A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?

Answer:

C

Step-by-step explanation:

There is no class at 8:30 at studio B

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. They have NO SOLUTION.

__

Add the two equations and you get ...

  0 = -5 . . . . . . False

No values of the variables will make this be true.

Answer:

i think it's b because 80 days is max

Answer:

To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.

Applying the distributive property, we have:

(-5i)(7 + i) = (-5i) * 7 + (-5i) * i

= -35i + (-5i) * i

Now, you need to use the fact that i * i = -1:

(-5i)(7 + i) = -35i + (-5i) * i

= -35i + (-5) * (-1)

= -35i - 5

= -40i - 5

So the final result is -40i - 5.

The acceleration of the particle is 1 foot per second square

From the question, we have the following parameters that can be used in our computation:

Velocity function v(t) = −t2 + 5t − 3

Express properly

So, we have

v(t) = -t² + 5t − 3

At time t = 3 seconds, we have

v(3) = -(3)² + 5(3) − 3

Evaluate

v(3) = 3

So, we have

Acceleration = v(3)/3

This gives

Acceleration = 3/3

Evaluate

Acceleration = 1 foot per second square

Hence, the acceleration is 1 foot per second square

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Answer:

sec(∠F) = [tex]\frac{41}{9}[/tex]

Step-by-step explanation:

In triangle EFD,

m∠F = 90°

Adjacent side of ∠E = EF = 9 units

Opposite side of ∠E = DF = 40 units

Hypotenuse = DE = 41 units

For secant of ∠E ,

sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{41}{9}[/tex]

Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.

Answer:

for (anthropology) majors, the standard deviation is an approximate measure of spread

The (economics) majors, have a greater standard deviation in SAT scores

Answer:

Step-by-step explanation:

Given:

Z-score is:

Answer:

$12

Step-by-step explanation:

Hi there!

What we know:

Therefore, 8 × (cost of 1 bag) - 5 = 91

Form an equation with x as the cost of 1 bag of dog food:

8 × (cost of 1 bag) - 5 = 91

[tex]8x-5=91[/tex]

Add 5 to both sides

[tex]8x-5+5=91+5\\8x=96\\[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]

Therefore, 1 bag of dog food costs $12.

I hope this helps!

Answer:

[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{x^2 - 1[/tex]

[tex]g(x) =\sqrt{x - 1[/tex]

Required

Find [tex](\frac{f}{g})(x)[/tex]

[tex](\frac{f}{g})(x)[/tex] is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

This gives:

[tex](\frac{f}{g})(x) = \frac{\sqrt{x^2 - 1}}{\sqrt{x - 1}}[/tex]

Apply difference of two squares on the numerator

[tex](\frac{f}{g})(x) = \frac{\sqrt{x - 1}*\sqrt{x + 1}}{\sqrt{x - 1}}[/tex]

[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]

Given:

A right triangle with angles 30, 60, 90 degrees.

Hypotenuse = [tex]2\sqrt{2}[/tex] mm.

Base = y

To find:

The value of y.

Solution:

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]

[tex]\sqrt{2}=y[/tex]

Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.

Answer:

50

Step-by-step explanation:

Angle 95 and ( 2x - 5 ) are alternate interior angles.

Alternate interior angles are equal.

2x - 5 = 95

2x = 95 + 5

2x = 100

x = 100 / 2

x = 50

Answer:

B = -1

C = -1/2

D = 0

I hope this helps

Step-by-step explanation:

Let the unit distance be 'x'.

There are 4 units in between A and E. It means,

A(unit) + 4(unit) = E(unit)

-1 (1/2) + 4x = (1/2)

-(2+1)/2 + 4x = 1/2

- 3/2 + 4x = 1/2

4x = 1/2 + 3/2

4x = 4/2

x = 1/2

B is at distance x from A= -3/2 + 1/2 = -1

C is at distance 2x fromA=-3/2+2(1/2)=-1/2

D is at distance 3x from A=-3/2+3(1/2)=0

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]

[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]

Answer:

It is D: an =  (– 1/6) ⋅ an–1

Step-by-step explanation:

Answer:

the correct answer is-2-x

Answer:

20

Step-by-step explanation:

The line measures a total of 180°

So make an equation where all of the angles added together = 180

100 + 3x + x = 180

Then solve for x.

