what is the system of equations of y=−x+2 and y=3x-4?

Answer:

y is NOT a function.

Step-by-step explanation:

The equation given to us is:

x² + 3y² = 3

Rearrange the equation:

3y² = 3 - x²

y² = (3 - x²)/3

y² = 1 - (x²)/3

y = ±√(1 - x²/3)

For any equation to be a function, there should be only one output for one input. Which means that for any value of x, there should be only one value of y. However, in this equation, as the underroot gives two values of any terms under it, it shows that if we put any value of x, we'll get 2 values of y. Therefore, y is not a function.

Answer:

53/66

Explanation:

We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.

Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66

Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66

We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.

The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.

53/66 is the probability that after drawing four coins.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a hat contains six nickels and five pennies

Drawn coins from the hat at random, without replacement.

We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.

We use complementary counting to find the probability of picking the outcomes.

Probability of picking PPPP:

5/11 × 4/10 × 3/9 × 2/8

= 120/7920

= 1/66

Probability of picking PPPN:

5/11 × 4/10 × 3/9 × 6/8

= 360/7290

= 3/66

Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)

3/66×4= 12/66.

The total of these two probabilities is 13/66.

1-13/66

53/66

Hence, 53/66 is the probability that after drawing four coins.

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Answer:

171

Option D is the correct option.

Solution,

[tex]4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

[tex]171[/tex]

Answer D is correct.

Step-by-step explanation:

[tex]4 \times {(2 + 5)}^{2} - {5}^{2} \\ 4 \times {7}^{2} - 25 \\ 4 \times 49 - 25 \\ 196 - 25 \\ = 171[/tex]

44.4 degrees

44.4 degrees

The triangles are similar.

Step-by-step explanation:

The measurements of missing angles are 44.4 each and the triangles are similar.

Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.

Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,

Using the angles sum property of a triangles,

∠Q + ∠S + ∠R = 180°

∠T + ∠U + ∠V = 180°

Therefore,

∠S = 180°-(37.6°+98°)

∠S = 44.4

Similarly,

∠T = 44.4

Since, all the corresponding angles are congruent therefore, the triangles are similar.

Hence the measurements of missing angles are 44.4 each and the triangles are similar.

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The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.

The techniques used in geometric constructions with paper folding are listed below.

Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

Learn more about the geometric constructions here;

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Answer:

Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper

Answer: C. 24 units

Step-by-step explanation:

The circumference of a circle is 2πr.  Let's say x = 1/3r.  Thus, the area of circle A relative to circle B is 1:3.  Thus, circle B is 3 times larger than circle A.  So, simply divide 64π by 4 to get 16π.  Then multiply 16π*3=48π.  For the circumference of a circle to be 48, the radius would have to be 24.

Hope it helps <3

Answer:

The answer is C, 24 units.

Step-by-step explanation:

Let [tex]r_A[/tex] be the radius is circle A and [tex]r_B[/tex] be the radius of circle B.

Radius of circle A is 1/3 of the radius of circle B, or:

[tex]r_A=\frac{1}{3}r_B[/tex]

[tex]3r_A=r_B[/tex]

The sum of their circumferences is [tex]64\pi[/tex]. In other words:

[tex]2\pi r_A +2\pi r_B = 64\pi[/tex]

Substitute [tex]r_B[/tex]:

[tex]2\pi(r_A +r_B)=64\pi[/tex]

[tex]2\pi (r_A +3r_A)=64\pi[/tex]

[tex]4r_A=32, r_A=8[/tex]

[tex]r_B=3r_A, r_B=3(8)=24[/tex]

Answer:

x = 65

Step-by-step explanation:

interior angles = 180°

45° + (2x - 5)° = 180°

(2x - 5)° = 180° - 45°

(2x - 5)° = 135°

2x° = 135° - 5°

2x° = 130°

x° = 130° ÷ 2

x° = 65°

x = 65

Answer:

The correct option is 2.

2) 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20.

Step-by-step explanation:

We have been given 2 equations.

y = -x + 9

y = 0.5x-6

Lets graph the both equations.

