Find the distance between (-8, -2)
and 6, -1)

Answers

Answer 1
Answer:

The distance between the given coordinate points is √(197) units.

The given coordinate points are (-8, -2) and (6, -1).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x_1, y_1) and (x_2, y_2) is Distance = √((x_2-x_1)^2+(y_2-y_1)^2).

Substitute (x_1, y_1)=(-8, -2) and (x_2, y_2)=(6, -1) in distance formula, we get

Distance = √((6+8)^2+(-1+2)^2)

Distance = √((14)^2+(1)^2)

Distance = √(196+1)

Distance = √(197) units

Therefore, the distance between the given coordinate points is √(197) units.

To learn more about the distance formula visit:

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Answer 2
Answer:

Answer:

-8,-2= 6

6,-1=7

Step-by-step explanation:

get a number line and use that to it and look up how to use a number line with negative numbers it’s not hard once you see how it’s done


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Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the distance traveled in 1 minute at this speed
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Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x^2 + 3x = 10 16. 4x2 = 100

Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =

Answers

Answer:

x=4

Step-by-step explanation:

We have the quadratic function:

\displaystyle y=0.3(x-4)^2-2.5

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

y=a(x-h)^2+k

Where (h, k) is the vertex of the parabola.

From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the x-coordinate of the vertex.

The x-coordinate of the vertex is 4.

Therefore, the axis of symmetry is x = 4.

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.

Answers

Answer:

1 and 1 on edg 2020

Step-by-step explanation:

just did the assignment

next question : Find the following determinant by hand.

answer is : 1

Next question : In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.

Answer : cos^2x + sin^2x

Next question : Using trigonometric identities, this can be simplified to

Answer : 1

Answer:

continuing with whole assignment, first half is creditied to brainly user above.

Step-by-step explanation:

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.: 1 and 1

next question : Find the following determinant by hand.

answer is : 1

Next question : In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.

Answer : cos^2x + sin^2x

Next question : Using trigonometric identities, this can be simplified to

Answer : 1

/next question: In the lesson, you used the following matrices to create reflections

Answer: All these reflections resulted in CONGRUENT figures.

next question: Find the determinant of each of these: answer:   - 1

next question: A • At =

 a  b  

c d

 where At is the transform of A. answer: a=1 b=0 c=0 d=1

next question: Repeat this process for the other three matrices. The product of a reflection matrix and its transpose is the identity matrix

Choose the correct choice for the matrix after applying the transformation to the triangle: A

The resulting matrix creates an image that is  to the original triangle.: not similar

Find the determinant of the rotation matrix.

Det R = 1 which matches the determinant for our other translation matricies

Find the product of the matrix and its transpose:  R·Rt  is none of the above

Determine the amount of aninvestment if $400 is invested at
an annual interest rate of 7.25%
for 7 years. Round to the nearest
penny.
$[ ? ]

Answers

Answer:

$652.89

Step-by-step explanation:

i believe this is the answer hope i helped :D

Ope Equationfy
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.

Answers

the equation of the line in slope-intercept form is:

y = (1/2)x - 2

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

From the graph, two points on the line are (-4, -4) and (4,0),

The formula for the slope of a line is:

m = (y₂ - y₁) / (x₁ - x₁)

where (x₁, y₁) and (x₂, y₂) are two points on the line.

Using the given points (-4, -4) and (4, 0), we can calculate the slope:

m = (0 - (-4)) / (4 - (-4))

m = 4 / 8

m = 1/2

Now that we know the slope, we can use the slope-intercept form of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

To find the y-intercept, we can use one of the givenpoints on the line. Let's use the point (-4, -4):

y = mx + b

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

-4 = -2 + b

b = -2

Therefore, the slope-intercept form of the line is y = (1/2)x - 2.

Learn more about Linear equations here:

brainly.com/question/11897796

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Answer:

A

Step-by-step explanation:

For point-slope form, you need a point and the slope.

y - y₁ = m(x - x₁)

Looking at the graph, the points you have are (4, 0) and (-4, -4).  You can use these points to find the slope.  Divide the difference of the y's by the difference of the x's/

-4 - 0 = -4

-4 - 4 = -8

-4/-8 = 1/2

The slope is 1/2.  This cancels out choices C and D.

With the point (-4, -4), A is the answer.

Consider the statement p:x+9=10.which of the following is a equivalent statement

Answers

Answer:

The equivalent expression for x+9=10 is x=1.

Step-by-step explanation:

We have a statement i.e. x+9=10

We need to find an equivalent statement for the above statement.

If we subtract 9 on both sides of the above statement,

x+9-9=10-9

We know that, 9-9=0 and 10-9 =1

x+0=1

x=1

So, the equivalent expression for x+9=10 is x=1.

HELP PLEZ TRIGONOMETRY!

Answers

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha

Solution:

Given that we have to simplify:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) ---- eqn 1

We know that,

sin^2 x = 1 - cos^2 x

Substitute the above identity in eqn 1

(2\left(1-\cos ^(2) \alpha\right)-1)/(\sin \alpha+\cos \alpha)

Simplify the above expression

(2-2 \cos ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)

(1-2 \cos ^(2) \alpha)/(\sin \alpha+\cos \alpha) ------- eqn 2

By the trignometric identity,

(sin x + cos x)(sin x - cos x) = 1-2cos^2 x

Substitute the above identity in eqn 2

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)

Cancel the common factors in numerator and denominator

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)=\sin \alpha-\cos \alpha

Thus the simplified expression is:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha