MATHEMATICS HIGH SCHOOL

Use the rule y = -x + 7 to fill in the blank
if (1, y) is on the graph, then y =
​

Answers

Answer 1
Answer:

Answer:Y=6

Step-by-step explanation:

Y=-x+7

For -x put 1 for the -x

So y=-1+7

Y=6

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Which is another way to check the sum of 104+34+228+877?

Answers

The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of 104+34+228+877:
104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = 1

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = 1

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of 104 + 34 + 228 + 877 is really 1243.

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

Answers

This answer uses NMF for which, if needed, the syntax can be found in my profile. Please ignore the LaTeX (the image), I cannot remove it/change it, and it is incorrect. The answer is: f(x)={π{{x}^{2}}/{4}+x(16-{πx}/{2}-x)}/{2}

Final answer:

The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.

Explanation:

A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).

From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.

Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.

Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.

Learn more about Function of Window Area here:

brainly.com/question/32386293

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Good luck to:CorStie eer, YGood luck to:CwyShe ee Y ar)34GGood luck to: Cerchie eeラー 5-13-Period:00Date :-sCircles Test1. Identify all tangents for circle O. (1 point) ,2, Define a chord of a circle. (1 pointHFAGOCBDE

Answers

CDE is the only tangent to circle O.
A chord is a straight line segment that connects two points on the circle. The longest chords are the ones that go through the center of the circle. Those are called diameters.

How to solve 9x+5=28
-3x-10y=-26 by Elimination

Answers

so elimination
I assume that you meant to write
9x+5y=28 and not 9x+5=28
so

elimination is basically eliminating values

9x+5y=28
-3x-10y=-26
we can either cancel out the x terms or the y terms, I will cancel out the y terms

9x+5y=28
multipy both sides by 2
18x+10y=56
add to other equation


18x+10y=56
-3x-10y=-26  +
15x+0y=30
15x=30
divide both sides by 15
x=2

subsitute

9x+5y=28
9(2)+5y=28
18+5y=28
subtract 10 from both sides
5y=10
divide both sides by 5
y=2


x=2
y=2
9x + 5 = 28
      - 5   - 5
      9x = 23
       9      9
        x = 2⁵/₉

-3(2⁵/₉) - 10y = -26
    -7²/₃ - 10y = -26
  + 7²/₃             + 7²/₃
            -10y = -18¹/₃
             -10      -10
                 y = 1⁵/₆
           (x, y) = (2⁵/₉, 1⁵/₆)

2x + 3y = 15
x + y = 6

Answers

Answer:

y=3

x=3

Step-by-step explanation:

2x +3y=15

2x-2y=-12

y=3

x=3

3/8 x 8/9=

A:21/72

B:11/17

C:1/3

D:12/17

Answers

The answer is C because of you multiply 1/3 x 24 then you’ll get 24/72 which is the answer
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