A RIGHT TRIANGLE HAS SIDES OF LENGTHS 3,4, AND X.
1. FIND X IF IT IS THE HYPOTENUSE

2. FIND X IF IT IS ONE OF THE LEGS!!!

What is (2x² + 9x + 7) = (x + 1) ?

2x² + 9x + 7 = x + 1

2x² + 9x - x + 7 - 1 = 0

2x² + 8x + 6 = 0

2(x² + 4x + 3) = 0

x² + 4x + 3 = 0

x² + 3x + x + 3 = 0

x( x + 3) + 1(x + 3) = 0

(x + 3)(x + 1) = 0

So, option (D) x + 1 is correct. [Answer]

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

Answer:

The answer is B.

Step-by-step explanation:

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

Answer:

2740

Step-by-step explanation:

earnings from commission is 240 (6000x.04). Her base salary 0f 2500 plus commission of 240 = 2740

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

I'm no math braniac, however, I believe the answers are 2 cups; 2/3 cups, 15/2 cups; 2 1/2 cups, and 2/12 cups; 5/6 cups.

I really hope its correct and good luck on your test!

Answer:

B

Step-by-step explanation:

B gives you 8/12, which can be simplified down to 2/3.

Answer:

Part A:

[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]

Part B:

[tex]P_3=0.24321[/tex]

Part C:

[tex]Average\ Number:=1.6817[/tex]

Step-by-step explanation:

Given data:

Mean =μ= 40 calls

Service Rate=λ=18 calls

Solution:

Formula:

[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]

Where i is access lines

Part A:

Probability of 0 access line, i=0:

[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]

[tex]P_0=0.13298[/tex]

Probability of 1 access line, i=1:

[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]

Probability of 2 access line, i=2:

[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]

Probability of 3 access line, i=3:

[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]

Part 2:

Only 3 users can access simultaneously, denied Probability is P_3(4th access line)

[tex]P_3=0.24321[/tex]

Part 3:

Average Number:

[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]

Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

C or B

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the window is truly a rectangle then both diagonals are equal. That's one of the properties of a rectangle.

Answer: 10 feet

Answer:

Slope-intercept form y = mx + b

m = slope (-3)

b = y-intercept (5)

hence, the slope-intercept form is:

y = -3x + 5

This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

68.56 m

Step-by-step explanation:

circumference of semi-circle:  15π/2 = 23.56

23.56 + 12 + 12 + 21 = 68.56

Answer:Distributive

Step-by-step explanation:

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

Answer:

When you are graphing inequalities you know if it's an open circle or closed circle because when the dot is closed it means that the inequality includes the number and when it's open it does not include the number in the inequality.

Step-by-step explanation:

I'm sorry if this isn't the best answer I tried my best:))

Answer:

equilateral acute. Because it is less than 90 and all equal

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].  

[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units

In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value.  If you are looking for the angle of the vector, you need to use the formula,Ф =  [tex]arctan(y/x)[/tex].  But because the x, value is negative, the rule is that we add π to this value.

Plug in the values:

arctan(13/-10) + π = 127.56° or 2.226 radians

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)

Answer:

D   51.3%

Step-by-step explanation:

Number of students who bought popcorn: 80

Total number of students: 156

percent = 80/156 * 100% = 51.3%

Answer:

sides.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

The height in feet of the basketball hoop would be 10 feet.

Step-by-step explanation:

if 1 inch = 5 feet

then 2 inches = 10 feet

Hope this helped :)

Answer:

10 feet I think

Step-by-step explanation:

If 1 Inch is = to 5 feet then 2 inches must be = to 10 inches because 2 x 5 = 10

Answer:

infinitely many solution

Step-by-step explanation:

HOPE IT HELPS

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

Answer:

54,000+800+70+2

Step-by-step explanation:

Answer:

Here is an answer

54,000+800+70+2