Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
Hello,
Let's assume v=the normal bicycling speed with no wind
and t the same amount of time...
60=(v+2)*t (1)
48=(v-2)*t (2)
(1)/(2)==>60/48=(v+2)/(v-2)
==>5(v-2)=4(v+2)
==>5v-4v=8+10
==>v=18 (mi/h)
<h3>Supplementary Angles:</h3>
Angles which adds up to 180°.
<h3>Given:</h3>
A = 2x + 8
B = 2x + 8
<h3>To Find:</h3>
The measurement of B.
<h3>Solution:</h3>
A + B = 180°
or, 2x + 8 + 2x + 8 = 180°
or, 4x + 16 = 180°
or, 4x = 180 - 16 = 164°
or, x = 164/4 = 41°
<h2>Answer:</h2>
B = 2x + 8 = 2(41) + 8 = 82 + 8 = 90°
<u>B</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>°</u>
Let us solve the inequality first
Dividing through by 2 gives
Grouping like terms gives
This implies that;
This corresponds to option A in words
If we rewrite as
it will correspond to option C in words
Representing on diagram corresponds to option D (See attachment)
All are correct ways to represent the solution except B.
The correct answer is option B
Answer:
Step-by-step explanation:
If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.
