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Vladimir79 [104]

3 years ago

15

Louis started a table showing a multiplication patterns complete the table describe a pattern you see in the products

1 answer:

kvasek [131]3 years ago

8 0

One pattern that you can see in a multiplication table is the perfect square numbers. It runs from the top left hand corner directly through the middle to the bottom right hand corner. A perfect square is a number that is multiplied by itself. The perfect square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. They keep going forever on but those are the main ones from 1x1 to 12x12.

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Find the y intercepts of 3x^2+24x-51. quadratic formula

julia-pushkina [17]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

$y=3*0^2+24*0-51\\y=0+0-51\\y=-51$

<u>Your y-intercept is (0,-51).</u>

Next, using our equation plug the appropriate values into the quadratic formula:

$x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}$

Next, solve the multiplications and exponent:

$x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}$

Next, solve the addition:

$x=\frac{-24\pm \sqrt{1224}}{6}$

Now, simplify the radical using the product rule of radicals as such:

Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

$x=\frac{-24\pm 6\sqrt{34}}{6}$

Next, divide:

$x=-4\pm \sqrt{34}$

<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

$x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83$

<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>

5 0

3 years ago

Kol and Kara solve this problem in two different ways the perimeter of a rectangle is 46 centimeters it’s length is 8 centimeter

JulsSmile [24]

Answer:

15cm

Step-by-step explanation:

because length is given as 8 cm and perimeter is length+width+length+width

so if you take 8cmX2 since its taken twice to get the perimeter and 15cmX2 you get 46cm which originally the question said was the peemiter

5 0

2 years ago

Read 2 more answers

When calculating how much you saved, you have to

kolezko [41]

Add your savings amount together to get the total

3 0

3 years ago

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What is the value of x in the equation x – y = 30, when y = 15?

MrMuchimi

<span>x+y=30.....(1) and x-y=2......(2) so(1)+(2)......x+y+x-y=30+2 so 2x=32...x=16 now apply x=16 in (1) so we get......16+y=30 so .......y=14</span>

7 0

3 years ago

Read 2 more answers

Find the missing side length of the right triangle. show work.

motikmotik

Answer:

6.32

Step-by-step explanation:

To find the side length on a right angled triangle we follow The Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)

so..

${6}^{2} + {2}^{2} = {x}^{2} \\ 36 + 4 = {x}^{2} \\ 40 = {x}^{2} \\ \sqrt{40} = \sqrt{ {x}^{2} } \\$

$6.32 = x$

8 0

2 years ago

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