factor the equation using zero product property. x2+7x=-6

Answer:

  34°

Step-by-step explanation:

The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.

  a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A

Solving for the angle, we get ...

  A = arccos((b² +c² -a²)/(2bc))

Filling in the numbers with "a" being the shortest side, we have ...

  A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)

  A ≈ 34.113°

The smallest angle, ∠J, is about 34°.

Answer:

b

Step-by-step explanation:

Answer:

the answer should be C,E please give brainliest

Step-by-step explanation

Answer:

C. 360

E. 720

Step-by-step explanation:

note: 2pi radians = 360 degrees.

Cos(x) = 1  whenever x = 2k pi where k is an integer, thus

This translates to

cos(x) = 1 when x=0, 360, 720, 1080, ... degrees.

Between 270 and 810, the angles that satisfy cos(x) = 1 are

360 and 720.

So choose C and E

Answer:

130

Step-by-step explanation:

just did test on plato/edmentum..it was correct

84 (the answer above) is incorrect

Answer:

Hi sorry for late respond but the answer in 130!!

Step-by-step explanation:

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

Answer:

X= -4

X=-2

Step-by-step explanation:

for

|a|=b

assume

a=b and a=-b

so

3-2|0.5x+1.5|=-2

minus 3 both sides

-2|0.5x+1.5|=-1

divide both sides by -2

|0.5x+1.5|=0.5

set negative and postivive

0.5x+1.5=0.5 and 0.5x+1.5=-0.5

solve each

0.5x+1.5=0.5

minus 1.5 both sides

0.5x=-1

times - 2 both sides

x=-2

other

0.5x+1.5=-0.5

minus 1.5 from oth sides

0.5x=-2

times 2 both sides

x=-4

the solutions are x=-2 and x=-4

Answer:

x=-4

Step-by-step explanation:

Answer:

722 √(3) square units

Step-by-step explanation:

Mathematically, the area of a triangle is 1/2 * b * h

But in this question, we have the base which is a while the height is absent

We can use trigonometric ratios since we are given the angle to find the value of the height.

Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent

Mathematically;

Tan 60 = h/a

where h represents the height which we want to calculate

h = a tan 60

But tan 60 = √(3)

So h = a √(3)

Now the area of the triangle will be;

A = 1/2 * a * a √(3)

But a has a value of 38 units.

Substituting this value, we have ;

A = 1/2 * 38 * 38 √(3)

A = 19 * 38√(3)

A = 722 √(3) square units

Answer:

A: -3

Step-by-step explanation:

I got it right on my quiz!

If  equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.

To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.

At the x-intercept, the y-coordinate is zero.

Given the equation of the line as 2x - y = -6.

we can substitute y = 0 since it is the y-coordinate at the x-intercept.

2x - 0 = -6

2x = -6

Divide both sides by 2:

x = -6/2

x = -3

Therefore, the x-intercept of the graph is -3.

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Answer:

2/13

Step-by-step explanation:

In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.

Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.

Hope this helps!

Answer: 9

Step-by-step explanation:

[tex]3^2 + \frac{3}{3}-1\\\\=9+1-1\\\\=9[/tex]

Answer:

A: 39.1304348% OR 39%

B: 33.3%

Step-by-step explanation:

Part A:

find the total amount of children: 90+20+80+40=230

90-20=50

i got this from taking away the amount that like watching tv and not reading so from this you know 50 of those 90 that like watching tv also like tv and reading.

80-40=40

(same explanation as 90-20=50)

then do 50 +40 which equals 90

now you need to turn it into a percentage.

90/230=

9/23

=39.1304348%

if you need round it, do so!

Part b:

40+20=60

20/60= 2/6

=1/3

=33.3%

Answer:

b. x² + 8x + 12 =

1. use the factoring X (see attachment)

2. 6 x 2 = 12; 6 + 2 = 12

3. (x + 6)(x + 2) = 0

4. x = -6, -2

c. x² + 13x + 12 =

1. 12 x 1 = 12; 12 + 1 = 13

2. (x + 12)(x + 1) = 0

3. x = -12, -1

c. x² + x - 12 =

1. 4 · (-3) = -12; 4 - 3 = 1

2. (x +4)(x - 3) = 0

3. x = -4, 3

f. x² + 15x + 36 =

1. 12 x 3 = 36; 12 + 3 = 15

2. (x + 12)(x + 3) = 0

3. x = -12, -3

hope this helps :)

Answer:

b) - (x + 2)(x + 6)

c) - (x + 12)(x + 1)

c) - (x - 3)(x + 4)

f) - (x + 12)(x + 3)

Step-by-step explanation:

Well to factor the given info we need to find the factors.

b)

[tex]x^2 + 8x + 12[/tex]

So 6*2 = 12

6x + 2x = 8x

x*x = x^2

Factored - (x + 2)(x + 6)

c)

[tex]x^2 + 13x + 12[/tex]

Well x*x = x^2

and 12*1 = 12

12x + x = 13x

Factored - (x + 12)(x + 1)

The second c)

[tex]x^2 + x - 12[/tex]

Well x*x = x^2

-3*4 = -12

-3x + 4x = x

Factored - (x - 3)(x + 4)

f)

[tex]x^2 + 15x + 36[/tex]

So x*x = x^2

12*3 = 36

12x + 3x = 15x

Factored - (x + 12)(x + 3)

Thus,

everything factored is (x + 2)(x + 6) , (x + 12)(x + 1) , (x - 3)(x + 4) ,

(x + 12)(x + 3).

Hope this helps :)

Answer:

Step-by-step explanation:

s = 10 so ¹/₂s = 5

Pythagorean theorem:

[tex]h^2+(\frac12s)^2=8^2\\\\h^2+5^2=8^2\\\\h^2=64-25\\\\h^2=39\\\\h=\sqrt{39}=6.2449979....\approx6.2[/tex]

Answer:

100 degrees

Step-by-step explanation:

360-260=100

Answer:

x=100

Step-by-step explanation:

130+130+x=360

260+x=360

x=100

Have a great and magnificent day

Answer:

59.5

Step-by-step explanation:

I know there cannot be half a human running around the school, and I don't exactly remember if you round up or down, but there are a total of 238 juniors in the school. you divide 238 by 4. the girls represent one fourth of the juniors, and the boys represent three fourths. thank you, please mark brainliest!

Answer:

The correct option is;

Because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP

Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.

The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.

These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.

This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.

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Answer:

50 pounds

Step-by-step explanation:

Dan and june mix two kind of feed for pedigreed dogs

Feed A worth is $0.26 per pound

Feed B worth is $0.40 per pound

Let x represent the cheaper amount of feed and y the costlier type of feed

x+y= 70..........equation 1

0.26x + 0.40y= 0.30×70

0.26x + 0.40y= 21.........equation 2

From equation 1

x + y= 70

x= 70-y

Substitutes 70-y for x in equation 2

0.26(70-y) + 0.40y= 21

18.2-0.26y+0.40y= 21

18.2+0.14y= 21

0.14y= 21-18.2

0.14y= 2.8

Divide both sides by the coefficient of y which is 0.14

0.14y/0.14= 2.8/0.14

y= 20

Substitute 20 for y in equation 1

x + y= 70

x + 20= 70

x= 70-20

x = 50

Hence Dan and june should use 50 pounds of the cheaper kind in the mix

Answer:

(f ∘ g)(x) = 0.9x - 100

Step-by-step explanation:

Here in this question, we are interested in calculating (f ∘ g)(x)

From the question, we are given;

f(x) = x -100

g(x) = 0.9x

So (f ∘ g)(x) simply means we shall be representing the x in f(x) with the totality of the value of g(x)

Mathematically, what we are saying is that;

Find (f ∘ g)(x) = 0.9x - 100

Answer:

Half ans is in pic...

now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".

we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.

after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller.  On that time, they covered however, the same amount of ground, since they're on the same bike.

