Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?​

Answer:

164.4

Step-by-step explanation:

m<ABC = m<ABK + m<KBC

17x + 8 = 42 + 12x - 4

17x - 12x = 42 - 4 + 8 add like terms

5x = 46 divide both sides by 5

x = 9.2 now replace x with 9.2 in 17x + 8

17*9.2 + 8 = 164.4

Answer:

Step-by-step explanation:

Hope this helps u !!

Step-by-step explanation:

given pi value= 3

radius=7

we know,

area of a circle(A)= πr²

= 3×7²

=147cm²

Answer:

A = 147 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 7 cm

Step 2: Find Area

Answer:

36 sq units

Step-by-step explanation:

the area of shaded part =

(½×12×12) - (6×6)

= 72-36

= 36 sq units

Answer:

what are the options...

Step-by-step explanation:

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

y = 2x² + x - 6

Answer:

option A

Step-by-step explanation:

A quadratic equation is a single variable polynomial of degree 2.

[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

Answer:

12cm

Step-by-step explanation:

Area of square = Area of rectangle

Area of square = length x breadth

Area of square = 9 x 16 = 144(cm)^2

(side)^2 = 144

side = √144

side = 12cm

12cm

Step-by-step explanation:

area of square=area of rectangle

s^2=L*W

area of rectangle=length * width

area of rectangle=9cm*16cm=144cm^2

s^2 =144cm^2

s=12 cm

Answer:

$500

Step-by-step explanation:

f(x) = 0 + 10h

f(x) = $C

$C = 0 + 10(50)

55-5 = 50

$C = 10(50)

$C = $500

Answer:

68.9 in^2

Step-by-step explanation:

first lets find the height of the blue triangle

hypotenuse = 15 in

one side is 12 in whereas other has to be find.

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.76 = opposite/15

0.766*15 = opposite

11.49 = opposite

area of triangle = base*height/2

=12*11.49/2

=136.88/2

=68.94

=68.9 in^2

Answer:

A = 68.9 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are 2 sides and C the angle between them )

Here a = 12, b = 15 and C = 50° , then

A = [tex]\frac{1}{2}[/tex] × 12 × 15 × sin50°

   = 6 × 15 × sin50°

   = 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3

Answer:

(B). 265 miles

Step-by-step explanation:

She travelled 75 mph for 3 hours and 40 mph for 1 hour.

Therefore, 75 + 75 + 75 + 40 = 265 miles

If this helps you, please mark brainliest!

-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)

Using it's concept, the probability that a student liking music given they already like art is of 10/17 = 0.5882 = 58.82%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, from the Venn Diagram, there are 17 students who like art, and of those, 10 like music, hence the probability is given by:

10/17 = 0.5882 = 58.82%.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

(15,9)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The intersect at x=15 and y =9

(15,9)

Answer:

its c trust me. ive seen some stuff like this before

Answer:

question a is technically 7.5 and question b is 7.5

Step-by-step explanation:

half half

Answer: the total number of milk chocolate is 6

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.

Answer: I think a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The sum of two non-zero even numbers is even and greater than the addends

Step-by-step explanation:

The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p

Let the second number be q

Now , the values of p and q are even

So , when p = 2 and q = 4

The sum of two non-zero even numbers is even and greater than the addends

p + q > q   be equation (1)

p + q > p   be equation (2)

2 + 4 > 4

2 + 4 > 2

6 > 4 and 6 > 2

Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

Answer:

[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]

Answer:

[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]

Answer:

This question is asking for the pattern , not the factoring of it...

this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]

Step-by-step explanation:

Answer:

(x - 8)²

Step-by-step explanation:

This is in the form of a perfect square, that is

(x + b)² = x² + 2bx + b²

with x = x - 3 and by comparison of like terms

2b = - 10 ⇒ b = - 5

Then

(x + b)²

= (x - 3 - 5)²

= (x - 8)² ← in factored form

Answer:

The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \sqrt{x - 7}[/tex]

Domain of the square root function:

The square root does not exist for negative values, so the domain of a square root function:

[tex]g(x) = \sqrt{h(x)}[/tex]

Is [tex]h(x) \geq 0[/tex]

In this question:

[tex]f(x) = \sqrt{x - 7}[/tex]

Then:

[tex]h(x) = x - 7[/tex]

[tex]x - 7 \geq 0[/tex]

[tex]x \geq 7[/tex]

The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]

Answer:

the answer is 8 and x>or equal 7 and the only option greater than 7 is 8

Step-by-step explanation: