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SVETLANKA909090 [29]
4 years ago
8

If AB = 2x–8 and AC = x+9, What is the length of BC?

Mathematics
2 answers:
Virty [35]4 years ago
4 0

Answer:

17

Step-by-step explanation:

2x-8=x+9

x=17

scZoUnD [109]4 years ago
3 0

ANSWER

BC=17 units

EXPLANATION

The given triangle is an isosceles triangle.

We have

AC=AB

This implies that,

x + 9 = 2x - 8

Group similar terms and simplify to get:

2x - x = 9 + 8

x = 17

Side BC is x units. But x=17

Therefore BC is 17 units.

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Q14
posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0
3 years ago
Write the quadratic function in vertex form. Then identify the vertex.
ddd [48]

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

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