Answer:
a. Equation is 3x - 2y = 0
b. x = 6 and y = 9
Step-by-step explanation:
a.
Given that
The Weight of the square is y
And, the weight of the triangle is x
Now the equation according to the attached diagram is
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
b.
Now if x = 6
So, y would be
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
We simply applied the above equation so that the correct value could come
And, the same is to be considered
The equation x + y = x + y represents the hanger with the weights of the triangle and square. When x is 6, y can be any value.
The question asks for an equation to represent the hanger with the weights of the triangle and square. Since the weight of the triangle is represented by x and the weight of the square is represented by y, the equation can be written as x + y = x + y. This equation shows that the sum of the weights on each side of the hanger is equal.
To find the value of y when x is 6, we can substitute the value of x into the equation. x + y = 6 + y. By subtracting y from both sides, we get x = 6. Therefore, when x is 6, y can be any value since it cancels out from both sides of the equation.
#SPJ11
Answer:
4 meters
Step-by-step explanation:
Consider triangle QRS. In this triangle, point A is the midpoint of side QS and point B is the midpoint of side RS.
If point A is the midpoint of QS, then by the definition of midpoint,
Since QA is 4 meters long, then AS is 4 meters long too.
Answer:
4 meters
Step-by-step explanation:
i just took the quiz
B. .1
C. 10
D. 1
If you want to draw a table, you need to give values to the X and resolve the equation to find Y.
For example with y=-3x+5
X=0
Y= -3 x 0 + 5
Y= 5
X=1
Y = -3x1 + 5
Y=2
X=2
Y= -3 x 2 + 5
Y= -1
Whe you have some numbers, draw an X Y axis and you can graphic it.
Answer:
24
Step-by-step explanation:
From the table given, at Mimi's Bakery, 1 X-Large sheet cake size will give us a number of servings of 120.
To find out how many X-Large cake size the school should order, simply divide the number of expected expected guests by the number of servings the X-Large cake will do.
Given that the score is expecting 2,889 guests, the school should order for:
2,889 ÷ 120 = 24.075 X-Large cakes.
Let's just say, an estimated 24 X-Large size cake should be ordered.
To determine the number of X-large sheet cakes the school should order, divide the total number of guests by the number of servings per cake and round up to the nearest whole number.
To determine how many X-large sheet cakes the school should order for 2,889 guests, we need to consult the table provided. The table shows the number of servings for different size cakes. Let's look at the X-large sheet cake row to find out how many servings it provides.
According to the table, the X-large sheet cake serves 64 people. To find out the number of X-large sheet cakes needed for 2,889 guests, we divide the total number of guests by the number of servings per cake:
Total number of guests / Number of servings per X-large sheet cake = Number of X-large sheet cakes needed
Using this formula, we have: 2,889 guests / 64 servings per X-large sheet cake = 45.14 X-large sheet cakes. Since we can't have a fraction of a cake, we round up to 46 X-large sheet cakes. Therefore, the school should order 46 X-large sheet cakes for the high school graduation.
#SPJ3
Answer:
(4, 5)
Step-by-step explanation:
Dilation by factor d about point (a, b) effects the transformation ...
(x, y) ⇒ d((x, y) -(a, b)) +(a, b)
⇒ (d(x-a) +a, d(y-b) +b)
(x, y) ⇒ (dx +a(1-d), dy +b(1-d))
We have (x, y) = (3, 4) and (a, b) = (1, 2) and d=3/2. Filling in these numbers, we get ...
(3, 4) ⇒ ((3/2)(3)+1(1-3/2), (3/2)(4)+2(1-3/2)) = (9/2 -1/2, 6 -1) = (4, 5)
Point E' is (4, 5).
_____
If you look at the graph, you realize that E is (2, 2) from (1, 2). Dilation by a factor of 3/2 moves it to (3/2)(2, 2) = (3, 3) from (1, 2). So ...
E' = (3+1, 3+2)
E' = (4, 5)
The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.
Find the vertex of the parabola given by the formula :
1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.
2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.
3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.
4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.
5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.
It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.
The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).
In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:
Learn more about the Graph of a Function at: