solve for x !
[tex]\longrightarrow\bold{4x {}^{2} + 10x + 4 = 0}[/tex]

ty! ~​

Answer:

(1,0)

Step-by-step explanation:

This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.

Answer:

(1,0)

Step-by-step explanation:

The answer is where the ines intersect to form a point.

Square has 4 sides

20 mill for each side

we mutiply all four corners

=80 mill

Attached images. :)

-

Comment if it's confusing, I would love to explain. <3

Answer:

(x+4)² + (y+9)² = 100

Step-by-step explanation:

We want to find the equation of a circle with a radius of length 10 and a center at (-4, -9).

general equation of circle : (x-h)² + (y-k)² = r²

where (h,k) is at center and r = radius

the center is at (-4,-9) so h = -4 and k = -9 and the circle has a radius of 10 so r = 10

so we have (x-h)² + (y-k)² = r²

h = -4 , k = -9  and r = 10

(x-(-4))² + (y-(-9))² = 10²

==> apply double negative sign rule and remove parenthesis for -(-4) and -(-9)

(x+4)² + (y+9)² = 10²

==> simplify exponent

(x+4)² + (y+9)² = 100

and we are done!

Answer:

Option D

Step-by-step explanation:

Given:

∴ x coordinate of center point: (h, k) ⇒ (-4, -9)

∴ y coordinate of center point: (h, k) ⇒ (-4, -9)

Equation of circle formula:

Substitute the radius in the formula;

Substitute the x and y coordinate in the formula;

Therefore, Option D is correct.

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

or C

Answer:

Step-by-step explanation:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]

   = 30 × 5[tex]\sqrt{3}[/tex]

   = 150[tex]\sqrt{3}[/tex]

   ≈ 259.8 cm² ( to the nearest tenth )

Answer:

4 inches

Step-by-step explanation:

finding base of rectangle

area- 10x7= 70

base- 70/10= 7

finding base of triangle:

area- 4x5= 25

base- 25/5= 4

Answer:

4 in

Step-by-step explanation:

4

Answer:

c. 69

Step-by-step explanation:

Answer:

C.) 70

Step-by-step explanation:

The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.

PN = ?    
PK = 5x    
KN = n² - 14

PK = KN                                  <----- Both lines must equal one another

5x = n² - 14                             <----- Substitute values in

0 = n² - 5x - 14                        <----- Subtract 5x from both sides

0 = (x - 7)(x + 2)                      <----- Factor

x = 7    x = -2                          <----- Set both parentheses equal to 0

The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore,  "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.

PK = 5x  ----->  5(7) = 35

KN = n² - 14  ----->  (7)² - 14 = 35

The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.

PK + KN = PN

35 + 35 = 70

Therefore, C.) 70 is the value of PN.

Answer:

64 in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A=\frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]

Now lets get it back to  by square rooting the 4

[tex]A=\sqrt4\pi =2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² which simplifies to 64

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

Step-by-step explanation:

Given,

[tex]x = {3}^{m} [/tex]

[tex]y = {3}^{n} [/tex]

Now

Consider

[tex] {3}^{4m - 1} [/tex]

We know that

[tex] \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} [/tex]

Using this we can write

[tex] {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } [/tex]

[tex] = \frac{ {3}^{4m} }{3} [/tex]

We know that

[tex] ({a}^{p}) ^{q} = {a}^{pq} [/tex]

Using this we get

[tex] \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} [/tex]

Since we know that

[tex] {3}^{m} =x [/tex]

We get

[tex]= \frac{ {x}^{4} }{3} [/tex]

Answer:

A. The initial amount of medicine.

Step-by-step explanation:

Same explanation as the one I answered before. The 250 is the original value.

FALSE

The distributive property comes in handy when we see an expression such as the following: 5(x + 3). This is because the 5 needs to be distributed to both the x and the 3.

For the given expression, combining like terms would be the next step because 2y and 6y can be added together.

Hope this helps!

The 140% of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Here we need to find out 140% of what number is 35

Suppose that number is x so the equation will be

[tex]140\%\times x=35\\\\\\\dfrac{140}{100}\times x=35\\\\\\x=\dfrac{35\times 100}{140}\\\\\\x=25[/tex]

Hence % of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

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Answer: 2

Step-by-step explanation:

Equation:

j(x) = -3x² - 5

Which part of the equation tell us that the graph opens downward?

Here see that the leading coefficient of x² which is (-3) is less than 0, meaning negative. a < 0 Hence, the graph will open from downwards.

Answer:

The coefficient of x²

Step-by-step explanation:

The part of the function j(x) which shows the graph opens downward is the coefficient of x². Depending on whether the value is positive or negative, we will understand if it opens upward or downward.

