Answered @ 19/08/2019 05:56 PM By answersmine
If y is a function of x, then the equation would be written as a "y =" equation, not an "x = " equation. This example is one where x is a function of y.
Answer: A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
i.e. It creates images of same shape but of different size.
A dilation stretches or shrinks a shape by using the scale factor and about the fixed center of the dilation.
Given : Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'.
Then Quadrilateral EFGH must be similar to E'F'G'H'.
It means sides of Quadrilateral EFGH must be proportional to sides of Quadrilateral E'F'G'H'.
Hence, the correct characteristic of dilation compares segment E'F' to segment EF is :
A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Multiply the first equation by 2
2(7x-2y) = 2 * -20
14x - 4y = -20
Add this to the second equation
14x - 4y = -40
23x = -46
Divide by 23
23x/23 = -46/23
x = -2
Now we solve for y
9(-2) +4y = -6
-18 + 4y = -6
Add 18 to each side
-18+18 +4y = -6+18
4y = 12
Divide by 4
4y/4 = 12/4
Given : The number of granola bars = 6
The number of pieces of dried fruit = 10
If the snack bags should be identical without any food left over, then the greatest number of snack bags Emily can make is the greatest common factor (GCF) of 6 and 10.
Since , factors of 6 = 1, 2, 3, 6
Factors of 10 = 1, 2, 5, 10
Hence, the greatest common factor of 6 and 10 = 2
Thus, the greatest number of snack bags Emily can make = 2.
It can be inferred that the shape of the monitor is a rectangle, in which the length of the monitor is 16 inches and the height of the monitor is 14 inches. The diagonals of the rectangle cut it into two congruent right-angled triangles. Therefore, to find the length of the diagonal of the monitor, use the Pythagoras Theorem. Since the base (b) is 16 inches and the perpendicular (p) is 14 inches, the distance of the hypotenuse (i.e. the diagonal, denoted by h) can be found by the following formula:
Plugging in the values:
Taking square root on both sides gives:
h = 21.26 inches (to the nearest 2 decimal places)
Therefore, the measure of the diagonal is 21.26 inches!!!
Equation of ellipse is of form where are the x-intercepts and are the y-intercepts . If then it is a horizontal ellipse and if then it is a vertical ellipse .
For horizontal axis ,
Here, are known as the vertices of ellipse and are the co-vertices of ellipse .
Horizontal axis is known as the major axis and vertical axis is known as the minor axis .
Here, x-intercepts are , take a = 5
y-intercepts are , take b = 3
As , it is a horizontal ellipse .
On putting a = 5 and b = 3 , we get equation as
Answer: a figure 4
Step-by-step explanation: all the shapes should be intersecting
is equivalent to
The given expression is :.
We collect LCM in both the numerator and the denominator to obtain:
Change to the normal division sign;
Multiply by the reciprocal of the second fraction:
Cancel out the common factors
Therefore is equivalent to
x = - 5, x = - 1
To find the x- intercepts let f(x) = 0, that is
x² + 6x + 5 = 0 ← in standard form
Consider the factors of the constant term (+ 5) which sum to give the coefficient of the x- term ( + 6)
The factors are + 5 and + 1, since
5 × 1 = 5 and 5 + 1 = + 6, hence
(x + 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5 ⇒ (- 5, 0 )
x + 1 = 0 ⇒ x = - 1 ⇒ (- 1, 0)
The value of 27, because it’s greater than 26.7 and less than 29.3.
You should find the confidence Interval at 95%
The formula to apply is;
where C.I is the confidence interval, x is the mean of the sample, z is the z* value from the standard normal distribution for 95% confidence interval, δ is the standard deviation and n is the sample size
Substitute values in the formula
Upper limit is = 28+1.2652=29.2625
Lower limit is =28-1.2652=26.7348
The value 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3