factor 3x^2 + 10x +8

Answer:

∠ ABD = 19°

Step-by-step explanation:

Since AB and BC are congruent, then Δ ABC is isosceles and the base angles are congruent, that is

∠ BAD = ∠ BCD = 71° , thus

∠ ABC = 180° - (71 + 71) ← angle sum of triangle

∠ ABC = 180° - 142° = 38°

DB is an angle bisector , thus

∠ ABD = 0.5 × 38° = 19°

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

[tex]r=12[/tex]

[tex]A=24\pi[/tex]

[tex]\theta = x[/tex]

We know that, area of a sector is

[tex]A=\dfrac{\theta }{360^\circ}\pi r^2[/tex]

Where, [tex]\theta[/tex] is central angle, r is radius.

[tex]24\pi=\dfrac{x}{360^\circ}\pi (12)^2[/tex]

[tex]24\pi=\dfrac{x}{360^\circ}\pi (144)[/tex]

[tex]\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}[/tex]

[tex]\dfrac{1}{6}=\dfrac{x}{360^\circ}[/tex]

Multiply both sides by 360 degrees.

[tex]\dfrac{1}{6}\times 360^\circ=x[/tex]

[tex]60^\circ=x[/tex]

The value of x is 60 degrees.

Therefore, the correct option is A.

Jillian is incorrect because the shown graph is not a radical function but a logarithmic function instead. Both radical and logarithmic increase for f(x) when x increases as well.

Note that radical functions do not have any asymptotes, that includes vertical and horizontal.

The shown graph is a logarithmic function. The name already says it. The logarithmic function is part of logarithmic where the equation is

[tex] log_{a}(m) = n[/tex]

foster can make 42 1/4-pound turkey sandwiches

explanation: 10.5 divided by 1/4 is 42

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

Answer:

The answer is 788

Answer:

28.52?

Step-by-step explanation:

Answer: -0.5

Step-by-step explanation:

We can see that at x=0 that Y=2, when x=2, y=1, so we do the x1 - x2 = -2 and y1-y2 = 1

Then we do 1 / -2 = -0.5

The average rate of change is -0.5

Answer:

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Step-by-step explanation:

We need to find the range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​

Basically, we need to find value of y when x is -12,-4 8

The values of y is the range of the given function.

Put x = -12

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-12) + 17\\y=3(-3)+17\\y=-9+17\\y=8[/tex]

When x = -12, y= 8

Put x = -4

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-4) + 17\\y=3(-1)+17\\y=-3+17\\y=14[/tex]

When x = -4, y = 14

Put x = 8

[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (8) + 17\\y=3(2)+17\\y=6+17\\y=23[/tex]

So, when x = 8, y = 23

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Answer:

The range of  the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Answer:

point A = (3,9)

point D = (9,3)

point B = (6,5)

point C = (5,6)

Step-by-step explanation:

there's not really much to explain so yeah.

so the one located at 3,9 would be A

the one that says 9,3 that would be D

the one that says 6,5 would be B

and 5,6 would be C

Step-by-step explanation:

what u should do is to start from the x axis which is at the bottom so eg u have 4,5...4 would go at the X axis and the 5 would go at the Y axis..so u should always start from the x axis basically

hoped this helped

Answer:

Each piece would be 1.8 yards, or in fraction form, [tex]1 \frac{4}{5}[/tex].

Step-by-step explanation:

Just turn 14 2/5 into a decimal, which is 14.4. Then, divide it by 8 using a calculator, and 14.4/8 equals 1.8. In fraction form, this is [tex]1 \frac{4}{5}[/tex].

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck with your assignment. :)

Answer:

1.8

Step-by-step explanation:

First, to make this easier, let's turn the fraction to a whole number

14[tex]\frac{2}{5}[/tex] = 14.4

If we want to cut it into 8 equal pieces, let's divide this number by 8

14.4 ÷ 8 = 1.8

Answer:

Takis in my opinion :))))))

Answer:

the first one

Step-by-step explanation:

Answer:

dont know

Step-by-step explanation:

sorry

Answer:

1.=0

2.0

Step-by-step explanation:

Answer:40 x 4

Step-by-step explanation:

Answer:

1250 bacteria

Step-by-step explanation:

The formula for Exponential Growth is given as:

P(t)= Poe^rt

Where

P(t) = Population after time t

Po = Initial Population

r = growth rate

t = time

Hence, solving for the above question , we have to find Po

Making Po the subject of the formula

Po = P(t)/e^rt

Step 1

Find the Exponential growth rate

At the end of 3 h there are 10,000 bacteria.

