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SVETLANKA909090 [29]
2 years ago
12

Perfect square trinomial: (a – b)2 = (a – b)(a – b) = a2 – 2ab + b2 Find the product of (k – 9)2 using the perfect square trinom

ial rule shown on the left. The product (k – 9)2 can also be written as
Mathematics
1 answer:
Lapatulllka [165]2 years ago
6 0
K^2 - 2(9)k + 9^2

Or 

k^2 - 18k + 81

Just sub in k for a and 9 for b. 
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Frank has x baseball cards in his collection. He gets 45 more for his birthday. Write an expression to show the number of baseba
jasenka [17]

Answer:

Frank has X+45 baseball cards

Step-by-step explanation:

You just add 45 new baseball cards to the ones he had before which is X

5 0
2 years ago
Read 2 more answers
the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?
pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0
2 years ago
Why is a parallelogram not the same type of quadrilateral as a trapezoid?
Liula [17]
A parallelogram has two pairs of opposite sides. A trapezoid only has one pair of parallel sides.
4 0
3 years ago
A. When solving the system of linear equations 6x+y = 1 and 7x+2y = -3 with substitution, it is easiest to first solve the equat
nalin [4]

Answer:

6x + y = 1

y = 1 - 6x

7x + 2(1 - 6x) = -3 substitute 1 - 6x in for y

7x + 2 - 12x = -3 combine like terms

2 - 5x = -3 subtract 2 from both sides

-5x = -5 divide by -5

x = 1

3 0
3 years ago
Think about the function f(x) = 3 - 2x. What does the notation f(0) mean? f(0) = What is the special name of f(0)?
mel-nik [20]

Notation f(0) means the graph crosses y-axis where x becomes zero

or simply y-intercept


f(x) = 3 - 2x

put x = 0

f(0) = 3 - 2(0)

f(0) = 3 - 0

f(0) = 3


Special name of f(0) : <em>y-intercept</em>

7 0
3 years ago
Read 2 more answers
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