In the diagram,
B (5,9)
A (2,3)
the points A, B and C lie on the straight line y = 2x-1
The coordinates of A are (2, 3).
The coordinates of B are (5, 9).
Given that AC = 3AB, find the coordinates of C.
0
y=2x+1
C

Answer:

16

Step-by-step explanation:

[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]

So, the number is 16

Answer:

[tex]9 > x > - 4[/tex]

9 is greater than x and -4 is less than x

Answer:

- 4 < x < 9

Step-by-step explanation:

given 9 is greater than x then x is less than 9 and - 4 < x , so

- 4 < x < 9

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.

To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.

Afternoon temperature = Morning temperature - Temperature drop

Afternoon temperature = 18 degrees - 20 degrees

To perform the subtraction, we have to handle negative numbers:

Afternoon temperature = 18 degrees - 20 degrees

Afternoon temperature = -2 degrees

So, the afternoon temperature in Bangor, Maine, was -2 degrees.

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The height from the ground at which the ladder touched the building is 12feet.

A right-angled triangle is a type of triangle that has three sides and one of its  three angles as 90°.

Analysis:

The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.

let x, be the distance from the foot of the building to the foot of the ladder.

x+7 = height of ladder from building to foot of  building.

length of ladder = 13 feet

using Pythagoras, we have

[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]

169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49

169 = 2[tex]x^{2}[/tex] + 14x + 49

2[tex]x^{2}[/tex] + 14x = 169-49

2[tex]x^{2}[/tex] + 14x  = 120

divide through by 2

[tex]x^{2}[/tex] + 7x - 60 = 0

[tex]x^{2}[/tex] +12x -5x - 60 = 0

(x+12) -5(x+12) = 0

(x+12)(x-5) = 0

x = -12 or 5

Since measurement cannot be negative, therefore x = 5

Height the ladder touches the building is x+7 = 5+7 = 12 feet

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Answer:

1. Blue = 8 votes

2. Green = 4 votes

3. Yellow = 6 votes

4. Red = 2 votes the first 2 votes one

5. Pink = 2 votes the second one that says 2 votes.

Step-by-step explanation:

okay I understand this.

You just use the colors from above and fill them in in order.

Answer:

1.blue has got 8 number of votes

2.yellow has got 4 number of votes

3.green has got 6 number of votes

4.red has got 2 number of votes

and the last one is written there

Explanation:

I hope it helps

If g(x) = 1/(3x²), the by the definition of the derivative, we have

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]

[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]

Answer:

In the explanation

Step-by-step explanation:

AB = line segment

ABC = angle

AB = line segment

CD = intersecting line

AC = line segment

AB = line segment

EBC = angle

BC = line segment

Answer:

C
You have to use radius not the diameter

Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

Answer:

73

Step-by-step explanation:

(7.7 * 2) + (9.6 * 6) = 74

To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

I assume you mean the equation

√(2x) = x - 4

Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.

(√(2x))² = (x - 4)²

2x = x² - 8x + 16

x² - 10x + 16 = 0

(x - 8) (x - 2) = 0

x - 8 = 0   or   x - 2 = 0

x = 8   or   x = 2

If x = 2, then x ≥ 4 is false. The only solution is then x = 8.

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps

Answer:

a = 25 m²

b = 5 m

c = 7.94 m

d = 35.73 m²

Code:    H I A B

Step-by-step explanation:

Formulae

Pythagoras’ Theorem:    [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Area of a square = x²  (where x is the side length)

------------------------------------------------------------------------------------------------------

Assuming that all the quadrilaterals are squares.

Side length of blue square with area 16 m² = √16 = 4 m

Side length of yellow square with area 9 m² = √9 = 3 m

Use Pythagoras' Theorem to find the length of b:

[tex]\implies 4^2+3^2=b^2[/tex]

[tex]\implies b^2=25[/tex]

[tex]\implies b=\sqrt{25}[/tex]

[tex]\implies b=5\: \sf m[/tex]

Now we have found length b, we can find area a:

[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]

Side length of purple square with area 144 m² = √144 = 12 m

Side length of green square with area 81 m² = √81 = 9 m

Use Pythagoras' Theorem to find the length of c:

[tex]\implies 9^2+c^2=12^2[/tex]

[tex]\implies c^2=63[/tex]

[tex]\implies c=\sqrt{63}[/tex]

[tex]\implies c=3\sqrt{7}[/tex]

[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]

Now we have found length d, we can find area d:

[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]

Code:    H I A B

Find b

#a

Area

H

#b

Done already

#c

A

#d

B

Code is

Answer:

The proportion defined by the null hypothesis.

Step-by-step explanation:

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

The measure of the angle A is,

[tex]m\angle A=71^o[/tex]

The measure of the angle C in a semicircle is,

[tex]m\angle C=90^o[/tex]

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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Answer:

x = 63

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Applying the Angle Sum of Quadrilaterals,

Answer:  33 is your answer my love.

Step-by-step explanation: Hope this helps.

Answer:

33 give the guy above me branliest

Step-by-step explanation:

Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

the answer to that is -120

Step-by-step explanation:

-120+74=-46

Answer:

k = -120

Step-by-step explanation:

k + 74 = -46

Subtract 74 from both sides:

k + 74 = -46

    - 74  - 74

k = -120

Final answer: k = -120

Hope this helps!

Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

Money earned (after donation and sales) :

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

The loss percentage is 1%

Answer:

c

Step-by-step explanation:

got it right on edge