Select all the correct answers.
Which three pairs of side lengths are possible measurements for the triangle?
45°
B
45°
BC = 10, AC=10√/2
AB= 9, AC = 18
OBC:
= 10√3, AC = 20
AB = 9√2, AC
AB= 7, BC = 7√3
AB
= 18
= 14, BC = 14

Greetings from Brasil...

The range will be the region of the Y axis comprised by the function. Looking at the graph, we conclude that:

We get that the slope of the green line will be 2 / 5 when it is perpendicular to the red line.

We are given that the red line is perpendicular to the green line.

Also, we are given that the slope of the red line is - 5 / 2

m₁ = - 5 / 2

Now, we need to find the slope of green line.

Let the slope of the green line be m₂

We know that, when the lines are perpendicular, then the relationship between their slopes is given by:

m₁ ×  m₂ = - 1

Substituting the values, we get that:

- 5 / 2 × m₂ = - 1

m₂ = - 1 × - 2 / 5

m₂ = 2 / 5

Therefore, we get that the slope of the green line will be 2 / 5 when it is perpendicular to the red line.

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Answer: 5/6

Step-by-step explanation:

Answer:

6 divided by 8 is 3/4 (.78)

2/3 divided by 8 is 1/12 (0.083)

6 2/3 divided by 8 is 5/6 (0.83)

the equation rewritten in exponential form is:

y = 3^x

Here we start with.

Log₃(y) = x

Remember that we can rewrite:

Log₃(y) = ln(y)/ln(3)

Then we can simplify so we get:

ln(y) = ln(3)*x

Now we just apply the exponential function to both sides:

exp(ln(y)) = exp(ln(3)*x)

y =  (e^(ln(3))^x = 3^x

y = 3^x

That is the equation rewritten in exponential form:

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Answer:

It's x+10=5+2x+6=>x=-1

Point K coordinate from the given number line is; -1²/₃

Partitioning of a line segment means dividing the line segment in the given ratio. The two numbers in the ratio must add up together to equal the total number of partitions of the line segment. For example: If a line segment AB is divided into a ratio of 2:3, it shows that the line segment can be divided into 5 equal sections. Hence, there are 5 parts in total, in which 2 parts will be before the desired point and 3 parts will be after the desired point.

We are given a line segment A F divided into different parts of points B, C, D and E.

Now, we want to find the point K such that it divides Line segment A F in the ratio 4:5.

Now, from the number line, line A F measures 12 units. Thus;

Point K = (4/5) * 12 = 5¹/₃ from point A

Thus, point K coordinate = -7 + 5¹/₃

Point K coordinate = -1²/₃

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There are 2322432 coupons generated .

According to the question we have been given that the code contains one digit followed by four letters . That is it can be assumed as

                         code = D L L L L   where D and L represent the digits and letters.

Now total digits we have is  = 7

       total number of letters we have = 24

So we have to choose the first digit from these 7 digits. Thus there are 7 ways in which we can choose as they are repeated.

Also there are 24 ways to select the 4 letters after the digits as the letters are being repeated, that is ways =   24⁴

Therefore the number of coupons that can be generated from the combination are :

                                7*24⁴ = 7*331776

                                          = 2322432

Hence the number of coupons generated are 2322432.

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If the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.

Given that the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206.

We are required to find the time after which the rocket will splash down into the ocean and the time after which the ocean will get its peak and the height of the rocket.

The rocket will splash down when the height of the rocket is 0.

-4.9[tex]t^{2}[/tex]+106t+206=0

4.9[tex]t^{2}[/tex]-106t-206=0

t={106±[tex]\sqrt{(106)^{2} -4*4.9*(-206)}[/tex]}/2*4.9

t=(106±[tex]\sqrt{15273.6}[/tex])/9.8

We have to ignore the negative sign because the time is always shown in positive signs.

t=(106+123.59)/9.8

t=229.59/9.8

t=23.43 seconds

Rocket will be at its peak when the slope of the equation is 0.

[tex]h^{I}[/tex](t)=-9.8t+106

-9.8t+106=0

-9.8t=-106

t=-106/-9.8

t=10.82 seconds

To find the height we need to use t=10.82 in the equation.

h(10.82)=[tex]-4.9*(10.82)^{2} +106*10.82+206[/tex]

=-573.65476+1353.92

=779.26524 meters.

Hence if the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.

