Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Answer:
186 cm²
Step-by-step explanation:
<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>
<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>
<u>Left rectangle:</u>
A = lh
A = 12 (8)
A = 96 cm²
<u>Right rectangle:</u>
A = lh
A = 10 (9)
A = 90 cm²
<u>Total:</u>
A = 90 + 96
A = 186 cm²
Step-by-step explanation:
since
25⁰= 1 minute
x⁰ = 11 minutes
cross multiply
25 x 11= x
x= 275⁰
temperature after being turned on=275⁰
temperature after 11 minutes= 275⁰ + 75⁰= 350⁰
temperature(x) after being turned on
25tt=x
temperature (x) after minutes
x= 25tt + 75⁰
Answer:
The dilation is an enlargement
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate
Let
z------> the scale factor
so
substitute the values
The scale factor is greater than 1
therefore
The dilation is an enlargement
