Find the equation for the line that passes through the point (5, -1), and that is parallel to the line with the equation y =-1/4x-9/2

Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,

[tex]x_m=\frac{x_1+x_2}{2}[/tex]

[tex]y_m=\frac{y_1+y_2}{2}[/tex]

We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].

First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,

[tex]x_2=2x_m-x_1[/tex]

[tex]y_2=2y_m-y_1[/tex]

Now insert the data,

[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]

[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]

The coordinates of B are therefore [tex](5,-2)[/tex].

Hope this helps :)

The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).

To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6),  use the midpoint formula:

Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that M is the midpoint (1, 2) and A is (-3, 6), we have:

(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)

Solve for x2 and y2:

For x-coordinate:

1 = (-3 + x2) / 2

2 = -3 + x2

x2 = 2 + 3

x2 = 5

For y-coordinate:

2 = (6 + y2) / 2

4 = 6 + y2

y2 = 4 - 6

y2 = -2

To know more about coordinates here

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Answer:

f(x) = (x + 3)(x − 3)(x − 1)

Step-by-step explanation:

The roots are at -3, -1 and 3 therefore the 3rd option is correct.

Answer:

The answer is D

Step-by-step explanation:

Attatched photo for proof

Step-by-step explanation:

200m:1.4km

200m:1400m

1:7

Answer:

y=10

Step-by-step explanation:

y/5+7=9

y/5=9-7

y/5=2

y=2*5

y=10

Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

Answer:

-101

Step-by-step explanation:

An addition sign in front of the negative number means to subtract that number.

Another way to write -37 + (-64) is:

-37 - 64

-37 - 64 = -101

Answer:

(5,7.5)

Step-by-step explanation:

Hope this helps (:

Answer:

the Highest common factor (HCF)of 8,12,24 is 4

Answer:

A = 2 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the distance between parallel sides and b₁, b₂ , the parallel sides

Here h = 1, b₁ = 3, b₂ = 1 , then

A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

Answer:

tan 76 = 24/8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 76 = 24/8

20×2×÷

2920w0#

393020×22¥3¥

3i839393

Answer:

if we join the angle Z the it will formed as acute angle

if you like ans hit like

thank you

Answer:

the base is 8 cm

Step-by-step explanation:

basically, we need to set up a system of equations.

if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.

1/2bh = 52 and h = b+5

subsitute in the (b+5) for the h in the first equation to get

(1/2)(b)(b+5) = 52

multiply both sides by two to get rid of the 1/2

b)(b+5) = 104

now multiply the bs together!

b^2 + 5b = 104

If you know how to factor, we can make this

b^2 +5b -104 and then

(b+13)(b-8) = 0

solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.

Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.

When you plug in the 13 and 8 into the area equation, you get

(8)(13)(1/2) = 52

52 = 52

so it works!

lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula

[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..

hope that helps! :)

Answer:

2yz/x

Step-by-step explanation:

Given: z/4=x/y

Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.

Cross multiply:

zy=4x

Divide both sides by x:

zy/x=4

Multiply both sides by 2:

2zy/x=8

Answer:

2/5

Step-by-step explanation:

Use the formula for slope to solve [ y2-y1/x2-x1 ].

7-5/9-4

2/5

Best of Luck!

Answer:

it must be 2983548×2............

Answer:

9.6 × 10  6

Step-by-step explanation:

(7.584 × ) ÷ (7.9 × 10²)

This gives;

×    = 0.96 ×

Simplifying further gives;

9.6 ×  = 9.6 ×

Answer:

y = 5x + 2

Step-by-step explanation:

Add 10x to both sides

2y = 10x + 4

Divide both sides by 2

y = 5x + 2

9514 1404 393

Answer:

  g(f(7/3)) = 4 4/9

Step-by-step explanation:

  g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9

  g(f(7/3)) = 4 4/9

Answer:

Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.

Answer:

24.64

Method:

You get 10% of the shirt cost, and it on to the 22.40

Answer:

for the mean you have to do formula efx/n other i dont know

Answer:

Step-by-step explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 =  21

9514 1404 393

Answer:

  2⁴·7³

Step-by-step explanation:

The set of primes that are factors of 21952 is {2, 7}.

The set of primes that are factors of 115248 is {2, 3, 7}.

Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.

The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.

The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.

So, the Highest Common Factor of the two numbers is 2⁴·7³.

Answer:

The unknown number is 2.

Step-by-step explanation:

Let x represent the unknown number.

It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:

[tex]9x + 3[/tex]

The sum is equal to the product of 3 and 7, or 21. Therefore:

[tex]9x + 3 = 21[/tex]

Solve for x. Subtract 3 from both sides:

[tex]9x = 18[/tex]

And divide both sides by 2. Hence:

[tex]x = 2[/tex]

In conclusion, the unknown number is 2.

hope you do not mind expressing this on in English ‍♂️

Answer:

yes it is a dilation

Step-by-step explanation:

a dilation makes the size different but shape the same. as we can see the shape is the same meaning this is a non rigid motion or called a dilation.

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B

Answer and Step-by-step explanation:

First, distribute the numbers outside of the parenthesis to the numbers on the inside.

-12x - 9 + 24x + 4 = 43

Combine like terms.

12x - 5 = 43

Add 5 to both sides.

12x = 48

Divide by 12 on both sides of the equation.

x = 3 <- This is the answer.

#teamtrees #PAW (Plant And Water)

Leave any questions you have, put it in the comments below :)

Answer:

x=-14

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].

hope this helps!