If x+y = 6, y+z = 7, and z+x = 9, what is the average (arithmetic mean) of x, y, and z?

Answer:

a) T(3,0)

b) |CT|=2.83

c) |DT|=4.47

Step-by-step explanation:

The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)

The diagonals of a parallelogram bisect each other.

Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.

The midpoint of C(5,-2) and (1,2) is

[tex]T(\frac{5+1}{2},\frac{-2+2}{2}  )[/tex]

[tex]T(3,0)[/tex]

b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]

[tex]d=\sqrt{4+4}[/tex]

[tex]d=\sqrt{8}[/tex]

[tex]d=2\sqrt{2}=2.83[/tex]

The length of CT is 2.83 to the nearest hundredth

c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]

[tex]d=\sqrt{16+4}[/tex]

[tex]d=\sqrt{20}[/tex]

[tex]d=2\sqrt{5}=4.47[/tex]

The length of DT is 4.47 to the nearest hundredth

Answer:

1/3

Step-by-step explanation:

Both 11 and 33 are divisible by 11

11/11 =1

33/11 =3

11/33 = 1/3

The answer is 1/3. I hope this helps!

Answer:

You can alternatively apply PEMDAS as schools do today: Simplify everything inside the parentheses first, then exponents, then all multiplication and division from left to right in the order both operations appear, then all addition and subtraction from left to right in the order both operations appear.

Step-by-step explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

so 8+4 =12 12-3=9

the correct answer would be 9

The number 0.009238 is expressed correctly to 3 significant figures as 0.00924

To express 0.009238 to 3 significant figures, we need to consider the first three non-zero digits from the left.

Identify the first three non-zero digits from the left: 9, 2, and 3.

Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the last significant figure.

Therefore, the number rounded to 3 significant figures is 0.00924.

The complete question is : express 0.009238 to 3 significant figures​

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

D

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Answer:

There are exactly 4 solutions

Step-by-step explanation

Given the two equation

y = x² + 3x – 7 ... (1)

y – 5x + 8 = 0 ...(2)

From equation 2,

y - 5x = -8

y = -8+5x ...(3)

Substituting equation 3 into 1

-8+5x = x²+3x-7

Moving -8+5x to the other side of the equation, we have:

x²+3x-7+8-5x = 0

x²+3x-8x-7+8= 0

x²-5x+1 = 0

Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.

Therefore in the system of equation given, there are exactly 4 solutions

Answer:

The reaction that takes place in a nuclear fission reactor is answer D.

Step-by-step explanation:

Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which  mainly ends up as heat energy.

So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).

Answer: 80

Step-by-step explanation:

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

Answer:

Correct choice is 11/12.

Step-by-step explanation:

Given numbers are 2/3, 11/12, 5/6 and 7/12.

Now we need to find about which time is faster among 2/3, 11/12, 5/6 and 7/12.

To find that we need to make denominators equal.

2/3, 11/12, 5/6, 7/12

Common denominator is 12 so let's multiply by suitable numbers to get equal denominator.

8/12, 11/12, 10/12, 7/12

Now we see that largest numerator is 11.

Hence correct choice is 11/12.

Answer:

11/12 is the answer

Step-by-step explanation:

The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.

To solve this problem, we can use the following steps:

Identify the corresponding sides of the two similar triangles.

Write down the proportion for the corresponding sides of the two triangles.

Cross-multiply to solve for the unknown side.

In this case, the corresponding sides of the two triangles are:

AD = AP

DE = PR

EF = RY

We can write down the following proportion:

AD/DE = AP/PR

We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:

6/DE = 16/8

DE = 6 * 8 / 16

DE = 3 cm

Now that we know the length of DE, we can use the following proportion to solve for PY:

DE/EF = PR/PY

3/9 = 8/PY

PY = 8 * 9 / 3

PY = 24 cm

Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.

For such more questions on triangles

https://brainly.com/question/29782809

#SPJ6

Answer:

The correct numbers to fill the table going down are:

2

5

7

Answer:multiply y times 2 the answers would be 2,5,7

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

ANSWER

[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]

EXPLANATION

We want to multiply:

[tex] 10011_{2} \times 11_{2}[/tex]

in base 2

One can choose to convert everything to base 10

This gives 19×3=57

We then convert 57 to base two to get

[tex]57 = 111001_{2}[/tex]

Or perform the multiplication in base 2 straight forward.

