The length of a rectangular art canvas is 36 inches, and the width is 24 inches. What is the length of the diagonal of this frame?

2x+y= -5 is our equation and it passes through (4, -3)

point-slope formula= y-y1= m(x-x1)

fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.

y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.

y+3=1/2x-2 multiply x and -4 by 1/2

y=1/2x-5 subtract 3 from both sides.

Final answer: y=1/2x-5

Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)

Answer:

5x+9y

Step-by-step explanation:

Step-by-step explanation: Notice that 3x and 2x are like terms.

So we can combine them to get 5x.

Since 9y is the only y term, we leave it separate.

So our answer is 5x + 9y.

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

Answer:

Step-by-step explanation:

First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Answer:

The a value is 4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Given:

A line passes through the two points (3,5) and (-1,1).

To find:

The equation of the line in fully reduced point-slope form.

Solution:

If a line passes through two points, then the point slope form of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is

[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]

[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]

[tex]y-5=1(x-3)[/tex]

Therefore, the  point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.

Answer:

The answer is x+8.

Because you gotta factor out first and then cancel.

Answer:

x = 4.5

Step-by-step explanation:

First, we can subtract 2 from 20 (20 - 2) to get 18.

Now we know that x has to be multiplied by 4 and have a product of 18.

We can divide 18 by 4 to figure out what x is.

18 ÷ 4 = 4.5

We can check our answer by solving the equation:

4(4.5) + 2 = 20

18 + 2 = 20

20 = 20

(sorry if this is confusing but I hope it helped)

Answer:

I think it is 12

Step-by-step explanation:

Answer: 800 x 1.033^4 = 910.94 (result is rounded)

Step-by-step explanation:

Answer:

1,2,3,6

Step-by-step explanation:

The factors of 6 are the number that go into 6 evenly

1,2,3,6

Answer:

D just got it on edg

Step-by-step explanation:

Answer:

$86.8

Step-by-step explanation:

Step one:

Given data

At dinner, the meal cost $22 and a sales tax of $1.87

let us find what percent $1.87 to the cost of the meal

= 1.87/22*100

=0.085*100

=8.5%

Hence the sale tax is 8.5%

Step two:

if the cost is now $80

the sale tax will cost

=8.5/100*80

=0.085*80

=$6.8

The total will be

=80+6.8

=$86.8

Answer:

x=35

Step-by-step explanation:

Alright so an isosceles triangle is a triangles that has 2 angles that have the same value and those lines tell us which angles are the ones that are the same which would be angle Q and angle R. The lines are almost pointing at those angles. All of the angles will equal 180 so we set up an equation

180=2x + 40  because Q and R have the same value we multiply the 2x by 2

now we have 180=4x+40

step 1 subtract each side by 40

140=4x

step 2 divide each side by 4

35=x

Answer:

36

Step-by-step explanation:

0.36x100

You move the decimal over once to the left to get a whole number of 36

Answer:

b

Step-by-step explanation:

a + b + c - b = a + c

9514 1404 393

Answer:

  B)  Translation: 1 unit right and 1 unit up

Step-by-step explanation:

The points marked with a "prime" (X') are the ones that result from the transformation. Each of those is 1 unit up and 1 unit right of the corresponding "un-primed" point (X).

The transformation to get from preimage WXYZ to image W'X'Y'Z' is ...

  B) Translation: 1 unit right and 1 unit up

Answer:

ײ+x(x+1)(x+2)+(1+x)​ = x²+(x+1)³

Step-by-step explanation:

ײ+x(x+1)(x+2)+(1+x)​   ...look that: 1+x=(x+1)

=x²+x(x+1)(x+2)+(x+1)

=x²+(x+1)(x²+2x+1)

=x²+(x+1)³

Note that:

x²+2x+1=(x+1)*(x+1)​

Answer:

The numbers 3 and 8 and be multiply and get 24. They can also be added to get 11.

Answer:

The perimeter of a rectangle is: P = 2x+16

The area of a rectangle is: A = 6x+12.

Step-by-step explanation:

Given

The length of a rectangle = l = 6

The width of a rectangle = w = (x+2)

To determine

The perimeter of a rectangle = P

The area of a rectangle = A

Determining the Perimeter of a rectangle

The perimeter of a rectangle can be determined using the formula

P = 2(l+w)

substitute l = 6 and w = (x+2)

P = 2(6+x+2)

P = 2(8+x)

P = 2x+16

Therefore, the perimeter of a rectangle is: P = 2x+16

Determining the Area of a rectangle

The Area of a rectangle can be determined using the formula

A = lw

substitute l = 6 and w = (x+2)

A = (6)(x+2)

A = 6x+12

Therefore, the area of a rectangle is: A = 6x+12.

they both would have 24

they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x-1=8  Equation/Question

Step 2

3x-1=8  Simplify

3x-1=8

Step 3

3x-1=8  Add 1 to sides

3x=9

Step 4

3x=9  Divide sides by 3

answer

x=3

Hope this helps

117

Step-by-step explanation:

(x+3) is 13 because x is 10 so 10+3 is 13 and then 9 so 13×9 is 117

Answer:

y=9/2x+2

Step-by-step explanation:

Answer:

x=2/9y + -4/9

Step-by-step explanation:

Solve for x:

2y−9x=4

Add -2y to both sides:

−9x+2y+−2y=4+−2y

−9x=−2y+4

Divide both sides by -9:

−9x /−9 =−2y+4 /-9

Then your answer is:

x= 2 /9 y+ −4/ 9

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Hope I helped!

Good luck! :)