Maximum number of possible solutions x^2+4y^2=64 x+y=5

Answer:

The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.

Step-by-step explanation:

Consider the provided information.

The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.

The sketch that shows parallel lines is shown in figure.

The real life example of parallel lines.

Few examples are:

1) Railroad Tracks

2) Edges of walls

3) Zebra crossing

Parallel lines are straight lines that run in the same direction, never intersect, and maintain a constant separation distance, as seen in railroad tracks.

Parallel-Lines are two or more straight lines that run in the same direction and never intersect, no matter how far they extend. They maintain a constant separation distance between them, and their slopes (steepness) are equal.

In a sketch, parallel lines are depicted as lines that are equidistant from each other and do not cross, remaining at the same distance apart.

The sketch of parallel-lines is shown below;

A real-world example of parallel lines is railroad tracks. When you observe two railway tracks running alongside each other, they serve as a practical illustration of parallel lines. They remain equidistant throughout their length and never converge, ensuring safe and efficient train transportation.

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Answer:

The commission is $180

Step-by-step explanation:

To find the commission take the total (750) and multiply it by the percentage of commission (.24).

When you do this, you will get $180.

Hope this helps! :)

Answer:

its 180

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

(12 + 6) x (11 - 7) = 72

18 x 4 = 72

72 = 72

The answer is D

the hypotenuse is always the line directly in front of the right angle.

so the answer is 2) mn

Answer:

Step-by-step explanation:

[tex]8g=96\qquad\text{divide both sides by 8}\\\\\dfrac{8g}{8}=\dfrac{96}{8}\\\\g=12[/tex]

Answer:

x=11 and x=18

Step-by-step explanation:

The given quadratic equation is;

[tex](x-8)^2-13(x-8)+30=0[/tex]

Let u=(x-8)

[tex]u^2-13u+30=0[/tex]

Split the middle term;

[tex]u^2-10u-3u+30=0[/tex]

Factor by grouping

[tex]u(u-10)-3(u-10)=0[/tex]

[tex](u-10)(u-3)=0[/tex]

We have either u=10 or u=3

This implies that;

x-8=10 or x-8=3

x=10+8 or x=3+8

x=18 or x=11

Answer:

The answer is D on EDGE 2020

Step-by-step explanation:

Answer: 39 degrees

Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.

180-102=78

Since the two angles are the same then we just divide 78 by 2

78/2=39

Answer:

∠E ≈ 37°

Step-by-step explanation:

Using the Sine Rule in ΔEFG, that is

[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )

42 × sinE = 26 × sin102° ( divide both sides by 42 )

sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..

E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°

to figure out the percentage, you’ll have to do 78 divided by 120 (because it’s 78/120) which is 0.65. now, you’ll have to multiply by 100, so her percentage is 65%.

Answer:

Perimeter=737 feets

Area=13542.6 ft²

Step-by-step explanation:

Well assuming that a,b,c are the three sides of the triangle and h is the height then;

Perimeter=distance around the figure

P=164+221+352= 737 feet

Area of a triangle given three sides is calculated using the formulae;

Area=√s (s-a) (s-b) (s-c) where  s=(a+b+c)/2

Finding s;

s=(164+221+352)/2 =368.5 feet

Finding the area

A= √ 368.5 (368.5-164) (368.5-221) (368.5-352)

A=√368.5 (204.5) (147.5) (16.5)

A= 13542.6 ft²

Final answer:

The zeros of the function h(x)=(-4x-3)(x-3) are x=3/4 and x=3, with the smaller solution being 3/4 and the larger solution being 3.

Explanation:

To solve for x, we need to find the zeros of the function h(x) = (-4x-3)(x-3). The zeros of a function occur where the function equals zero, so setting h(x) to zero gives us:

0 = (-4x - 3)(x - 3)

A function is zero when any of its factors are zero. We can, therefore, set each factor equal to zero and solve:

-4x - 3 = 0 => x = -3/(-4) => x = 3/4

x - 3 = 0 => x = 3

So the zeros of the function are x = 3/4 and x = 3. The smaller solution is x = 3/4, and the larger solution is x = 3.

Answer:

15.

Step-by-step explanation:

Divide each side by .15 9/.15 = .15/.15x  

The .15 on the right side of the equation cancels to 1, so once you divide 9 by .15, you get the answer.  

60 = x

18. ..................

Answer:

25 1/2 × 5 - 3 = 5x

51/2 × 5 - 3    = 5x

255/2 - 3       = 5x

255/2 - 6/2   = 10x/2

255 - 6          = 10x

249               = 10x

x                    = 249/10 = 24.9

The value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]  is x=24.9

Given:

Find:

Solution:

The given equation is [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

Now, solving the equation, we get;

[tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

[tex]\frac{51}{2} *5 - 3 =5x[/tex]

Now, multiplying the 51/2 with 5, we get;

[tex]\frac{255}{2} - 3 = 5x[/tex]

Now, we will take lcm and we get;

[tex]\frac{255-6}{2} = 5x[/tex]

[tex]\frac{249}{2} = 5x[/tex]

Now, multiplying with 2 on both sides of the equation, we get;

249 = 10x

Now, dividing by 10 into both sides of the equation, we get;

x = 24.9

Hence, the value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex] is x=24.9

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Not sure. I would say no.

