AA'B'C'is a reflection of AABC over the y-axis. What is the length of A'C'?

Answer:

v=−27

Step-by-step explanation:

Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.

−6(3v−4)+8v=4(v+7)

Simplify −6(3v−4)+8v

−10v+24=4(v+7)

Simplify 4(v+7).

−10v+24=4v+28

Move all terms containing v to the left side of the equation.

−14v+24=28

Move all terms not containing v to the right side of the equation.

−14v=4

Divide each term by −14 and simplify.

v=−27

The result can be shown in multiple forms.

Exact Form:

v=−27

Answer:

The order of arithmetic calculations is

B - Bracket

O - off

D - Division

M - Multiplication

A - Addition

S - Subtraction

Use this to solve

Answer:

r

sin

θ

=

−

3

Step-by-step explanation:

,

Answer:

2cis (7pi/6)

Step-by-step explanation:

The triangles ABC and SDC are similar triangles

From the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.

Hence, Gilligan can conclude that triangles ABC and SDC are similar

To do this, we make use of the following equivalent ratio

[tex]SD : 130 = AB : 23[/tex]

Substitute 90 for AB

[tex]SD : 130 =90 : 23[/tex]

Express as fraction

[tex]\frac{SD}{130} =\frac{90}{ 23}[/tex]

Make SD the subject

[tex]SD =\frac{90}{ 23} * 130[/tex]

[tex]SD =509[/tex]

Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft

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Answer:

1200 ounces

Step-by-step explanation:

How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?

Let us represent

Number of ounce of 10% copper = x

Hence, our Equation =

x × 10% + 600 × 70% = (x + 600) × 30%

0.1x + 420 = (x + 600)0.3

0.1x + 420 = 0.3x + 180

Collect like terms

0.3x - 0.1x = 420 - 180

0.2x = 240

x = 240/0.2

x = 1200 ounces

Answer:

Step-by-step explanation:

c = 10h

h is the independent variable.

c is the dependent variable.

Using the distributive property, distributing -1 ; multiplies each term in the parenthesis by a negative sign. Hence, it is similar to subtraction because You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.

The additive inverse of a value is the value which ensures that the addition of two values gives 0.

Using the relation :

(w + x) - (y + z)

The negative sign implies distributing -1 to all values in the parenthesis ;

w + x - y - z

Hence, it is similar to using the subtraction operation directly :

(w + x) - y - z

Therefore, subtraction ls similar to distributing - 1

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Answer:

Trippin trippin

Step-by-step explanation:

Like frfr Trippin trippin

Answer:

Walmart has the better deal

Step-by-step explanation:

If you do $120/8 dolls you get $15 for each doll at Walmart. If you do $102/6 dolls you get $17 for each doll. You know $15 is less than $17 making it cheaper and a better deal. Target's dolls are $2 more than Walmart. $17-$15=$2

By rational it means that which number can be expressed as a fraction, let's simplify and check each one.

Sqrt20=2*sqrt5

sqrt 5 is irrational

sqrt32=4sqrt2

sqrt2 is irrational

sqrt45=3sqrt5

sqrt5 is irrational

sqrt64=8

8 is rational!

Answer:

[tex]\frac{28}{60}[/tex]([tex]\frac{7}{15}[/tex])

Step-by-step explanation:

b/c 4/5*7/12

means 4*7 and 5*12

then28/60

hope it's helpful

THANK YOU.

Answer:

h = 13ft

Step-by-step explanation:

We can assume that the triangles are similar, so:

5 ft is to 26 ft as 2.5 ft is to h ft.

Which can be set up like this:

[tex]\frac{5}{2.5}=\frac{26}{h}[/tex]

We can cross multiply:

5h = (2.5) (26)

5h = 65

h = 13ft

Answer:

Step-by-step explanation:

Draw the altitude from the vertex angle to the base. You have two congruent, right triangles. The hypotenuse of each triangle is

√[(56/2)²+45²] = √[28²+45²] = √2809 = 53 mm

perimeter of larger triangle = 2×53 + 56 = 162 mm

there are 10  different combinations of pairs of colors.

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.

from the formula of combination;

total combination  ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]

Where, n = total numbers

r = desired number out of total

In our case

n = 5 and r = 2

Thus, the Total combination = ⁵C₂

Total combination = 5! / (3! *2!)

total combination = 5 *4 /2 = 10

therefore, There are ten distinct ways to pair the colors together.

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Answer:

0.62360956 is the answer to this question.

Answer:

According to logarithmic properties.... The right hand side can be written as

log base 7 (180/3).....which is log base 7 60

So according to the question cancel out the log base 7 from both sides....

Then we get 8r + 20 = 60

That is 8r = 40..

That is r = 5......

Therefore the value of r is 5

Answer:

m=2

Step-by-step explanation:

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Answer:

1111¹5&-78+&%%567;!9098888

Answer:

3%

Step-by-step explanation:

Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?

This is a simple interest question

The formula to find the rate is given as:

Equation:

r = (1/t)(A/P - 1)

t = time = 4 years

P = Principal = $12500

I = Simple Interest = $1500

A = Total Amount = Principal + Simple Interest = $12500 + $1500

= $14000

Calculation:

Solving our equation:

r = (1/4)((14000/12500) - 1) = 0.03

r = 0.03

Converting r decimal to R a percentage

R = 0.03 * 100 = 3%/year

Answer:

D) 11 cause it is only found form multiplying 1 and 11

Answer:

Step-by-step explanation:

[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]

Answer:

G 15.99h > 188.55 + 9.75h

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex] is the answer

Step-by-step explanation:

you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]

Answer:

( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )

Step-by-step explanation:

[tex]3x^{2}[/tex] - 2[tex]x[/tex] - 5

(Multiply 3 from [tex]3x^{2}[/tex] with -5)

Product = -15

Sum = -2

(3 times - 5 gives the product '-15' and 3 plus -5 gives the sum -2)

[tex]3x^{2}[/tex] + 3[tex]x[/tex] - 5

3[tex]x[/tex] ( [tex]x[/tex]  + 1 ) - 5 ( [tex]x[/tex] + 1 )

= ( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )