The value of the function f(x)=3(4-x) when x=7 is -9. This is calculated by substituting x=7 into the function and simplifying.
To find the value of the function f(x)=3(4-x) when x=7, you should insert x's value into the equation. Therefore, the function takes the form: f(7)=3(4-7). Then you simplify it to: f(7)=3(-3) and further simplification gives: f(7)=-9.
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Answer:
284 square cm.
Step-by-step explanation:
To calculate the total surface area (TSA) of the triangular prism formed by an isosceles triangle and a rectangle, you need to find the surface areas of both the triangular faces and the three rectangular faces and then add them together.
1. **Triangular Faces**:
You have an isosceles triangle with a base of 6 cm and a height of 4 cm. The total area of both triangular faces can be calculated using the formula for the area of a triangle:
Area of one triangular face = (1/2) * base * height
Area of one triangular face = (1/2) * 6 cm * 4 cm = 12 square cm
Since there are two identical triangular faces, the total area of both triangular faces is 2 * 12 square cm = 24 square cm.
2. **Rectangular Faces**:
You have a rectangular prism with dimensions 10 cm x 10 cm x 6 cm. There are three rectangular faces.
- The two rectangular faces with dimensions 10 cm x 10 cm have an area of 100 square cm each.
- The third rectangular face with dimensions 6 cm x 10 cm has an area of 60 square cm.
The total area of all three rectangular faces is 2 * 100 square cm + 60 square cm = 260 square cm.
3. **Total Surface Area (TSA)**:
Now, you can calculate the TSA of the triangular prism by adding the areas of the triangular faces and the areas of the rectangular faces:
TSA = Area of Triangular Faces + Area of Rectangular Faces
TSA = 24 square cm + 260 square cm = 284 square cm
So, the total surface area of the triangular prism is 284 square cm.
5x+6y=−11
5x=2y−3
The required solution of the simultaneous equation is x = -1 and y = -1.
Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1
Thus, The required solution of the simultaneous equation is x = -1 and y = -1.
Learn more about simultaneous equations here:
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Answer:
y= -1, x= -1
5x+6y=-11
-(5x-2y=-3)
8y=-8
y=-8/8
y= -1
5x+6(-1)=-11
5x-6 = -11
5x=-11+6
5x=-5
x=-5/5
x=-1
2. multiply to 36 add to -13
3. multiply to -24 add to -5
4. multiply to -18 add to 7
5. multiply to -36 add to 9
6. multiply to 24 add to 10
7. multiply to 18 add to -9
8. multiply to -36 add to -16
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The answer is true...
O 8
O 14
0.16
Answer:
2
Step-by-step explanation:
Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can
do 8-6=2.