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Marat540 [252]
3 years ago
8

Extra points!!no links tho

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

<h3>              a. the  vertex represents a minimum point</h3><h3>              b.  f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5

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9(n+3)=7n-3

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8 0
3 years ago
Read 2 more answers
6. The vertices of ALMN are L(7,4), M(7,16), and
max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units

Length LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units

LengthMN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

4 0
3 years ago
the breadth of a rectangular painting is 65 cm. its length is 137 cm more than its breadth. what is the area of the painting?​
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Answer:

8,905cm²

Step-by-step explanation:

Area= Length × Breadth

=137cm × 65cm

= 8,905cm²

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Answer:

y=4x -9

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y intercept- where the line crosses the y-axis (-9)

Rise over run- 4

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