Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point) 3 square units 6 square units 7 square units 8 square units

Answer:

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].

Step-by-step explanation:

Let [tex]e^{x\cdot y}-y^{2} = e-4[/tex]. At first we determine the first derivative of the function by implicit differentiation:

[tex]e^{x\cdot y}\cdot \left(y+x\cdot \frac{dy}{dx} \right)-2\cdot y \cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}+x\cdot e^{x\cdot y}\cdot \frac{dy}{dx} -2\cdot y\cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}= (2\cdot y -x\cdot e^{x\cdot y})\cdot \frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx} = \frac{y\cdot e^{x\cdot y}}{2\cdot y - x\cdot e^{x\cdot y}}[/tex]

If we know that [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], then the computed value of the function is:

[tex]\frac{dy}{dx} = \frac{(2)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}{2\cdot (2)-\left(\frac{1}{2} \right)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}[/tex]

[tex]\frac{dy}{dx} \approx 2.059[/tex]

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].

Answer:

-3

Step-by-step explanation:

The rise is 6 and the run is 2

7. c

8. d

those are the answers

114 + 70 + n ≥ 200

184 + n ≥ 200

n ≥ 200 -184

n ≥ 16

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

[tex]\longrightarrow\sf x+y=16 [/tex]

[tex]\longrightarrow\sf x-y=4[/tex]

add them

[tex]\longrightarrow\sf 2x=20 [/tex]

[tex]\longrightarrow\sf x=10[/tex]

Substitute the value in eq (1)

[tex]\longrightarrow\sf 10+y=16 [/tex]

[tex]\longrightarrow\sf y=6 [/tex]

numbers are 6 and 10

Answer:

See Explanation

Step-by-step explanation:

3.

XY is tangent at P and CP is radius

[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\

\therefore m\angle CPX = 90\degree \\[/tex]

4.

Radius of the circle = diameter /2 = 13/2 = 6.5.cm

5.

For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.

[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.

Let us work it out:

[tex] AD^2 = 7^2 = 49....(1)\\

AB^2 + BD^2 = 5^2 +5^2 \\

AB^2 + BD^2 = 25 + 25 \\

AB^2 + BD^2 = 50....(2) \\[/tex]

From equations (1) & (2), it is obvious that:

[tex] AD^2 \neq AB^2 + BD^2[/tex]

So, BD is not tangent to the[tex] \odot\: C. [/tex]

6.

Tangents drawn from an external point to a circle are congruent.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD

x = 4

7.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BD = BA (tangents drawn from external point to a circle)

x = 2

8.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD (tangents drawn from external point to a circle)

2x = 10

x = 10/2

x = 5

Answer:

a and c

Step-by-step explanation:

Step-by-step explanation:

thousandths

0.004 =

[tex] \frac{4}{1000} [/tex]

Answer:

technologist

Step-by-step explanation:

technologist is best

Answer:

Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.

Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!

Step-by-step explanation:

Thanks, and please give Brainliest!

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

Answer:

theres no solution

Step-by-step explanation:

3x+36=3x+12 is not mathmatically correct no matter what x is

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

Answer: 2(9a + 8)

Step-by-step explanation:

2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.

Answer:

8 pages

Step-by-step explanation:

It is given that,

You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.

We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :

[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]

Hence, there are 8 pages you need to read each day.

Answer:

[tex]S.A.=90\pi~cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

[tex]S.A.=\pi rL +B[/tex]

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

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

[tex]B=\pi 5^2[/tex]

[tex]B=25\pi~cm^2[/tex]

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

[tex]L^2=5^2+12^2[/tex]

[tex]L^2=25+144=169[/tex]

Taking square roots

[tex]L = \sqrt{169}[/tex]

L = 13 cm

The surface area is:

[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]

Operating:

[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]

[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]

Answer:

90

Step-by-step explanation:

Answer:

B. Her model cannot be improved.

Step-by-step explanation:

We make this conclusion because it seems Isabella's model isn't actually proffering any solution to increase/reduce the number of strikes she has had.

Hence, any changes made do not clearly seem to improve the present model she is using.

Answer:

The correct answer is D!

Step-by-step explanation:

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

Answer:

∠ JKL = 32°

Step-by-step explanation:

Since KN bisects ∠ LKM , then

∠ LKN = ∠ NKM = 35°

Thus

∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM

         = 102° - 35° - 35°

        = 102° - 70°

         = 32°

[tex]x = - 10 \\ [/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

[tex] \sqrt{20 - 8x} = \times [/tex]

[tex]20 - 8x = {x}^{2} [/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex]x = - 10[/tex]

[tex]x = 2[/tex]

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

Answer:

One Solution:

No Solution:

Infinity many solutions:

Step-by-step explanation:

We will see the system of equations one by one.

First system of Equation:

[tex]y = 0.5x-2\\y=-0.5x+4[/tex]

It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution

Second System of Equation:

[tex]y=0.5x+5\\y=0.5x+1[/tex]

This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.

Third System of Equations:

[tex]y =2x+1\\y = -4x+1[/tex]

The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.

Fourth System of Equations:

[tex]y=3x+2.5\\y=3x+2.5[/tex]

The lines formed by these lines will overlap each other so there will be infinity many solutions.

Fifth System of Equations:

[tex]y=-x-3\\y=-x+3[/tex]

These equations represent parallel lines so there will be no solution.

Sixth System of Solution:

[tex]y=-x-2\\y=-x-2\\[/tex]

The system will have infinite number of solutions

Hence,

One Solution:

No Solution:

Infinity many solutions:

Answer:

the first answer is correct

Step-by-step explanation:

Answer:

For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20

Answer:

x=0, y=0 this is so easy

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Standard deviation measures the spread around the mean of the different variables.

Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.