The total number of yards is 360 yards
<h3>How to determine the number of yards?</h3>
The given parameters are:
Number of sheets = 8
Yard per sheet = 45 yards
The total number of yards is calculated as:
Total number of yards = Number of sheets * Yard per sheet
Substitute the known values in the above equation
Total number of yards = 8 * 45 yards
Evaluate the product
Total number of yards = 360 yards
Hence, the total number of yards is 360 yards
Read more about unit rates at:
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Answer:
x= 76, y = 63 z, 104
Step-by-step explanation:
We can find x since the three angles of a triangle add to 180 degrees
46+58+x = 180
104+x =180
Subtract 104 from each side
x = 180-104
x = 76
x and z form a straight line
x+z =180
76+ z = 180
Subtract 76 from each side
z = 180-76
z = 104
Z, 13 and y make a triangle
z+ 13 +y = 180
104+13+y = 180
117+y=180
Subtract 117 from each side
y = 180-117
y = 63
<h3>Answer:</h3>
x = 2
<h3>Explanation:</h3>
The rule for secants is that the product of segment lengths (on the same line) from the point of intersection to the points on the circle is a constant for any given point of intersection. Here, that means ...
... 3×(3+5) = 4×(4+x)
... 6 = 4+x . . . . divide by 4
... 2 = x . . . . . . subtract 4
_____
<em>Comment on this secant relationship</em>
Expressed in this way, the relationship is true whether the point of intersection is inside the circle or outside.
Answer:
Step-by-step explanation:
F(x)=-x+5
So
f(-4)= -(-4)+5
f(-4)= 4+5
f(-4)= 8
Only we have to substitute value of x then after simplification we will get answer..Hope this will help
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
