In the diagram, AC is a diameter of cirde O. If the slope of BC is -7'
s the slope of A8?
OA
ANI-

Answer:

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

b) 546

Step-by-step explanation:

a)

We need to try to factor the polynomial.

6(-4) = -24

6x² - 8x + 3x - 4 = 2x(3x - 4) + 1(3x - 4) =

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

b)

6(10)² - 5(10) - 4 = 600 - 50 - 4 = 546

Answer:

(a) when x = 2:    width = 2 units   and     length = 5 units

(b) 546 units²

Step-by-step explanation:

Given expression:

[tex]6x^2-5x-4[/tex]

Part (a)

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]

Two numbers that multiply to -24 and sum to -5:  -8 and 3

Rewrite [tex]b[/tex] as the sum of these 2 numbers:

[tex]\implies 6x^2+3x-8x-4[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 3x(2x+1)-4(2x+1)[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (3x-4)(2x+1)[/tex]

Therefore:

[tex]\implies x=\dfrac{4}{3}, \: x=-\dfrac{1}{2}[/tex]

As distance is positive, [tex]x > \dfrac{4}{3}[/tex]

Let [tex]x=2[/tex]

[tex]\implies (3(2)-4)(2(2)+1)[/tex]

[tex]\implies (2)(5)[/tex]

Therefore, possible dimensions of the rectangle are:

width = 2 units

length = 5 units

Part (b)

Substitute [tex]x=10[/tex] into the equation:

[tex]\begin{aligned}\implies 6(10)^2-5(10)-4&=600-50-4\\&=546\end{aligned}[/tex]

Answer:

Help with what, I may be able to help. :)

Answer:

90

Step-by-step explanation:

There are 15 packa of 6 cards in each pack. You could either do it the long way and count it out on paper or just times 15x6 and it equals 90.

Answer:

42 cm²

Step-by-step explanation:

the length of the shaded area is the length of the white rectangle, that is

length = 7 cm

the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is

width = 7 - (2 × 0.5) = 7 - 1 = 6 cm

shaded area = length × width = 7 × 6 = 42 cm²

Step-by-step explanation:

B²=a²+c²

12²=4.2²+c²

144=16.4+c²

144-16.4=c²

127.6=c²

√127.6=√c²

11.3=c

Answer:

13.5

Step-by-step explanation:

total boxes of granola is = 3 + 2 + 1

                                         =  6 boxes

6 boxes = 57 bars

1 box  =  57 / 6

1 box  = 9.5 + 3

           = 13.5 (ANS)

i hope my ans is correct if not i apologise.

Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.

Step-by-step explanation:

Answer:

900 trucks on a highway with 3600 vehicles

Step-by-step explanation:

3 out of 12 is also 1/4  (one quarter)

so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles

hope this helps :))

Answer:

A C F G H J ARE THE FIGURES WHERE AB IS AN ALTITUDE

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

Answer:

the real awnser is b

Step-by-step explanation:

The statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.

Efficient use of water is necessary so as to prevent the wastage of water. Although 3/4th of the earth is covered with water, the sustainable use of water is necessary so as to preserve the pure water for the future generations. The statement that best describes why the author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.

Therefore, the statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.

To solve more questions on Water Efficiency Strategies, visit the link-

https://brainly.com/question/23634600

#SPJ2

Answer:

right triangle

Step-by-step explanation:

Hey there!

A triangle has to have three vertices that add up to 180 degrees

The angle measurments 50 and 40 are already given and added up, they equal 90 degrees

Now out of 180 degrees, 90 degrees is already shown

What you need to do now is try to find how much more degrees you need to get 180 degrees

As you know 180-90=90

So this means that the missing angle is 90 degrees

Now that we know this, we can find out what type of triangle this is

Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle

A right triangle is a triangle that has an angle that is equal to 90 degrees

So this triangle is a right triangle

Answer:

Figure RST is congruent to figure R’S’T’.

Step-by-step explanation:

Answer:

y = 2/3x - 1 (or y = 2/3x + -1 to fit the graphic)

Step-by-step explanation:

Slope intercept form is written as (y = mx + b) where m is slope and b is the y intercept.

