drive at least 500 miles per day.

You also plan to spend no more than 10 hours driving each day.

To find:

The system of linear inequalities that represents this situation.

Solution:

Let x be the number of hours you drive and let y represents the number of hours your friend will drive.

You also plan to spend no more than 10 hours driving each day.

[tex]x+y\leq 10[/tex]

Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.

You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.

[tex]70x+75y\geq 500[/tex]

[tex]5(14x+15y)\geq 500[/tex]

Divide both sides by 5.

[tex]14x+15y\geq 100[/tex]

Therefore, the required system of inequalities has two inequalities [tex]x+y\leq 10[/tex] and [tex]14x+15y\geq 100[/tex].

Answer:

[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]

Step-by-step explanation:

This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).

Thus,

[tex]\lim_{x\rightarrow \infty}f(x)=-\infty,\\\lim_{x\rightarrow-\infty}f(x)=-\infty[/tex]

This corresponds with the first answer choice listed:

[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]