10011

× 11

10011

+10011

111001

------------

[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]

Answer:

160π units³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the base radius and h the height )

here r = 4 and h = 10, thus

V = π × 4² × 10 = 160π units³ ← exact value

The answer is the third one

The answer is C it’s pretty easy

Answer:

Step-by-step explanation:

7056

Answer:

2 + 3.5i

Step-by-step explanation:

Real: (2 + 2)/2 = 4/2 = 2

Complex: (8i - i)/2 = 7i/2 = 3.5i

Answer: (2 + 3.5i)

Answer:

Congruent chords are equidistant from the center of the circle

Step-by-step explanation:

Answer:

29.3 in³

Step-by-step explanation:

1. Volume of cone: V = ¹/₃ * πr²h

2. Find r: r = d/2 = 4/2 = 2 in

3. Plug in: V = ¹/₃ * π(2)²*7

4. Powers: V = ¹/₃ * π * 4 * 7

5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)

Final answer:

Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Explanation:

To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Answer:

-3x+8

Step-by-step explanation:

−2x−x+8

-2x and -x both have the variable x in them so we can combine them

-2x-x = -3x

-3x+8

Answer:-3x+8

Step-by-step explanation:

Negative - a negative= negative so -2x-x= -3x and the 8 is just an 8 because it has nothing to combine

Answer:

The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

so

[tex]A=\pi r^{2}-a*b[/tex]

we have

[tex]a=7\ cm[/tex]

[tex]b=5\ cm[/tex]

[tex]r=6\ cm[/tex]

substitute the values

[tex]A=\pi (6)^{2}-(7)*(5)[/tex]

[tex]A=(36\pi-35)\ cm^{2}[/tex]

Answer:

78.1

Step-by-step explanation:

Answer:

The Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isosceles tells you that two sides of a triangle (in this case) are equal. The two non hypotenuse sides are both the same size. Each of the angles opposite the equal sides are equal and are 45o.

A right angle takes up the other 90o.

Answer:

C

Step-by-step explanation:

Using the rule of exponents

• [tex]b^{-m}[/tex] ⇔ [tex]\frac{1}{b^{m} }[/tex], thus

[tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex] → C

Answer: C 1/27

b^-3 and b=3

So we have 1/b^3= 1/3^3= 1/27

Answer:

B)(x - 2)

Step-by-step explanation:

Given that the area of a rectangle is [tex]x^2-5x+6[/tex].

Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:

A)(x + 3)

B)(x - 2)

C)(x - 1)

D)(x + 6)

We know that area of rectangle = (length) x (width)

So basically we need to factor the given area of rectangle to find the corresponding dimensions.

[tex]x^2-5x+6[/tex]

[tex]=x^2-2x-3x+6[/tex]

[tex]=(x-2)(x-3)[/tex]

Hence B)(x - 2) is the correct choice.

Answer:

x-2

Step-by-step explanation:

Answer:

C.) $2.00 per pound

Hope This Helps!   Have A Nice Day!

$2.00 per pound, the answer would be letter C

Answer:

A. The graphs of two of the functions have a minimum point.

Step-by-step explanation:

Option A is false, because the only function that has a minimum point is

[tex]h(x)=\frac{1}{4}x^2+1[/tex]

Option B is true because all the functions are of the form;

[tex]y=ax^2+c[/tex]

The equation of axis of symmetry of equations in this form is x=0.

Option C is also true because, [tex]h(x)=\frac{1}{4}x^2+1[/tex] is a minimum graph and its y-intercept is 1. This graph will hang above the x-axis.

[tex]g(x)=-2x^2-5[/tex] is a maximum graph whose y-intercept is -5.

This graph also hangs below the x-axis.

Option D is also true. The y-intercepts are 6,-5, and 1  

The equation of the line parallel to 3x + y = 7 and passing through (-3,3) is y = -3x + 12 (Option A) because parallel lines have identical slopes and using the point-slope formula provides us with the y-intercept.

To find the equation of a line parallel to 3x + y = 7 and passing through the point (-3,3), we need two pieces of information:

The slope of the parallel line

The coordinates of a point it passes through

First, let's rewrite the given equation in slope-intercept form to find the slope. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = -3x + 7

So, the slope m is -3. Because parallel lines have the same slope, our new line will also have a slope of -3.
Using the slope (-3) and the given point (-3,3), we apply the point-slope formula:

y - y1 = m(x - x1)

y - 3 = -3(x - (-3))

y - 3 = -3x - 9

y = -3x + 12

Thus, the equation in slope-intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7 is y = -3x + 12 which corresponds to Option A.

Answer:

They earned $9.60 they will each get $4.80. Give or take.

Step-by-step explanation:

9.60÷2=4.80

Answer:

86.079

Step-by-step explanation:

40.99*2.1

The Answer Is 86.079.