Hence:

Po = 10000/e^3r.... Equation 1

At the end of 5 h there are 40,000 bacteria.

Po = 40000/e^5r..... Equation 2

Equating both equations together,

10000/e^3r = 40000/e^5r

Hence:

e^5r/e^3r = 40000/10000

e^2r = 4

Take the In of both sides

In (e^2r) =In 4

2r= In 4

r = In 4/2

r = In 2

Step 2

Solve for Po(Initial Population)

Using Equation 2

Po = 40000/e^5r..... Equation 2

r = In2

Po = 40000/e^5 × In 2

Po = 40000/2⁵

Po = 1250 bacteria.

Therefore, they was 1250 bacteria initially

Answer:

7.722cm^2

Step-by-step explanation:

area of square=l^2=6^2=36cm^2

area ofcircle=π(d÷2)^2=3.142(6÷2)^2=3.142×9=28.278cm^2

where d=l=6cm

area of shaded =area of (square-circle)=36-28.278=7.722cm^2

Answer:

(-∞,∞)

infinite

Step-by-step explanation:

y= 6x+6; y=6(x+1)

Eliminate the equal sides of each equation and combine

6x+6 = 6(x+1)

solve 6x+6 = 6(x+1) for x

simplify 6(x+1)

apply the distributive property

6x+6 = 6x+ 6*1

multiply 6 by 1

6x+6 = 6x+6

move all terms containing x to the left side of the equation

6=6

and since 6=6, the equation will always be true

The lines y = 6x + 6 and y = 6(x + 1)  which consist a system of equation has infinite no. of solutions.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given a system of equation y = 6x + 6 and y = 6(x + 1) ⇒ y = 6x + 6.

As these lines are coinciding to each other so every point of one line lies onto the other therfore they have an infinite no. of solutions.

learn more about the system of equations here :

https://brainly.com/question/24065247

#SPJ2

4. A y=-3/5x+2

5. D 10

Answer:

keep the first fraction and flip the second turn into multiplication

1/6 / 6/1

1/6 X 1/6= 1/36

Answer:

THE GRAPHS ARE REFLECTED OVER THE Y_AXIS

Step-by-step explanation:

edge 2022

Answer:

21/8

Step-by-step explanation:

okay so what we have to do is called flip n' multiply, so we leave the first fraction the way it is and the second one, we flip. so instead of 3/9, it would be 9/3. now we just do 7/8 times 9/3 to get 63/24 which I believe will be simplified to 21/8

Answer:

Seven eighths divided by three ninths is equal to twenty-one eights.

Step-by-step explanation:

The easiest way to divide one fraction by another is to simply multiply the first one by the second one.  It's that easy:

[tex]\frac{7}{8} \div \frac{3}{9}[/tex]

is exactly the same as:

[tex]\frac{7}{8} \times \frac{9}{3}[/tex]

Which we can then solve by multiplying the numerators by each other and multiplying the denominators by each other

[tex]\frac{7}{8} \times \frac{9}{3}\\\\ = \frac{7 \times 9}{8 \times 3} \\\\ = \frac{63}{24} \\\\ = \frac{21}{8}[/tex]

Another way you can solve it is by noting that in the second number, both the numerator and denominator are divisible by 3, which gives a way to simplify before doing the division:

[tex]\frac{7}{8}\div \frac{3}{9}\\\\= \frac{7}{8}\div \frac{1}{3}\\\\= \frac{7}{8}\times \frac{3}{1}\\\\= \frac{7}{8}\times 3\\\\= \frac{21}{8}[/tex]

Answer:

33.8cm^2/ 2.6= 13cm

Step-by-step explanation:

area of a parallelogram= b (x) h

so all you do is the inverse in these kind of situations

Answer:

43% of 52

Step-by-step explanation:

Answer:

Counterclockwise

Step-by-step explanation:

The cartesian plane is divided into four quadrants. These are numbered from I through IV, starting with the upper right and going around counterclockwise. Hope this helps!

Answer:

Counterclockwise