Answer:

4153

Step-by-step explanation:

(x-3)/10 + 3000 = x-73

(x-3)/10 = x - 3738

x-3 = 10x - 37380

 x = 10x - 37377

-9x = -37377

 x = 4153

: P

Answer:

4153

Step-by-step explanation:

Let the original number be x

First, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there.

Now to remove the zero, you divide by 10.

Finally, to put the 3 at the first position, you add 3000.

Now Moving the last digit, 3, to the first position the number becomes :[tex]\frac{x-3}{10}+3000[/tex]

We are given that the number will decrease by 738.

A.T.Q

[tex]\frac{x-3}{10} + 3000 = x-738[/tex]

[tex]\frac{x-3}{10}= x - 3738[/tex]

[tex]x-3 = 10x - 37380[/tex]

[tex]x = 10x - 37377[/tex]

[tex]-9x = -37377[/tex]

[tex]x = 4153[/tex]

Hence the original 4-digit number is 4153.

Answer:

Option A

Step-by-step explanation:

Given

m=( y_2- y_1)/(x_2-x_1 )

In order to get the equivalent equation, multiplying the denominator x_2-x_1with m.

m(x_2-x_1 )=y_2- y_1

Adding y1 to both sides of equation will give:

m(x_2-x_1 )+ y_1=y_2- y_1+y_1

So the end result will be:

m(x_2-x_1 )+ y_1=y_2

Can also be written as:

y_2=m(x_2-x_1 )+ y_1

Comparing it the given options gives us that Option A is the correct answer.

The Correct answer is A

Answer:

You are correct!

:D

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2 (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {7}, 2 \sqrt {5})\\(x_ {2}, y_ {2}) :( 5 \sqrt {7}, 5 \sqrt {5})[/tex]

Substituting:

[tex]d = \sqrt {(5 \sqrt {7} -3 \sqrt {7}) ^ 2+ (5 \sqrt {5} -2 \sqrt {5}) ^ 2}\\d = \sqrt {(2 \sqrt {7}) ^ 2+ (3 \sqrt {5}) ^ 2}\\d = \sqrt {4 (7) + 9 * (5)}\\d = \sqrt {28 + 45}\\d = \sqrt {73}\\d = 8.5440[/tex]

Answer:

[tex]d = 8.54[/tex]

Answer:

Part 1) [tex]HD=\sqrt{105}\ units[/tex]

Part 2) [tex]JD=2\sqrt{34}\ units[/tex]

Part 3) [tex]KD=6\sqrt{2}\ units[/tex]

Step-by-step explanation:

step 1

Find the length HD

In the right triangle HDF

Applying the Pythagoras Theorem

[tex]FD^{2} =HF^{2} +HD^{2}[/tex]

substitute the values and solve for HD

[tex]19^{2} =16^{2} +HD^{2}[/tex]

[tex]HD^{2}=19^{2}-16^{2}[/tex]

[tex]HD^{2}=105[/tex]

[tex]HD=\sqrt{105}\ units[/tex]

step 2

Find the length JD

In the right triangle JDF

Applying the Pythagoras Theorem

[tex]FD^{2} =JD^{2} +FJ^{2}[/tex]

we have

[tex]FD=19\ units[/tex]

[tex]FJ=JG=15\ units[/tex] ----> because JD is a perpendicular bisector

substitute the values and solve for JD

[tex]19^{2} =JD^{2} +15^{2}[/tex]

[tex]JD^{2}=19^{2}-15^{2}[/tex]

[tex]JD^{2}=136[/tex]

[tex]JD=\sqrt{136}\ units[/tex]

[tex]JD=2\sqrt{34}\ units[/tex]

step 3

Find the length KD

In the right triangle KDG

Applying the Pythagoras Theorem

[tex]GD^{2} =KD^{2} +GK^{2}[/tex]

we have

[tex]GD=FD=19\ units[/tex]

[tex]GK=17\ units[/tex]

substitute the values and solve for KD

[tex]19^{2} =KD^{2} +17^{2}[/tex]

[tex]KD^{2}=19^{2}-17^{2}[/tex]

[tex]KD^{2}=72[/tex]

[tex]KD=\sqrt{72}\ units[/tex]

[tex]KD=6\sqrt{2}\ units[/tex]

Step-by-step explanation:

Step 1: (sin²A+cos²A)²

Step 2: (a+b)² = a²+b²+2ab

Step 3: (sin²A+cos²A)²=sin⁴+cos⁴+2sin²Acos²A

make sure to use: sin²a+cos²a=1

Step 4: (1)²-2sin²Acos²A = sin⁴A+cos⁴A

Step 5: 1-2sin²Acos²A = sin⁴A+cos⁴A

Answer:

5^2

Step-by-step explanation:

Answer:

x = ±sqrt(26)

Step-by-step explanation:

x^2 = 26

Take the square root of each side

sqrt(x^2) = sqrt(26)

x = ±sqrt(26)

This cannot be simplified any further

Answer:

Point D lies on the circumference of the unit circle

Step-by-step explanation:

Use the unit circle formula x^2 + y^2 = 1 plug the possible answer choices into this formula and determine  which one is true.

