3x-5y-7=0
X=2k-1.
Y=k

A rectangle has 4 coordinates.

The coordinate of the last vertex is (-2,-8)

The points are given as:

[tex]\mathbf{A = (-7,-4)}[/tex]

[tex]\mathbf{B = (1,6)}[/tex]

[tex]\mathbf{C = (6,2)}[/tex]

Calculate distance AB

[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]

Calculate distance CD

[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]

Equate AB and CD

[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]

Cancel out the squares

[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]

By comparison

[tex]\mathbf{x -6 = -7-1}[/tex]

[tex]\mathbf{y-2 = -4-6}[/tex]

So, we have:

[tex]\mathbf{ x = 6-7-1 }[/tex]

[tex]\mathbf{ x = -2}[/tex]

[tex]\mathbf{y = 2-4-6 }[/tex]

[tex]\mathbf{y = -8}[/tex]

Hence, the coordinate of the last vertex is (-2,-8)

Read more about coordinates at:

https://brainly.com/question/2254540

Answer:

x=11

m<a=80º

m<b=80º

Step-by-step explanation:

They are congruent so

8x-8=5x+25

8x=5x+33

3x=33

x=11

Answer:

Step-by-step explanation:

8x-8=5x+25

8x+5x=25--8

13x=33

x=2.5

x=3cm

Answer:

My answer is A. and I hope this'll help

Answer:

x=0.0278 or 1/36

Step-by-step explanation:

y=4

So,y=1/9x

4=1/9x

36x=1

x=1/36

x=0.0278

Answer:

35

Step-by-step explanation:

If she was 25, 10 years ago she has aged 10 years since she was 25 making her 35.

Step-by-step explanation:

[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]

Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:

Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

Learn more in https://brainly.com/question/25206811

Answer: [tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

Answer:

Answer:

smallest integer value of m=4

Step-by-step explanation:

Answer:

148 cm2

Step-by-step explanation:

5 * 4 * 2 = 40

6 * 5 * 2 = 60

6 * 4 * 2 = 48

40 + 60 + 48 = 148

Answer:

Step-by-step explanation:

T.S.A (TOTAL SURFACE AREA) OF CUBOID :

→ 2(lb + bh + lh)

( l = length, b = breadth , h = height )

→ Given :

• Length (l) = 6cm

• Breadth (b) or width = 4cm

• Height (h) = 5cm

Total Surface area of cuboid :

• 2( 6×4+ 4×5+ 5×6) cm²

• 2 ( 24 + 20 + 30 ) cm²

• 2 ( 74 ) cm²

• 148 cm²

Answer:

5300

Step-by-step explanation:

Round 4619 up to 5000.

Round 288 up to 300.

Add them together!

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

Hello Carousel!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]

To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..

[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Now, simplify it..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

{4, 5, 6, 7, 8, 9}

[tex]\{ x \ | \ 3 < x \leq 9 \}[/tex]

[tex]\{ x \ | \ 4 \leq x \leq 9 \}[/tex]

Step-by-step explanation:

See above.

Answer:

{ 4,5,6,7,8,9 }

{ x: 3 < x ≤ 9 }

Step-by-step explanation:

I hope the notations speak for themselves.

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

The equation of any (non-vertical) line can take the form

y = ax + b where a is the slope and b is the y intercept. We know that in this case, the y intercept is 2. So we can substitute b = 2:

[tex]y = ax + 2.[/tex]

Now, to find the x intercept, simply put y = 0 (since every point on the x axis has y = 0) and x = -1, since that is the given x intercept:

0 = -a + 2, so we see that a = 2. The equation is then:

y = 2x + 2

Step-by-step explanation:

y= -2x

that is the answer

The equation for a line is y = mx + b. where m is the slope and b is the y intercept.

The slope is -1/3 (rise: 1, run: -3)

And the y-intercept is at -4.

So the equation for the line is:

y = -1/3x - 4

And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:

y <= -1/3x - 4

“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.

y <= -1/3x - 4 is the answer

Answer:

the answer is 36....

because...

12*3=36

and also 4*9 =36

Any multiple of 12 is also a multiple of 4 true because Multiples of 4 can be found by multiplying 4 by another number. For example, 4×3=12.

A multiple is a result of multiplying a number by a whole number (it should not be a fraction). Multiples of an integer are obtained by subtracting the product of the decreasing numbers and the product of the whole numbers. For example, to find multiples of 6, we multiply 6 by 1, 6 by 2, 6 by 3, etc. The coefficients are the result of this multiplication. A number can have an infinite number of repetitions because multiples of a number are obtained by multiplying it by natural numbers. So we can write an infinite number of times for a given number. The table below shows the first 10 multiples of some numbers.

To learn more about multiple, refer;

https://brainly.com/question/24327271

#SPJ2

Answer:

Step-by-step explanation:

(4^29)

Answer:

m∠CAB = 40°

Step-by-step explanation:

DAC = 99

DAB = 59

B is inside DAC, and so is DAB. So CAB must add to 59 to get to 99, nothing over that because it's inside DAC.

So 99 - 59 = 40

CAB must be 40°

That's all I can say for now. Hope this helps and a thank won't hurt! :)

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

Step-by-step explanation:

[tex]\sqrt{18} = 3\sqrt{2}[/tex]

[tex]\sqrt{50}=5\sqrt{2}[/tex]

[tex]2\sqrt{8} = 4\sqrt{2}[/tex]

So [tex]3\sqrt{2} +5\sqrt{2} -4\sqrt{2}[/tex]

= [tex]4\sqrt{2}[/tex]

Please give me a brainliest answer

Answer:

10/5 ten fifths are in two

Step-by-step explanation:

10/5 = 2

Answer:

uhj hdctui nomar binary 34.89

Answer:

1. x=105

2. 12 cans for $4

3. 14

Step-by-step explanation:

1. 15/18 = x/126

126/18=7

x=15*7=105

2. 12 cans for $4.  36 for $11.50.  

36/3=12.  11.50/3=3.8333.  

12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.  

3. Circumference = pi*d.  Circumference = 43.96.  pi=3.14.  3.14*x=43.96.  x=diameter.  x=14.  diameter = 14

--Explanation to 3.14*x=43.96:

3.14*x=43.96, = 3.14x=43.96

3.14x*100 =43.96*100

314x=4396

314x/314 = 4396/314

x=14

Hello there!

y-y1=m(x-x1)

y-3=4(x-1)

And that's our equation in point-slope form. Hope it helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

1/5 is the slope and we can use (-4,0) as a starting point.