Answer: a Line going up and down
Step-by-step explanation:
Answer:
42.5
Step-by-step explanation:
x 15
_ _
85 100
15x85=1275
1275/100=127.5
127.5-85=42.5
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
Answer:
<em>213,645.6cm³ </em>
Step-by-step explanation:
Area of a cylinder is expressed as;
V = πr²h
r is the radius = 2cm
h is the height = 70cm
Get the volume of one rod;
V = πr²h
V = (3.14)(2)²(70)
V = (3.14)(4)(70)
V = 879.2cm³
one steel = 879.2cm³
243 rods = x
Cross multiply;
x = 879.2 * 243
<em>x = 213,645.6</em>
<em>The company will need 213,645.6cm³ volume of steel to make 243 rods</em>
The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).
<h3>How to determine the equivalent expression</h3>
We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;
Given: -5x - 15 + 25x - 30
we group like terms together
25x - 5x - 15 - 30
20x - 45
the number 5 is a common factor of 20x and 45, so we have that;
5 × 4x - 5 × 9
by factoring out 5
5(4x - 9)
also;
5(4x - 9) = -5(-4x + 9)
Therefore, -5(-4x + 9) is an equivalent expression to the algebraic expression -5x - 15 + 25x - 30
Learn more about equivalent expression here: brainly.com/question/24734894
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