MATHEMATICS HIGH SCHOOL

What is the arc measure of ABC in degrees?with

(20y - 11)

(4y +6) AP

(7y - 7)

Answers

Answer 1

Answer:

Answer:

The measure of arc ABC is 283°.

Step-by-step explanation:

We know that the whole arc is equal to 360°, that means

$AC+AB+BC=360$

Where $AC=7y-7$ , $AB=4y+6$ and $BC=20y-11$ . Replacing these expressiones, we have

$7y-7+4y+6+20y-11=360\n31y-12=360\n31y=360+12\ny=(372)/(31)\ny=12$

But, arc ABC is defined by the sum of arcs AB and BC:

$ABC=AB+BC=4y+6+20y-11=24y-5=24(12)-5=283$

Therefore, the measure of arc ABC is 283°.

Answer 2

Answer:

Arc measure of ABC is 283°

Step-by-step explanation:

We know the total angle of the circle is 360°.

Therefore,

(20y - 11) + (4y +6) + (7y - 7) = 360°

Collecting like terms, we have:

20y + 4y + 7y = 360 + 7 - 6 + 11

31y = 372

Let's divide both sides by 31.

$(31y)/(31) = (372)/(31)$

y = 12

The arc measure of ABC is the sum of AB and BC. To find the arc measure of ABC, we have:

(4y +6) + (20y - 11)

Collecting like terms, we have:

4y + 20y + 6 - 11

24y - 5

Let's substitute 12 for y

24(12) - 5

288 - 5 = 283°

Arc measure of ABC is 283°

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Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.

Answers

Step-by-step explanation:

The question is not well written. Let us say the function given as expressed as;

f(x) = -1/x + 3/x⁴

f'(x) means we are to differentiate the function with respect to x;

Given f(x) = axⁿ

f'(x) = naxⁿ⁻¹

f(x) = -x⁻¹ + 3x⁻⁴

Applying the differentiation formula we will have;

f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹

f'(x) = x⁻²-12x⁻⁵

Express as a fraction

f'(x) = 1/x²-12/x⁵

To get f'(4), we will have to substitute x = 4 into the resulting expression

f'(4) = 1/4²-12/4(5)

f'(4) = 1/16-12/20

f'(4) = 1/16-3/5

Find the LCM

f'(4) = (5-48)/80

f'(4) = -43/80

Note that the function used was assumed but the same method can be employed to any other functions.

Rewrite in simplest terms:

10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)

ASAP

Answers

The answer is 2(3g-43h)

How do i solve divide 5/8 by 50%

Answers

50% is $(50)/(100)$
We have two ways to do this, pick your favor:
either by fractions:
$(5)/(8)$ ÷ $(1)/(2)$
( $(50)/(100) = (1)/(2)$
Multiply by the reciprocal of $(1)/(2)$ which is 2(flip it)

$(5)/(8)$ × 2 = $(5)/(4)$ = 1.25

Or change them to decimals:
$(5)/(8) = 0.625$
$(50)/(100)$ = 0.5

0.625 ÷ 0.5

0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
1.25
5 I 6.25
-5
12
-10
25
-25
0

0.625 ÷ 0.5 = 1.25

Fraction: least to greatest...

2/3, 9/16, 0.52

Answers

The answer is .52 9/16 2/3

Your answer is: 0.52, 9/16, 2/3. Those are your answers.

PLZ PLZ PLZ HELP ME :( IM CRYING RIGHT

Answers

Answer:

Step-by-step explanation:

x = 150

1/3 x = 50

x -20 = 30

x -10 = 140

Are u ok ????

Solve the equation by completing the square. Round to the nearest tenth.x^2 + 8x = 10

A. 1.1, 9.1
B. 1.1, -9.1
c. -1.1, 9.1
D. -1.1, -9.1

Answers

B.
1.1, -9.1

$x^(2) +8x=10$

Answer: The correct option is (B) 1.1, -9.1.

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square.

$x^2+8x=10~~~~~~~~~~~~~~~~(i)$

In completing the square method, we need to make left hand side of the above given equation as a perfect square trinomial.

From equation (i), we have

$x^2+8x=10\n\n\Rightarrow x^2+2* x* 4+4^2=10+4^2\n\n\Rightarrow (x+4)^2=10+16\n\n\Rightarrow (x+4)^2=26\n\n\Rightarrow x+4=\pm√(26)\n\n\Rightarrow x=-4\pm √(26)\n\n\Rightarrow x=-4\pm 5.09\n\n\Rightarrow x=-4+5.09,~~~~~x=-4-5.09\n\n\Rightarrow x=1.09,~~~~~~~~~\Rightarrow x=-9.09.$