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3 years ago

11

jim is twice as old as his sister. the sum of their ages is less than 43 what is the greatest age jim's sister can be? round to

the nearest whole number

1 answer:

Natalka [10]3 years ago

4 0

Answer:

21 thats the youngest she could be

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What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)

sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

= (x+5)^2 -34

= (x - -5)^2 -34

This is in the form (x-h)^2 +k

The vertex is (h,k) h=-5 and k=-34

(-5,-34)

4 0

2 years ago

Read 2 more answers

If y varies inversely as X and Y equals 5 when x equals 3 find X when Y is 15

omeli [17]

Answer:

x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 5 when x = 3

k = yx = 5 × 3 = 15, thus

y = $\frac{15}{x}$ ← equation of variation

When y = 15 then

15 = $\frac{15}{x}$ ( multiply both sides by x )

15x = 15 ( divide both sides by 15 )

x = 1

5 0

3 years ago

I need help with geometry semester b on Edmentum anybody have answer keys ??

nikklg [1K]

Answer:

I do not have answer keys

Step-by-step explanation:

But i can be of greater help with your questions

6 0

2 years ago

Which statement best describes parallel lines?

Margaret [11]

Answer:

Step-by-step explanation:

Parallel lines have identical slopes and different y intercepts.

y = 3x + 2

y = 3x + 9

These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)

7 0

2 years ago

The size of a TV is measured by its diagonal. You want to buy a TV that has a 32

ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

$a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{777.51}\\b=27.88$

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

#LearnwithBrainly

7 0

3 years ago