The evaluation of the expression (-3)² is incorrect the correct answer will be (-3)²=+9.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
Here we have an expression in the question:-
= (-3)² = (-3 x -3 ) = 9
So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.
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Answer:
Julian has <em>16 dimes</em> and <em>6 quarters</em>
Step-by-step explanation:
Let's suppose Julian has q quarters and d dimes
The total coins are 22, that is
q+d=22
q=22-d [1]
The total amount of money he has is 310 cents which are made of 10d dimes and 25q quarters
10d+25q=310
Simplifying by 5
2d+5q=62
Using the relation [1]
2d+5(22-d)=62
2d+110-5d=62
3d=48 => d=16
q=22-16 = 6
So Julian has 16 dimes and 6 quarters
Answer:
x = 
Step-by-step explanation:
Given a quadratic in standard form, ax² + bx + c : a ≠ 0
Then the axis of symmetry is a vertical line with equation x = h
where h is the x- coordinate of the vertex.
The x- coordinate of the vertex is
= - 
f(x) = 5x² - 3x + 5 ← is in standard form
with a = 5 and b = - 3, thus
= - 
=
Thus the equation of the axis of symmetry is x =
Answer:
(b) 21.4
Step-by-step explanation:
There are a couple of interesting relations regarding chords and secants and tangents of a circle. With the right point of view, they can be viewed as variations of the same relation, possibly making them easier to remember.
When chords cross inside a circle (as here), each divides the other into two parts. The product of the lengths of the two parts of one chord is the same as the product of the lengths of the two parts of the other chord.
Here, that means ...
7x = 10·15
x = 150/7 = 21 3/7 ≈ 21.4
_____
<em>Additional comment</em>
A secant is a line that intersects a circle in two places. (A tangent is a special case of secant where the two points of intersection are the same point.) When two secants meet outside the circle, there is a special relation between the lengths of the various line segments.
Consider the line segment from the point where the secants meet each other to the far intersection point with the circle. The product of that length and the length to the near intersection point with the circle is the same for both secants.
Here's the viewpoint that merges these two relations:
<em>The product of the lengths from the point of intersection of the lines with each other to the two points of intersection with the circle is the same for each line</em>.
(Note that when the "secant" is a tangent, that product is the square of the distance from the tangent point to the point of intersection with the other line--the distance to the circle multiplied by itself.)