The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.

The amount covered by the large one in 500 cycles, is 500(2πr + 9).

And we know that ground covered, is the same for both, therefore, we also know that   1400(2πr)  =  500(2πr + 9).

Refer to the pic for rest...

Hope it helped

Mark BRAINLIEST!

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               Hi my lil bunny!

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Lets do this step by step.

This is the trigonometric form of a complex number where [tex]|z|[/tex] is the modulus and [tex]0[/tex] is the angle created on the complex plane.

[tex]z = a + bi = |z| (cos ( 0 ) + I sin (0))[/tex]

The modulus of a complex number is the distance from the origin on the complex plane.

[tex]|z| = \sqrt{a^2 + b^2}[/tex] where [tex]z = a + bi[/tex]

Substitute the actual values of a = -5 and b = -5.

[tex]|z| = \sqrt{(-5) ^2 + (-5) ^2}[/tex]

Now Find [tex]|z|[/tex] .

Raise - 5 to the power of 2.

[tex]|z| = \sqrt{25 + (-5) ^2}[/tex]

Raise - 5 to the power of 2.

[tex]|z| = \sqrt{25 + 25}[/tex]

Add 25 and 25.

[tex]|z| = \sqrt{50}[/tex]

Rewrite 50 as 5^2 . 2 .

[tex]|z| = 5\sqrt{2}[/tex]

Pull terms out from under the radical.

[tex]|z| = 5\sqrt{2}[/tex]

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

[tex]0 = arctan (\frac{-5}{-5} )[/tex]

Since inverse tangent of  [tex]\frac{-5}{-5}[/tex]  produces an angle in the third quadrant, the value of the angle is [tex]\frac{5\pi }{4}[/tex] .

[tex]0 = \frac{5\pi }{4}[/tex]

Substitute the values of [tex]0 = \frac{5\pi }{4}[/tex] and [tex]|z| = 5\sqrt{2}[/tex] .

[tex]5\sqrt{2} ( cos( \frac{5\pi}{4}) + i sin (\frac{5\pi}{4}))[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

An imaginary number is denoted by i.

The value of i is √-1.

We have,

To express the complex number (5 - 5i) in trigonometric form,

We first need to find its modulus (r) and argument (θ).

The complex number (a - bi) in trigonometric form is

|r| [cosФ + i sinФ]

Now,

Modulus (r).

|r| = √(5² + (-5)²)

= √(50)

= 5√(2)

And,

Argument (θ).

θ = [tex]tan^{-1}[/tex](-5/5)

  = -π/4

(since the complex number is in the fourth quadrant)

Therefore,

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

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Answer:

1 13/35 (mixed number) or 48/35 (simplified)

Step-by-step explanation:

6/7 times 8/5

= (6 times 8) / (7 times 5)

= 48/35 or 1 13/35

hope this helped :)

Answer:

48/35

Step-by-step explanation:

6/7*8/5=48/35

Answer:

The value of M₁₁ is -6.

Step-by-step explanation:

The minor, [tex]M_{ij}[/tex] is the determinant of a square matrix, say P, formed by removing the ith row and jth column from the original square matrix, P.

The matrix provided is as follows:

[tex]A=\left[\begin{array}{ccc}7&9&-3\\3&-6&5\\4&0&1\end{array}\right][/tex]

The matrix M₁₁ is:

Remove the 1st row and 1st column to form M₁₁,

[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]

Compute the value of M₁₁ as follows:

[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]

       [tex]=(-6\times 1)-(5\times 0)\\\\=-6-0\\=-6[/tex]

Thus, the value of M₁₁ is -6.

Answer:

no

Step-by-step explanation:

The 5x+30 is the supplementary angle of the interior one:

180 - 5x - 30 = -5x + 150

Then they have to add up to 180:

4x-9 + 2x+3 -5x + 150 = 180

which simplifies to x = 36

So the angles would be 135, 75 and -30, which is impossible!

