Mrs.Hines has 40 ballons for a party.She has 12 more balloons than she had for her last party.How many balloons did she have last party? Is there a different equation you can write to show this problem? Explain

Given:

The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).

Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.

To find:

The coordinate of B' after a reflection across the line y=-1.

Solution:

If a figure is reflected across the line y=b, then

[tex](x,y)\to (x,-(y-b)+b)[/tex]

[tex](x,y)\to (x,-y+b+b)[/tex]

[tex](x,y)\to (x,2b-y)[/tex]

The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is

[tex](x,y)\to (x,2(-1)-y)[/tex]

[tex](x,y)\to (x,-2-y)[/tex]

The coordinates of point B are (-2,3). So,

[tex]B(-2,3)\to B'(-2,-2-3)[/tex]

[tex]B(-2,3)\to B'(-2,-5)[/tex]

Therefore, the coordinates of point B' are (-2,-5).

Answer:

Step-by-step explanation:

List all of the solutions.

x =

0 =

1 =

2 =

3 =

y =

3 =

4 =

7 =

12 =

Answer:

Step-by-step explanation:

The slope:     [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2[/tex]

y = mx + b    ←  slope intercept form

(8, 8)   ⇒   x = 8,  y = 8

so:

8 = 2·8 + b

b = - 8

The equation: y = 2x - 8

Answer:

Step-by-step explanation:

in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer  or

BC- AC = AB

does this strategy seem like a good one?

use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle

SOH     Sin = Opp / Hyp

CAH    Cos =Adj / Hyp

TOA   Tan = Opp / Adj

where Opp = Opposite side,  Adj = Adjacent side , and Hyp = Hypotenuse

we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.

when  AC is the Adj side it's

Tan(60) = 70 / Adj

Adj = 70 / Tan(60)

Adj = 40.4145

Dist. of AC = 40.4145 m

When BC is the Adj side it's

Tan(40) = 70 / Adj

Adj = 70/ Tan(40)

Adj = 83.42275

Dist. of BC = 83.42275

BC - AC = AB

83.45575 - 40.4145 =43.008

to the nearest tenth  AB = 43.0 m

Answer:

c

Step-by-step explanation:

the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.

Answer:

under square root of 50 ([tex]\sqrt{50}[/tex])

Step-by-step explanation:

Use pythagorean theorem. a^2 + b^2 = c^2. 5^2 is one leg, the other leg is also 5^2, and the x is what we need. So 5^2 is 25. 25 + 25 is 50. Thus, x is  (or under square root of 50), which is our answer!

Answer: 27 ft

Step-by-step explanation:

Given

the angle of elevation is [tex]\theta =4^{\circ}[/tex]

Length of track is [tex]L=387\ ft[/tex]

Vertical rise is given by

[tex]\Rightarrow \sin (4^{\circ})=\dfrac{H}{387}\\\\\Rightarrow H=387\sin (4^{\circ})=26.99\approx 27\ ft[/tex]

Answer:

29.9 times or approximately 30 times

Step-by-step explanation:

[tex]\pi d[/tex]

3.14×0.5

=1.57

so, 47/1.57

=29.9363057325

Answer:

Statements A, C and D are true

Step-by-step explanation:

True statements:

A.) ∠AZB and ∠BZD are a pair of supplementary angles.

C.) The value of x is 17.

D.) ∠AZC and ∠CZD are a pair of complementary angles.

The mean of the given sequence is 7, the median is 8 and the mode is 10.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = [1, 2, 2, 3, 3, 3,..., 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]/ 55

Mean = 385 / 55

Mean = 7

Median represents the middle value of the given data when arranged in a particular order so,

Here the median is 8.

Mode is that number that appears most frequently in the given set of data which is 10.

Learn more about mean and median;

https://brainly.com/question/17060266

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[tex] \huge \colorbox{pink}{Question } [/tex]

solve this system using substitution x+5y=-32 y=3x

[tex]x + 5y = - 32 \\ x + 5(3x) = - 32 \\ x + 15x = - 32 \\ 16x = - 32 \\ \frac{16x}{16} = \frac{ - 32}{16} \\ x = - 2[/tex]

[tex]y = 3x \\ y = 3( - 2) \\ y = - 6[/tex]

[tex] \huge \colorbox{pink}{Answer} [/tex]

Hope it helps ^_^

Answer: A = -7

Step-by-step explanation: -6 x -7 = 42. Hope this helps :)

Answer:

The three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Step-by-step explanation:

1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root

We can write the quadratic equation as follows;

x² + 3 = 0

∴ x = √(-3) = √(-1) ×√3 = i·√(3)

Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0

2) A quadratic that has 1 real root is of the form;

(x + 1)² = 0

The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²

Which gives;

(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0

Therefore, the quadratic (x + 1)² = 0 has only one real root

3) A quadratic that has 2 real root is of the form;

(x + 1)·(x + 2) = 0

x² + x + 2·x + 2 = 0

x² + 3·x + 2 = 0

Therefore, the three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Answer:61

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Consecutive angles are supplementary, sum to 180° , then

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20 → A

Answer:

F = - 20h + 450

Step-by-step explanation:

Since the relationship is linear then the function is of the form

F = ax + b

Calculate a using the slope formula

a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table

a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then

F = - 20h + b ← is the partial equation

To find b substitute any ordered pair from the table into the partial equation

Using (3, 390 ), then

390 = - 60 + b ⇒ b = 390 + 60 = 450

F = - 20h + 450 ← linear function

Answer:

m = 2/3, you were correct

Step-by-step explanation:

plot the point on a graph

calculate the rise by going up alongside the y axis

the rise is 2

calcualte the run it takes to get to the second point

the run is 3

m = rise/run = 2/3

m = 2/3

Plz mark as brainliest if correct! Have a nice day!!!

Answer:

Well, if y is 1

Then the equation would be y = 1 (2x)

So, depending on the answer options. Y would be double of whatever the X value is.

See how 1 X value is worth 2 Y?

Example Attached

Answer:

Step-by-step explanation: first you have to divide to get your answer

98.85/20%= $494.25 is ur answer

9514 1404 393

Answer:

  E.  16

Step-by-step explanation:

If the order of points on the line is ABCD, the distance between A and D is ...

  AB +BC +CD = 5 + 9 + 3 = 17

If the order of points on the line is BADC, the distance between A and D is ...

  BC -BA -DC = 9 -5 -3 = 1

Then the difference between the longest and shortest possible distances AD is ...

  17 - 1 = 16 . . . . matches choice E

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

Answer:

Height of the tree is [tex]37.88[/tex] feet

Step-by-step explanation:

The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.

Height of the tree [tex]= 5 + X[/tex]

[tex]tan \Theta =[/tex] Perpendicular / Base

[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]

Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet

9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35