Which function has a range of all real numbers
less than or
equal to -3

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.

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:

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:

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:

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

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:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

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Hope this is what you were looking for and helps you! Have a nice day/night :)

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:

c

Step-by-step explanation:

9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

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:

answer is B

Step-by-step explanation:

I am in high school and I learned this a month ago anyways

Answer:61

Step-by-step explanation:

Answer:

Step-by-step explanation:

List all of the solutions.

x =

0 =

1 =

2 =

3 =

y =

3 =

4 =

7 =

12 =

Answer:

X is 28

Step-by-step explanation:

All angles in a triangle ad up to 180 degrees.

85 + 67=152

180-152=28.

Hope it helped.

Answer:

28

Step-by-step explanation:

All triangles equal 180.

85+67=152

180-152=28

Your answer is 28

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:

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:

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!!!

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: 48

Step-by-step explanation:

plug in 4 for r and solve

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

Answer:

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

98.85/20%= $494.25 is ur answer