Answer:

.093

Step-by-step explanation:

do

1.00-0.07

the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

To find the probability that the light bulb will still be working after 1000 hours of use, we can use the fact that the sum of the probabilities of all possible outcomes must be equal to 1.

Given that the probability of the light bulb failing after 1000 hours of use is 0.07, the probability of it still working after 1000 hours is:

Probability of the light bulb working after 1000 hours = 1 - Probability of the light bulb failing after 1000 hours

Probability of the light bulb working after 1000 hours = 1 - 0.07

Probability of the light bulb working after 1000 hours = 0.93

So, the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

Learn more about probability here

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[tex]< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >[/tex]

Answer:

The answer is a.) $49,000

Step-by-step explanation:

i just took the test!!

Given that  the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.

Expected value is the return you can expect for some kind of action.

The formula for the Expected Value is: ΣX.P(X) .

The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000

Probability that the new can opener will be successful = 5/8

Amount earned/ lost if the new can opener is not successful = $0

Probability that the new can opener will not be successful = 1 – 5/8 = 3/8

Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful

= 124,000 * 5/8 + 0 * 3/8

= $49000

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The missing measurement of this right triangle is x=2√14

Answer:

Extremely sorry if my answer is wrong or doesn't make sense! Also sorry that I couldn't solve it farther, I solved it using sense and haven't made it this far in math!

Step-by-step explanation:

If red is 2:3 then that means red to green is either 2:2 or 2:1. Same goes with blue.

If green is 6:19 then we can figure out the 2 possibilities for red to green.

First Possibility:

If the red to green ratio is 2:2, then the red to green to blue is 6:6:13 because 6 + 19 - 12 = 13.

Second Possibility:

If the red to green ratio is 2:3, then the red to green to blue ratio is 4:6:15 because 6 + 19 - 10 = 15.

Answer:

351.68 m²

Step-by-step explanation:

surface area of cylinder = 2πrh + 2πr²

r = 4m

h = 10m

2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

Put (0,0)

Shading will be away from origin.

y inetercept

Check the direction of line by taking 4 and -4

The graph should bend down on left side while rise up in right side

Option A

#2

Putting origin in it

Shading away from origin

And

Putting origin

Shading towards origin

Answer:

  a. dimpled: 4 < 7 < 2·4

  b. not symmetrical about θ = π/2

  c. r2: smaller, cardioid

Step-by-step explanation:

The general form of the equation for a limaçon can be written ...

  r = a·cos(θ) +b

This equation gives rise to 4 types of limaçon based on the relationship between a and b:

__

We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.

The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.

The equation for r2 ...

3x² + 4

3.-3.-3 + 4

27 + 4

31

hope it helps...!!!

Answer:

31

EXPLANATION

[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]

The missing angle ∠APB, angle ∠CPD, and angle ∠EPA will be 65°, 77°, and 77° respectively.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The diagram is given below.

The angle ∠BPC is 38° and the angle ∠DPE is 103°.

Then the missing angle will be

Angle ∠CPD and angle ∠DPE are linear angles. Then we have

∠CPD + ∠DPE = 180°

  ∠CPD + 103° = 180°

             ∠CPD = 77°

Similarly, angle ∠APB, angle ∠BPC, and angle ∠CPD are linear angles. Then we have

∠APB + ∠BPC + ∠CPD = 180°

         ∠APB + 38° + 77° = 180°

                           ∠APB = 65°

Then the complete circle makes 360°. Then we have

∠APB = 360° - 65° - 38° - 77° - 103°

∠APB = 77°

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Answer:

Right triangle

Step-by-step explanation:

If the triangle has one angle that measures 50 degrees and another angle that measures 40 degrees, then the last angle must measure 90 degrees because the 3 angles of any triangle add up to 180, so we can set up the following:

180 - (50 + 40) = 90 degrees.

Any triangle that has a 90 degree angle is automatically a right triangle.

Hope this helps!

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an isoceles triangle, two angles must be of same measure. Thus, there are two possibilities.

⇒ 50 + 40 + 40 = 180                                                   [Angle 2 = Angle 3]

-------------- Or -------------

⇒ 50 + 40 + 50 = 180                                                   [Angle 1 = Angle 3]

Possibility-1:

Possibility-2:

Therefore, the triangle cannot be an isoceles triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an obtuse triangle, the third angle must be a measure greater than 90°. Therefore,

This is false because 90 is not greater than 90. Therefore, the triangle is not an obtuse triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as a right triangle, the third angle must be a measure equivalent to 90°. Therefore,

Therefore, this triangle is a right triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an equiangular triangle, all the angles must be equivalent (60°). Therefore,

Therefore, this triangle is not an equiangular triangle.

________________________________________________________

In conclusion, we can conclude that Option C (Right triangle) is correct.