Answer:

A = 1024 pi  units^2

Step-by-step explanation:

If r = 32 units, we can find the area

A = pi r^2

A = pi ( 32) ^2

A = 1024 pi  units^2

The area of the circle C is 1024π square units.

Area is the amount of space occupied by a two-dimensional figure.

The formula for the area of circle is given by

[tex]Area = \pi r^{2}[/tex]

Where,

r is the radius of the circle

According to the question.

We have the radius of circle, r = 32 units

Therefore,

The area of the circle C is given by

[tex]Area = \pi (32)^{2}[/tex]

⇒ [tex]Area = 1024\pi[/tex] square units

Hence, the area of the circle C is 1024π square units.

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Answer:

see below

Step-by-step explanation:

The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).

Hey there! I'm happy to help!

VOTES FOR MUNOZ TO SMITH

32:24

We see that both have a common factor of 8, so we can divide both by that.

4:3

This is in simplest form.

VOTES FOR PARK TO MUNOZ

20:32

We see that both have a common factor of 4, so we divide both by that.

5:8

This is completely simplified.

VOTES FOR SMITH TO TOTAL VOTES

24+32+20=76

24:76

We see that both have a common factor of 4, so will divide both by that.

6:19

We cannot simplify any more here.

VOTES FOR SMITH TO MUNOZ TO PARK

24:32:20

We can divide these all by four, so let's do that.

6:8:5

This can't be simplified anymore, so it is in simplest form.

Have a wonderful day! :D

Answer:  10 hours

Step-by-step explanation:

The 10hp pump takes x hours to empty the pool which means it gets [tex]\dfrac{1}{x}[/tex] of the job done in one hour.

The 6hp pump takes x+5 hours to empty the pool which means it gets [tex]\dfrac{1}{x+5}[/tex] of the job done in one hour.  

Together, they can get [tex]\dfrac{1}{x}+\dfrac{1}{x+5}[/tex] of the job done in one hour.

It is given that together they get the job done in 6 hours which means they get [tex]\dfrac{1}{6}[/tex] of the job done in one hour.

10 hp pump + 6 hp pump = Together

[tex]\dfrac{1}{x}\quad +\quad \dfrac{1}{x+5}\quad =\quad \dfrac{1}{6}[/tex]

Multiply by 6x(x+5) to eliminate the denominator:

[tex]\dfrac{1}{x}(6x)(x+5) +\dfrac{1}{x+5}(6x)(x+5) = \dfrac{1}{6}(6x)(x+5)[/tex]

Simplify and solve for x:

6(x + 5) + 6x = x(x + 5)

6x +  30 + 6x = x² + 5x

       12x + 30 = x² + 5x

                  0 = x² - 7x - 30

                  0 = (x - 10)(x + 3)

                  0 = x - 10         0 = x + 3

                  10 = x             -3 = x

Since the number of hours cannot be negative, disregard x = -3.

So, the only valid answer is x = 10.

Answer:

8.3 %

Step-by-step explanation:

Mayelle earns $18000 per year. Mayelle earning is increased by $19500, to calculate the percentage increase in earnings, we divide the difference between earnings after increase and earnings before increase by the earnings before increase and then multiply the result by 100. The percentage increase is given by:

Increase in pay = (Earnings before increase - earnings after increase) / Earnings before increase × 100%

Increase in pay = ($19500 - $18000)/ $18000 × 100% = 8.3 %

Answer: <CED is the right angle, which measures 90 degrees. Since the measure of a straight angle is 180 degrees. <CEA must also be 90 degrees by the Definition of Right Angle. A bisector cuts the angle measure in half. m<AEB is 45 degrees.

Answer:

B

Step-by-step explanation:

using the equation y=2000*1.2^8 we can get the exact value of y which aligns with b