Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
Answer:
See missing answers bold
$20 original = $5 final paid as $15 was s/p before -10 was added
$30 original = $14 final price as $24 was s/p before -10 was added
$60 original = $35 final price as $45 was s/p before -10 was added
$92 original = $69 final price as $59 was s/p before -10 was added
Step-by-step explanation:
Ans in bold
A) = f(x) = 20(0.75) -10 = 15 - 10 = $5 = £5 final paid
B)= f(x) 30 (0.75) = 24 - 10 = 14 = $30 original price
C) = f(x) = 60(0.75) -10 = 45 -10 = $35 = $35 final price
D) = f(x) = 92 (75) = 69 -10 = $59 = $92 original price
D. <span>Colby and Sarah sold newspapers this past summer. Colby earned $4.50 for each newspaper he sold. Sarah's earnings were $35 less than Colby's at the end of the summer. The following expression shows Sarah's earnings:
4.50y − 35</span>