D(3/4,root 7/4) lies on the circumference of the unit circle , Option D is the correct answer.

A unit circle is a circle with 1 unit radius and the center is at origin .

The equation of a unit circle is x ² + y² =1

The points given are

A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4).

To check if they lie on the circumference of a unit circle , They have to be substituted in the equation of unit circle.

Point A

4 ² + 3² =1

16+ 9 ≠ 1

Point B

(1/2) ² + (1/5)² =1

(1/4) + (1/25) = 1

29/100  ≠ 1

Point C

(0.6) ² + (0.7)² =1

0.85 ≠ 1

Point D

(3/4)² + (√7/4)² =1

(9/16) + (7/16) = 1

1 = 1

Therefore , Option D,  D(3/4,root 7/4) lies on the circumference of the unit circle.

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Answer:

Option a.

Step-by-step explanation:

An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.

In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.

Then, the set of ordered pairs is (From left to right)

(-3, 3) ; (0, 0) ; (2, -2).

So the correct option is option a.

Answer:

The correct answer is option a

(-3, 3), (0, 0) and (2, -2)

Step-by-step explanation:

From the figure we can see three points are marked.

Each points can be written as ordered pair (x, y)

From left to right we can write,

the three pots are,

(-3, 3), (0, 0) and (2, -2)

Therefore the correct answer is option a

Answer:

x = 35 degrees.

Step-by-step explanation:

cos x = sin(20 + x)

Using the identity cos x = sin(90 - x):

20 + x = 90 - x

2x = 70

x = 35 degrees (answer).

Answer:

Value of x is 35°.

Step-by-step explanation:

Given:

cos x = sin ( 20 + x )

To find: Value of the x.

We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]

Consider,

cos x = sin ( 20 + x )

sin ( 90 - x ) = sin ( 20 + x )

Comparing both sides,

90 - x = 20 + x

-x - x = 20 - 90

-2x = -70

x = 35°

Therefore, Value of x is 35°.

Answer:

C = [tex]200\pi[/tex]

Step-by-step explanation:

C = [tex]2 \pi r[/tex], where r - radius

Since the equation of the circle is:

[tex]x^2 + y^2 = 100[/tex]

The radius is 100.

C = [tex]200\pi[/tex]

Answer:

1666.67

Step-by-step explanation:

6ft.......................................8ft

1250ft................................xft

1250/6 = x/8

x = 1250/6*8

Answer:

b I am sure because to x the number to the the probability and we don't know which ]h one so there is a 50% 50% chance for both.

Step-by-step explanation:

Answer:

Option B - [tex]P(A)\cdot P(B)[/tex]                          

Step-by-step explanation:

Given : The probability for success of an event is P(A), and the probability of success of a second event is P(B).

To find : What is the  probability of both events occurring, in that order?        

Solution :

The probability for success of an event is P(A).

The probability of success of a second event is P(B).    

As the events are independent so the probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]

Therefore, Option C is correct.

The probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]                          

Answer:

Surface Area of a Cube = 6[tex]a^{2}[/tex]

Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac

Surface Area of a Sphere = 4 pi r[tex]^{2}[/tex]

Surface Area of a Cylinder = 2( pi [tex]r^{2}[/tex]) + (2 pi r)* h

Rights reserved to their respective owners

The two angles are supplementary angles and make a straight line.

This means when added together they need to equal 180 degrees.

x + 34 + 2x + 2 = 180

Combine like terms:

3x + 36 = 180

Subtract 36 from each side:

3x = 144

Divide both sides by 3:

x = 48

Answer:

108.505

Step-by-step explanation:

Let's talk money for just a second. Which would you rather have 20 dollars or 20.32      20dollars and 32 cents?

Isn't 20.32 bigger than 20.

You should say yes.

If that is true, then 108.505 should be larger than 108.5 not by much, but still larger.

After comparing digits after the decimal point, 108.505 is greater than 108.5 because 505 is greater than 500.

When comparing two decimal numbers, you should compare them digit by digit, starting from the leftmost digit. In this case, both numbers start with 108, which is the same. However, when comparing the next set of digits after the decimal point, you have 505 for the first number and 5 (equivalent to 500) for the second number. Because 505 is greater than 500, the first number, 108.505, is greater than the second number, 108.5.

Answer:

Step-by-step explanation:

To calculate the number of yellow paperclips expected to be drawn if a paperclip is drawn 800 times, multiply the number of draws by the probability of drawing a yellow paperclip.

Therefore, if a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly 180 times.

To calculate the number of blue paperclips expected to be drawn if a paperclip is drawn 80 times, multiply the number of draws by the probability of drawing a blue paperclip.

Thus, if a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly 21 times.

Finally, calculate the number of draws necessary if a green paperclip is drawn roughly 1,235 times, divide 1,235 by the probability of drawing a green paperclip.

Therefore, If a paperclip is drawn a total of 5,200 times, a green paper clip is expected to be drawn roughly 1,235 times.