Slope is -1/2 and (-3,2) is on the line

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

Step-by-step explanation: ???

Recursive Formula

[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]

The top row says the first term is 8

The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.

Note the subscripts tell us which term we're working with.

======================================================

Arithmetic Formula

We have a = 8 as the first term and d = -7 as the common difference.

a(n) = a + d(n-1)

a(n) = 8 + (-7)(n-1)

a(n) = 8 - 7n + 7

a(n) = -7n+15

The nth term arithmetic formula is a(n) = -7n+15

If you plug in n = 1, you should get a(n) = 8

If you plug in n = 2, you should get a(n) = 1

and so on.

=======================================================

Finding the 10th term

Plug in n = 10 to get

a(n) = -7n+15

a(10) = -7(10)+15

a(10) = -70+15

a(10) = -55

The 10th term is -55

T(t) = temp at any given time t = time. To = initial temp of the heated object ... A cake removed from the oven has a temperature of 210°F It is left to room that has a temperature of 70°F. After 30 minutes, the temperature of in is 140°F a. Use Newton's Law of Cooling to find a model for the temperatur ... 20 = 1402 -0.02317.

Answer:

It’s depends on how much of your grade the assignment was worth

Step-by-step explanation:

Answer: Im pretty sure it will effect your grade by 24% if thats the answer your looking for. It also depends on how much the assignment was actually worth

Answer:

945678

Step-by-step explanation:

i took the test

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:)

1) 50% of 60 is 30

2) 8 out of 80 is 10%

You're welcome :)

Answer:1. 30

2. 10%

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

3 x 2 - x + 7 + 5 x + 2 - 2 x 2

6 - x + 7 + 5x + 2 - 4

6 + 7 + 2 - 4 - x + 5x

13 - 2 + 4x

11 + 4x

Answer:

Joe would be paying $700 in 5 years time.

Step-by-step explanation:

Answer:

In 4 years Joe would have to pay $1,680 in simple interest.

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time

Once I found all of those I put them into the equation (l = Prt) and solved. That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Have a great day!

Answer:

It is 90 degrees

Step-by-step explanation:

Answer:

9x8=72      72-8=64  64x9=576

Step-by-step explanation:

Answer:

Nine times the difference of 8 and a number = 9(x-8)

Answer:

if sin B = sin Y then sin Y = 12/13

Step-by-step explanation:

Triangle ABC is similar to Triangle XYZ

Let angle C be the right angle

Cosine of B is equal to 5/13

Cos B = adjacent/hypotenuse = 5/13

NOTE = below is the lowercase letters that represent the side lengths, not the angles

Adjacent (length of a) = 5 <-- given

Hypotenuse (length of c) = 13 <-- given

Opposide (length of b) = a^2 + b^2 = c^2 --> 5^2 + b^2 = 13^2 --> b = 12

sin B = sin Y

sin B = opp/hyp = 12/13

if sin B = sin Y then sin Y = 12/13

Answer:

1.5

Step-by-step explanation:

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]

The angle is calculated as the inverse tangent:

[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]

The firefighter should extend the ladder at 54° of elevation.

Answer:

x=10

Step-by-step explanation:

let me know if correct

Answer:

x=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

Answer:

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Step-by-step explanation:

9x^4+2x^2y^2+y^4

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Both terms are perfect squares. So you will factor using the difference of squares formula. a^2-b^2=(a+b)(a-b)

Take what the square is for every term.

9x^4. What squared is 9? 3 and take half of the power or 2. That's how you get the 3x^2

2x^2y^2 is the same way. 2xy and 2xy

y^4 is y but dived he powers by 2 to get y^2.

Take one of each and but in () like I have above.

Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

Answer:

Thanks for the points lol

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

70% to 0.70

60*0.70= 42

Answer: 22 gallons of gas.

The amount of gas needed to travel 330 miles will be 36.67 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A van travels 180 miles on 12 gallons of gas. Then the rate is given as,

Rate = 20 / 180

Rate = 0.1111 gallons per mile

At that rate, the amount of gas needed to travel 330 miles will be given as,

⇒ 330 x 0.1111

⇒ 36.67 gallons

The amount of gas needed to travel 330 miles will be 36.67 gallons.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

I got -45.1 but idek if its right or not

Answer:

-45.1

Step-by-step explanation:

-6*7.1 + 2.5

-42.6 + 2.5

= -45.1

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

The answer is  y= 23/4