Answer:
<u>Given function:</u>
a)
<u>Th x-intercept found when g(x) = 0</u>
<u>Solve the equation to find the values of x:</u>
- x² - 6x + 2 = 0
- x² - 6x + 9 = 7
- (x - 3)² = 7
- x - 3 = ±√7
- x = 3 ± √7
The x-intercepts are (3 + √7, 0) and (3 - √7, 0)
b)
<u>Solve as above:</u>
- x² - 6x + 10 = 0
- x² - 6x + 9 + 1 = 0
- (x - 3)² = -1
The left side is a square of a number which is always positive, the right side is negative.
It means there is no solution, so no-x-intercepts.
The graph of the function lies above the x-axis.
The full exercise is attached.
Since JKLM is the result of the rigid motion of ABCD, the two quadrilaterals are congruent, especially their angles.
Therefore:
∡A = ∡J = 82°
∡B = ∡K = 104°
∡C = ∡L = 121°
∡D = ∡M = ?
Recall that the sum of the measure of the angles of a quadrilateral is 360°, and you will find:
∡M = 360 - (∡J + ∡K + ∡L)
= 360 - (82 + 104 + 121)
= 53
Hence, ∠M is
53°.
<em>Answer:
</em>
<em>Elena's running speed is 5 miles/hour
</em>
<em>Explanation:
</em>
<em>The speed is defined as the covered distance per unit time
</em>
<em>In the problem, we have:
</em>
<em>The distance covered is the length (circumference) of the circular track which is given as of a mile.
</em>
<em>We are also given that she completes each lap (she completes of a mile) in of an hour
</em>
<em>
</em>
<em>To get her speed, we will divide the distance covered by the time taken to cover this distance
</em>
<em>This is done as follows:
</em>
<em>speed = miles/hour
</em>
<em>This means that:
</em>
<em>Elena can run 5 miles each hour</em>
By shesney <3
#1 is A & B (points connect)
#2 is A & B & D (because they all touch)
#3 I don't know
#4 I think it's G, C, & F
#5 D
You can use simultaneous linear equations in two variables to solve this word problem.
Let Juwan's age be
and Christy's age be
Let us sum their ages and equate it to 92
Ten years ago, Juwan's age was
and Christy's age was
By then Juwan's age was 3 times Christy's age
Expand and simplify,
Put equation (2) in equation (1)
Juwan is 64 now