From the graph we can see that the line of both equations intersect at point (10,-1)

As the value of x of solution lies in the positive x axis, it is not necessary to graph the value of negative x-axis. It terminates the options 3 and 4 given.

As the value of y of solution lies in negative y-axis, it is necessary to graph some values of negative y-axis. It terminates option 1.

The only option left is option 2

Answer:

B

Step-by-step explanation:

I just did it on edge.

Answer:

66

Step-by-step explanation:

We know that whole number means the digits before the decimal point, meaning we have to take a look at .65 since that is after the decimal point.

So

We take a look at .6, since that is the number directly after the decimal point.

If the digit is 5 and up we round up, if the digit is 4 and down we round down

."6" is our digit meaning we round up

So we take 65 and round up to 66, making the number a whole number with no decimals after it

Answer:

c

Step-by-step explanation:

1828-1438=390

390÷39=10

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

I suck at explain and dont want to say the wrong thing and misword but hope I helped :)

Answer:

Leaky faucet can result into wasting of about 10.8 litres of water.

Step-by-step explanation:

A typical drip is given as 0.25 ml of water.

So if there are 30 drips in a minute.

It means there are 30 × 60 = 1800 drips in an hour.

And 1800 × 24 = 43200 drips in a single day.

If drip is taken as 0.25ml of water

Then

43200 drips = 43200 × 0.25

43200 drips = 10800 ml of water

Convert ml into liters

10800ml = 10800/1000 L

10800ml = 10.8 L

So a leaky faucet can result into wasting of about 10.8 liters of water.

(Use same procedure if you have any other values of a drip)

Answer:

Quadrant 2 (II)

Step-by-step explanation:

Since you you start at 0,0, you would go back two points, which would leave you with quadrant 2 and 3. Then you would go up 5 points, leaving you in quadrant 2

Answer:

Quadrant 2

Step-by-step explanation:

The x value is negative, meaning it is in the left half of the coordinate plane. The y value is positive, meaning that it is in the top half of the coordinate plane.

The top left quarter of the coordinate plane is quadrant 2.

Hope this helps!

Answer:

c = 5

Step-by-step explanation:

c/6 - 4/9 = 7/18

Make denominators equal.

3c/18 - 8/18 = 7/18

Cancel denominators since they are equal.

3c - 8 = 7

Add 8 to both sides.

3c = 7 + 8

3c = 15

Divide 3 into both sides.

c = 15/3

c = 5

Answer:

Density = Mass / volume

Problem B mass = 87.5 g and volume = 5 cm^3

Density = 87.5 / 5 = 17.5

This value is too low to be platinum

Step-by-step explanation:

Answer:

Item B.

Step-by-step explanation:

Density of item B

= mass / volume

= 87.5 / 5

= 17.5 g/cm^2 so it cannot be platinum.

The density if Items A and C  are the same : 21 g/cm^2.

Answer:

0.1

Step-by-step explanation:

There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.

Answer:

0.1 is the right answer

Answer:

The answer for

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n} ⇒ {a}^{m - n} [/tex]

Question 1:

[tex] {a}^{4} \times {b}^{8} \times {a}^{5} \times {b}^{2} \\ = ( {a}^{4 + 5} ) \times ( {b}^{8 + 2} ) \\ = {a}^{9} \times {b}^{10} \\ = {a}^{9} {b}^{10} [/tex]

Question 2:

[tex] {c}^{3} \times d \times {c}^{4} \times b \\ = b \times d \times ({c}^{3 + 4} ) \\ = bd \times {c}^{7} \\ = bd {c}^{7} [/tex]

Question 3:

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

Answer:

130 ft

Step-by-step explanation:

S.A. = 2wl + 2lh + 2hw

= 2 x 5 ft x 7 ft = 70 ft    2 x 7 ft x 2.5 ft = 35 ft     2 x 2.5 ft x 5 ft = 25 ft

70 + 35 + 25 = 130 ft

Answer: The chance that the second person has the same birthday is 1/365.

Step-by-step explanation: Hope this helps

Answer:

0.00544959128%

Step-by-step explanation:

2 / 367 =0.00544959128%

Answer:

Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:

x + 35 = 105

x = 70°

Answer:

Step-by-step explanation:

Hope it helps <3

Part 1

The angle ABC is one half of minor arc AC

Explanation: A minor arc is any arc that has measure less than 180 degrees (ie smaller than half the circle). Due to the inscribed angle theorem, any inscribed angle is always one half of the arc it cuts off

==========================================

Part 2

Explanation: Angle ABC is 40 degrees as shown in the diagram. Minor arc AC is 80 degrees since the inscribed angle is half of the arc. Put another way, the arc is twice that of the inscribed angle. This is something you should put in your notebook or on a reference card

So we can say

minor arc AC = 2*(inscribed angle)

minor arc AC = 2*40

minor arc AC = 80 degrees

==========================================

Part 3

Explanation: Major arc ABC and minor arc AC combine to get the full circle of 360 degrees. We know minor arc AC is 80 degrees, so 360-80 = 280 is the remaining bit.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. Factor a negative one out of the problem.

-1( 7x^2 +5x -18)

2. Factor.

 {Factors of 7= 7 &1}

3. (7x ___) (x _____)

Factors of 18= 6,3,18,1,2,9

5 needs to be postive.

Answer:

C

Step-by-step explanation:

it's a half circle , rectangle and triangle that can exactly be carved out of the figure

Answer:

C

Step-by-step explanation:

half-circle ; rectangle ; triangle

Answer:

Perimeter of MNO =  38.71 in.

Area of MNO =  63.73 sq. in.

Step-by-step explanation:

Since the two triangles are similar, this means that

- linear dimensions are proportional to ratio of corresponding sides

- areas are proportional to ratio of corresponding sides.

Ratio of corresponding sides of MNO to DEF

= 6.7/9

Therefore

Perimeter of MNO = P*6.7/9 = 38.71 in.

Area of MNO = A*(6.7/9)^2 = 63.73 sq. in.

all results have been calculated to the second place of decimal

Answer:

P ≈ 38.7 in., A ≈ 63.7 in2

Answer:

y=-6

Step-by-step explanation:

The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

please mark me brainliest!

y=-6 is the  equation of the line that is parallel to the given line and passes through the point (-4,-6 )

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of the line passing through points ( -8, 4) and (8, 4)

m=4-4/8+8

=0

Slope is zero.

The slope of the parallel line will be also zero.

Now equation of line passing through (-4, -6) which is parallel.

Let us find y intercept

-6=-4(0)+b

-6=b

So the equation will be y=-6.

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Answer:

(x - 3)^2 + (y + 1) = 25

Step-by-step explanation:

First find the midpoint of the diameter, because that represents the center of the circle.

                                                                     -1 + 7

The x-coordinate of the midpoint is xm = ---------- = 3

                                                                          2

                                                 2 - 4

and the y-coordinate is ym = ---------- = -1

                                                     2

And so the center of this circle is at (3, -1).

Use the Pythagorean Theorem to determine the square of the radius:

square of radius = 4^2 + (-3)^2 = 16 + 9 = 25

And so the equation of this circle is (x - 3)^2 + (y + 1) = 25

Answer:

option 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula with (- 1, 2) and (7, - 4), then

centre = ( [tex]\frac{-1+7}{2}[/tex] , [tex]\frac{2-4}{2}[/tex] ) = (3, - 1 )

The radius is the distance from the centre to either of the endpoints of the diameter.

Using the distance formula

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

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (- 1, 2)

r = [tex]\sqrt{(3+1)^2+(2+1)^2}[/tex]

  = [tex]\sqrt{4^2+3^2}[/tex]

  = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5

Thus

(x - 3)² + (y - (- 1))² = 5² , that is

(x - 3)² + (y + 1)² = 25 ← equation of circle

Answer:

80

Step-by-step explanation:

720/P = 9/1

Cross multiply.

9P = 720

P = 720/9

P = 80