10. If I is the midpoint of SU, find x.
8x + 11
12x – 1
S
U
8x+1=RX-1

Answer:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].

Step-by-step explanation:

The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)

Make use of the fact that:

[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].

Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:

[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].

[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].

[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].

Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].

Answer:

I = $360

Step-by-step explanation:

Calculate the interest I using

I = PRN

with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then

I = $1500 × 0.03 × 8 = $360

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

Answer:

A,C,D

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

Answer:

i had this question a little while back and the right answer was

d. a satellite orbiting the Earth.

(:

Answer:

1/sec is rhe answer of 2 cos A

9514 1404 393

Answer:

  15.78%

Step-by-step explanation:

Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...

  159.00 = 6(x(167.91))

  x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%

Alec will need to save 15.78% of his pay.

_____

Additional comment

We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.

Answer:

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

Answer:

B. [tex]\frac{5}{8}[/tex]

Explanation:

Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.

Step-by-step explanation:

q17

[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]

q18

[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]

q19

[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]

q20

[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]

q21

[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]

q22

[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]

Answer:

The last one

Step-by-step explanation:

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

Answer:

C. 1130

BRAINLIEST, PLEASE!

Step-by-step explanation:

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

The value of the missing number is 1130.

The missing number in the series can be determined by finding the common difference or pattern of the numbers.

let the common difference = d

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

Thus, the value of the missing number is 1130.

Learn more about missing numbers here: https://brainly.com/question/1241542

Answer:

-15/2

Step-by-step explanation:

5(x + 8) - 2x = 7(x + 10)

=> 5x + 40 - 2x = 7x + 70

=> 3x + 40 = 7x + 70

=> 3x - 7x = 30

=> -4x = 30

=> x = -30/4

=> x = -15/2

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

37

Step-by-step explanation:

Answ 925

Step-by-step explanation:

Answer:

6 buses

Step-by-step explanation:

i believe you just have to divide 380/68

then it'll give you 5.5 and then have to round to the nearest integer

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

Answer:

1008 inches

Step-by-step explanation:

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Answer:

[tex] \frac{1107}{100} - 10x[/tex]

Step-by-step explanation:

[tex]5x2 + 7\% - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + 7\% - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + \frac{7}{100} - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + \frac{7}{100} - 4 - 10x + 5[/tex]

➡️ [tex]11 + \frac{7}{100} - 10x[/tex]

➡️ [tex] \frac{1107}{100} - 10x[/tex]

Answer:

46 and 22

Step-by-step explanation:

22 x 2 = 44

44 is 2 less than 46

46 x 22 = 1012

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x= -11

Step-by-step explanation:

5x+2=4x-9 subtract 2 from both sides

5x+2-2=4x-9-2

5x=4x-11 subtract 4x from both sides

5x-4x=4x-4x-11

x= -11

hope that helps>3