First you need to find the slope, m. We'll use the two points (-3, -3) and (3, 1)

m = (y2 - y1) / (x2 - x1)

m = (1 - (-3)) / (3 - (-3))

m = 4/6

m = 2/3

Next we need the y intercept, b. On the graph we can see that is -1 but we can also find it substituting the known slope and one point on the line for our values to solve for b. We'll use (3, 1) as the point.

y = mx + b

1 = 2/3 * 3 + b

simplify 2/3 * 3

1 = 2 + b

subtract 2 from both sides

-1 = b

Now we have all the values we need to plug into our slope intercept equation (m = 2/3, b = -1)

y = mx + b

y = 2/3x - 1

[tex]\sf{y=\displaystyle\frac{2}{3} x-1[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Some vocabulary we should know:

mx = slope while b is the y-intercept.

-3x = x

6y = y

BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.

- daintysword

Answer:

GDP decreases and Debt increases

Step-by-step explanation:

Answer:

x = 0.5

Step-by-step explanation:

2-5x/-3+4 < -x is simplified to 2-5x/1<-x because -3+4 is 1.

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

The domain of a function is the point where the real value of the function exists.

Given the funciton

f(x) = x - 7/x+8

The function will exist on all real values except the point where the denominator is zero.

x + 8 = 0

x = -8

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

Learn more on domain here: https://brainly.com/question/25959059

Step-by-step explanation:

IF THE TEMPERATURE WAS -5° AT 5:00 am., WHAT WAS THE TEMPERATURE AT 9:00 am?

Answer:

Slope formula:

RISE: y2(second y-coordinate) - y1(first y-coordinate)

        ____________________________________

RUN: x2(second x-coordinate) - x1(first x-coordinate)

y2 - y1 / x2 - x1

Plug in what we have in the order given in the formula:-

 12 - 6           6

______ = ______, which simplifies to 2.

  7 - 4            3

Therefore, 2 is the slope of this equation.

Answer:

Slope: 2

Step-by-step explanation:

Given points:

Slope formula: (y₂ - y₁)/(x₂ - x₁)

1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:

2. Simplify the fraction. The quotient will be the slope of the line.

Thus, the slope of the line is 2.

Answer:

the answer is 0.062

Step-by-step explanation:

i hope this helps pls make as brainliest

Answer:

15

Step-by-step explanation:

The range from Q1 to Q3 is the interquartile range (IQR).

The interquartile range is the difference between the third and first quartiles.

The third quartile is 17.5.

The first quartile is 2.5.

The interquartile range = 17.5 - 2.5 = 15.

Step-by-step explanation:

(x-2)^3 = x^3-6x^2+12x-8

-(x^3-6x^2+12x-8)=

-x^3+6x^2-12x+8

-x^3+6x^2-12x+8 -5=

y=-x^3+6x^2-12x+3

I attached the picture

Answer:

NOT D graph 4

Step-by-step explanation:

Answer:

a)  y = (x - 3)²

b)  y = x² - 4

c)  y = (x + 2)²

d)  y = x² + 5

e)  y = (x + 6)² - 7

f)  y = (x - 2)² + 5

Step-by-step explanation:

Parent equation:  y = x²

Transformed equation:  y = (x - h)² + k

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

a) The parabola moves 3 units to the right:  

⇒ y = (x - 3)² + 0

⇒ y = (x - 3)²

b) The parabola moves 4 units down:

⇒ y = (x - 0)² - 4

⇒ y = x² - 4

c) The parabola moves 2 units left:  

⇒ y = (x + 2)² + 0

⇒ y = (x + 2)²

d) The parabola moves 5 units up:  

⇒ y = (x - 0)² + 5

⇒ y = x² + 5

e) The parabola moves 7 units down and 6 units left:  

⇒ y = (x + 6)² - 7

f) The parabola moves 2 units right and 5 units up:  

⇒ y = (x - 2)² + 5

#a

Equation

#b

4 units down in y axis

#c

2 units left in x axis

#d

5 units up in. y axis

#e

7units down in y axis and 6 units left in x axis

Answer:

2/3

Step-by-step explanation:

2/9+4/9=6/9

6/3=2   9/3=2

6/9=2/3