MATHEMATICS HIGH SCHOOL

Find the product mentally. (ab + 3)2

Answers

Answer 1
Answer: (ab+3)(2) =(ab+3)(2) =(ab)(2)+(3)(2) =2ab+6
Answer 2
Answer:

Answer:

a^2b^2 + 6ab + 9

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The sum of two numbers is 68. The larger number is 16 more than the smaller number. What are the numbers?

Answers

Answer:

x = 26

Step-by-step explanation:

68=x +(16+x) and if you plug in 26 it is 68

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line? Solve the system of equations. 2x + 3y = 6 x + y = 4

Answers

y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation



2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
-2x-2y=-8 +
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)

F(x)=(x^4-x^3-8x+8)/(x^3-2x^2-x+8)
simplifier f(x)

Answers

A suggestion: x^4-x^3-8x+8 = (x - 1)( x - 2)( x^2 +2x + 4);

x^4-x^3-8x+8 = (x - 1)( x - 2)( x^2 +2x + 4);

Step-by-step explanation:

Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .

Answers

2 isosceles triangles with congruent vertex angels. ;-))

Answer:

they are always similar because if the vertex of one is congruent to the vertex angle of another.

Step-by-step explanation:

let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.

In Salem, 82% of the households have cable television and Internet access and 90% of the houses have cable television. What is the probability that a house has Internet access given that it has cable television?A) 8%
B) 67%
C) 73%
D) 91%

Answers

The formula for conditional probability is:
P(A|B)=(P(A\cap B))/(P(B))
P(I|C)=(P(I\cap C))/(P(C))=(0.82)/(0.90)=0.91
The correct answer choice is therefore D) 91%

The answer is D. 91%

In the diagram , m Find m help pls

Answers

Answer:

119°

Step-by-step explanation:

90 + 29
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