Answer:
27.2 mm²
Step-by-step explanation:
Area of the triangle = ½*base*height
base = 8 mm
height = 6.8 mm
Area = ½*8*6.8
= 4*6.8
= 27.2 mm²
For the first table, the y-values are not equally spaced and the ratios of y are not the same, but by plotting them and observing the graph that results, it looks like the points lie on an exponential curve. The second table is linear because when x changes by 1, y changes by 4. The third table is a quadratic model because even if the first differences of y are not the same, the second differences of y have the same value of 8. The fourth table is exponential because the ratio of y-values is 2, which is the same between each set of numbers.
Answer:
The extraneous solution is 4.
Step-by-step explanation:
First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:
-5 = 3x - 7
Collect like terms
-5 + 7 = 3x
2 = 3x
Divide both side by 3
x = 2/3.
Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:
(-5)^2 = (3x - 7)^2
25 = (3x - 7)(3x - 7)
25 = 9x^2 - 21x - 21x + 49
9x^2 - 42x + 49 - 25 = 0
9x^2 - 42x + 24 = 0
Solving by factorisation:
Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.
Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x
Now we can write the above equation as:
9x^2 - 42x + 24 = 0
9x^2 - 6x - 36x + 24 = 0
3x(3x - 2) - 12(3x - 2) = 0
(3x - 12)(3x - 2) = 0
3x - 12 = 0 or 3x - 2 = 0
3x = 12 or 3x = 2
x = 12/3 or x = 2/3
x = 4 or 2/3.
We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.
Therefore, the extraneous solution to the question is 4.
Answer:
y = -9.3
if they are complementary it is 45 degrees
if they are supplementary it is 90 degrees
Step-by-step explanation:
-12.7 = y -3.4
-12.7 + 3.4 = y -3.4 + 3.4
-9.3 = y
complementary angles equal to 90 degrees
supplementary angles equal to 180 degrees
vertical angles have same degrees
so 90/2= 45
180/2 =90
The required simplified value of the x is given as 5.
Given that,
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35
Thus, the required simplified value of the x is given as 5.
Learn more about simplification here:
brainly.com/question/12501526
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