First, combine like terms.

100 + 4x = 180

Subtract 100 from both sides

4x = 80

Divide both sides by 4 to isolate x

x = 20

Answer:

Shop B

Step-by-step explanation:

First, find the number of scarves that Shop A sold: 15% of 120 scarves is 15/100 * 120 scarves = 18 scarves.

Then, find the number of scarves that Shop B sold: an eighth of 152 scarves is 152/8 = 152/8 = 19 scarves.

Since 18 scarves is less than 19 scarves, Shop B sold more scarves.

The length of UV in the circle is given as follows:

13.2.

We are given two secant segments in the circle for this problem.

For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.

Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:

(22 + 17) x 17 = (20 + UV) x 20

Hence we must simply solve the expression to obtain the length of UV, as follows:

39 x 17 = 400 + 20UV

663 = 400 + 20 UV

20 UV = 263

UV = 263/20

UV = 13.2.

The circles are given by the image presented at the end of the answer.

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Answer:

You have to divide to unit price, 169/13 is equal to 13!

Step-by-step explanation:

The complete statement is f(2) = 8+5√7

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here f(x)=2x²+5√7

Thus f(1) = 2×4+5√7

              = 8+5√7

Hence, The complete statement is f(2) = 8+5√7

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Answer:

4 pd / ft

140000 ft/pd

Step-by-step explanation:

Total Weight of cable = 800 pounds

Length of cable = 200 feets

Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot

Weight of piece will be :

Weight of cable - weight per foot * x

800 - 4x

Workdone with 300 pound load attached :

∫f(x)

f(x) = (800+300 - 4x) = 1100 - 4x

∫1100 - 4xdx at 200 to 0

Integrating the above

1100x - 4/2x² at x = 200 to 0

1100x - 2x²

1100(200) - 2(200²) - 1100(0) + 2(0^²))

(220000-80000) - 0 + 0

140000 ft/pd

Answer:

B

Step-by-step explanation:

Solution to these system of equations is where they intercept

Answer:

B. (-2, -3)

Step-by-step explanation:

Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).

The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.

A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤

Frank participates in exercise program at least 6 hours in each week.

He spends at most 12 hours on weight training

y denotes the time in hours that he spends on weight training.

Frank spends at most 3 hours doing cardiovascular works

x denotes the time in hours that he spends doing cardiovascular works

The expression that can represent the above statement.

can be written as

x ≤ 3 and y≤ 12

x ≤ 3 + y ≤ 12 ≥ 6

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Answer:

im nice at ping pong

Step-by-step explanation:

The expression 10+(-8) is equivalent to 10 - 8.

Different branches of mathematics exist. The branch of knowledge that deals with numbers and operations is arithmetic. We learned how to add, subtract, multiply, and divide two or more numbers through arithmetic.

Shapes and how they are created with various tools, such as a compass, ruler, and pencil, are the focus of geometry. Another fascinating area of study is algebra, which helps us communicate the numerical and alphabetic aspects of daily life (variables).

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

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Full question

What expression is equivalent to 10-8?

On solving the equation n = za the value of a is obtained as a = n/z.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

To solve for a in the equation n = za, isolate a on one side of the equation.

Do this by dividing both sides by z:

n/z = (za) / z

On the right side, the z's cancel out, leaving -

n/z = a

So the solution is -

a = n/z

Therefore, the value of a that satisfies the equation n = za is equal to n divided by z.

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Answer:

[tex]\frac{x}{3} +5[/tex]

Step-by-step explanation:

5 more than means "+ 5"

quotient means fraction so x is the numerator and 3 is the denominator

[tex]\frac{x}{3} +5[/tex]