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The bakery is short on half a bag of flour.This problem can be solved using fractions . So, first loaf of bread requires 2bags of flour and a quarter which can be written as  2[tex]\frac{1}{4}[/tex]second loaf of bread also requires the same amount which is 2[tex]\frac{1}{4}[/tex]

the third loaf of bread requires one bag and two third of another bag which can be written as 1[tex]\frac{2}{3}[/tex]

And the final loaf of bread requires half bag of flour which is [tex]\frac{1}{2}[/tex]

the total requirement of flour for making the four loaves of bread is

             = 2[tex]\frac{1}{4}[/tex] + 2[tex]\frac{1}{4}[/tex]+ 1[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{2}[/tex]

              =[tex]\frac{9}{4}[/tex]  +[tex]\frac{9}{4}[/tex] + [tex]\frac{5}{3}[/tex] +       [tex]\frac{1}{2}[/tex]

              = [tex]\frac{27}{12}[/tex]+      [tex]\frac{27}{12}[/tex] +[tex]\frac{20}{12}[/tex] +[tex]\frac{6}{12}[/tex]

            = [tex]\frac{80}{12}[/tex]

To work out how much flour the bakery will have left after making these loaves we need to reduce the total requirement with total flour we have = 6 -[tex]\frac{80}{12}[/tex]

                                       =[tex]\frac{72}{12}[/tex] -  [tex]\frac{80}{12}[/tex]

                                     =- [tex]\frac{6}{12}[/tex] or- [tex]\frac{1}{2}[/tex]

therefore the bakery is short on half a bag of flour

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The vertices of the rectangle are:

P'(4,12)

Q'(12,12)

R'(12,8)

S'(4,8)

Given,the vertices of the rectangle are:

P(5,15), Q(15,15), R(15,10) and S(5,10)

also k= 4/5 to find the new vertices, that is:

P' = P×k

P' = P × 4/5

P' = (5×4/5 , 15×4/5)

P' = (4,12)

similarly:

Q' = Q×k

Q' = Q × 4/5

Q' = (15×4/5 , 15×4/5)

Q' = (12,12)

R' = R×k

R' = R × 4/5

R' = (15×4/5 , 10×4/5)

R' = (12,8)

S' = S×k

S' = S × 4/5

S' = (5×4/5 , 10×4/5)

S' = (4,8)

Hence we get the required points, for which we plot the graph.

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Answer:

174

Step-by-step explanation:

Since we don't know how many toys Carly has, we'll use a variable (x). The equation would then be:

x+3x=232

We can then combine like terms, and the new equation would be:

4x=232

Now, we have to get x by itself. To do this, divide both sides by 4, and you get:

x=58

But, remember, x is how many Carly has. Amy has three times that, so:

58*3=174

Amy has 174 toys.

Hope this helps!

Answer:

January

Step-by-step explanation:

subtract 2 from each numbe(month)

7-2=5-2=3-2=1

7: July

5: May

3: March

1: January

Step-by-step explanation:

464

first u will multiply 16 with 29

after u get that number that will be your answer

Answer:

  29

× 16

54

120

90

+ 200

= 464

The labeled graph showing ABCDE, A'B'C'D'E', and the line of reflection x = -2 is shown. Also, m∠ A = m∠ A'.

In the question, we are given that the polygon ABCDE is reflected across the line x = - 2.

We are asked to graph and label the image A'B'C'D'E'. Also, we are asked if m∠ A = m∠ A'.

When the polygon ABCDE is reflected across the line x = - 2, all the coordinates on it are reflected across the line x = -2.

The reflection of any point with coordinates (x, y) on reflection across the line x = a, results in a point with coordinates (-x + 2a, y).

The coordinates of the vertices of the given polygon are:

A (-4, 4), B (-3, 3), C (-3, 2), D (-5, 1), and E (-5, 3).

Reflecting these points across the line x = - 2, we get:

A (-4, 4) → A' ( -(-4) + 2(-2), 4) = A' (0, 4).

B (-3, 3) → B' ( -(-3) + 2(-2), 3) = B' (-1, 3).

C (-3, 2) → C' ( -(-3) + 2(-2), 2) = C' (-1, 2).

D ( -5, 1) → D' ( -(-5) + 2(-2), 1) = D' (1, 1).

E (-5, 3) → E' ( -(-5) + 2(-2), 3) = E' (1, 3).

Plotting ABCDE, A'B'C'D'E', and the line x = -2 has been shown on the graph.

The angles m∠ A and m∠ A' are equal since ABCDE is reflected to make A'B'C'D'E' which makes the two figures congruent. And in congruent figures, the corresponding angles are equal.

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Answer:

10.8

Step-by-step explanation:

24 * .45 = 10.8

Check the picture below.

According to the given quadratic equation  the values of k = -1.

A quadratic equation seems to be a second-order polynomials equation with a single variable x ax2+bx+c=0. Ta he fundamental theorem of algebra assures that it has at least one solution because it is second-order polynomial equation.

g(x)= -f(x) + k.  given

Putting the value of f(x).

g(x)= - -x^2 + 4x +5 + k

= x^2 - 4x - 5 + k

= 0

When g(x) = 0 has no real roots, Δ < 0 a quadratic equation of one variable has no real roots.

So,

16 - 4(5 + k) = 0

16 - 20 -4k < 0

-4 -4K < 0

4K> -4

k>-1

According to the given quadratic equation the values of k = -1.

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The simplest form in parenthesis is option C which is negative five sixths times x plus eight  (- 5x/6 + 8)

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have Given equation as; parenthesis negative two thirds times x minus 6 end quantity minus quantity negative 14 plus one sixth times x end parenthesis,

( -2/3 * x - 6 )  -  ( -14 + 1/6 * x)

Now solving the equation will gives;

= ( -2/3 * x - 6 ) - ( -14 + 1/6 * x )

= ( -2x/3 - 6 ) - ( -14 + x/6 )

= -2x/3 - 6 + 14 - x/6

Now collecting like terms;

= -2x/3 - x/6 - 6 + 14

= - 5x/6 + 8

Therefore the correct answer is option C; negative five sixths times x plus eight (- 5x/6 + 8)

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Answer:

675,745.92

Step-by-step explanation:

(9.6 × 103) × (6.7 × 102)

(988.8) × (683.4)

= 675,745.92

I hope this helps!

By using a graphing tool, the point of intersection of the two lines is (x, y) = (7, 0).

In this question we have a system of two linear equations with two variables, which can be represented on Cartesian plane. By geometry it is known that a line can be constructed after knowing the location of two distinct points.

First, we find two distinct points from each line:

x + y = 7: (7, 0), (0, 7)

- x + y = - 7: (7, 0), (0, - 7)

Second, set each pair of points and construct the lines on a Cartesian plane.

Third, mark the point of intersection of the two lines. The result is shown in the image attached aside. The point of intersection of the two lines is (x, y) = (7, 0).

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The diameter of the gold atom is greater than the diameter of the oxygen atom by 7 x 10^-11 meter

The diameter of a shape (usually a round shape) is a line that divides the shape to equal parts

The diameters are given as:

Diameter of a gold atom = approximately 144 trillionths of a meter

Diameter of an oxygen atom = approximately 0.074 billionths meter

Using a calculator, we convert the above numbers to scientific numbers

So, we have

Diameter of a gold atom = approximately 1.44 x 10^-10 meter

Diameter of an oxygen atom = approximately 7.4 x 10^-11 meter

The number with the higher exponent is greater than the other number

Hence, the diameter of the gold atom is greater than the diameter of the oxygen atom

In (a), we have

Diameter of a gold atom = approximately 1.44 x 10^-10 meter

Diameter of an oxygen atom = approximately 7.4 x 10^-11 meter

Calculate the difference

d = 1.44 x 10^-10 - 7.4 x 10^-11

Evaluate the difference

d = 7 x 10^-11

Hence, the diameter of the gold atom is greater than the diameter of the oxygen atom by 7 x 10^-11 meter

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Answer:

2.2 hours or

2 hours and 12 minutes they will meet.

Step-by-step explanation:

Givens

Mary's speed = 51 mph

Friend's speed = 66 mph

Mary will be on the road for t hours

Her Friend will be on the road t - 0.5. Why minus? Because she was on the road 1/2 hour less than Mary was. Any time you see More or Less in a question, pay attention. usually it is the key to the question.

Equation

d_Mary = d_friend

d = rate * time

Solution

51 * t = 66*(t - 0.5)                 Remove the brackets.

51*t = 66*t - 66*0.5

51*t = 66*t - 33                    Subtract 66t from both sides. Be careful

51t - 66t = - 33                     Combine

- 15t = - 33                            Divide by - 15

t = - 33/-15

t = 2.2 hours or 2 hours and 12 minutues

Answer:

y = 4x + 5

Step-by-step explanation:

-4x + y = 5

-4x + 4x + y = 5 + 4x

y = 5 + 4x

Hope this helps! :)

Answer:Nose

Step-by-step explanation:Q es eso

Answer:

Since the quantity started at 90 and then changed to 160, there was clearly an increase in its value.

Step-by-step explanation:

a. S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

a. S, R, and Q are on a straight line. Therefore:

S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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The given quadrilateral is not a parallelogram.

According to the statement

We have to find that the whether the quadrilateral is a parallelogram or not.

So, For this purpose, we know that the

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

From the given information:

The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).

Then

To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.

So,

Midpoint of AC = Midpoint of BD

Midpoint of A(-6,-1),C(-1.-5)  = Midpoint of B(-5,2),D(0.-2)

( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)

( -7/2 , -6/2) = (-5/2 , 0/2)

And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.

So, The given quadrilateral is not a parallelogram.

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Answer:

  24

Step-by-step explanation:

You want the value of the product ...

  (√14 + √10i)(√14 - √10i)

The factoring of the difference of squares is ...

  a² -b² = (a +b)(a -b)

Here, we have a=√14 and b=√10i. The product of the sum and difference of these values is ...

  (√14 + √10i)(√14 - √10i) = (√14)² -(√10i)²

  = 14 -(10(-1)) = 24

The product is 24.

The kite is flying at the height of 94 5/2 feet.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

= 9.75 +84 2/3                                               { 9+0.75 = 9.75   84 2/3}

= 9 + 0.75 +84 2/3                                           { a+b+c+d = a+c+b+d}

= 9 + 84 + 3/4 + 2/3

=93 + 3*3 / 4*3 + 4*2 / 4*3

= 93 + 9/12 + 8/12

= 93 + 17/12

= 93 + (1 + 5/12)

= 94 + 5/12

=94 5/12 feet

{kite height = (post height + the height of the kite above the post)

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