Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 10x = 39

Answers

Answer 1

Answer: $x^2-10x=39\n\nx^2-2\cdot x\cdot5=39\ \ \ \ /+5^2\n\n\underbrace{x^2-2\cdot x\cdot5+5^2}_((*))=39+5^2\n\n(x-5)^2=39+25\n\n(x-5)^2=64\iff x-5=\pm√(64)\n\nx-5=-8\ or\ x-5=8\n\nx=-8+5\ or\ x=8+5\n\nx=-3\ or\ x=13$

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11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =

Answers

Answer: ( -8)+(6)= 14

(-3)+8 = 11

12+(-13) = 25

-14-16= -30

6+(41) =47

Mary has saved $17.50 in the past 3 weeks. At this rate how much will she save in 15 weeks

Answers

Answer:

$87.50

Step-by-step explanation:

With this amount of detail we can see that she has saved 17.5 in 3 weeks. We need to find how much in 15 weeks so we...

15/3=5

17.5*5=87.50

Which tables contain correct pairs of input and output values for the function ? Select all the correct answers. Input (x) -1.6 0.4 2.2 3.7 Output f(x) -5.5 2.5 6.75 10.75 Input (x) -2.7 -1.3 0.8 4.4 Output f(x) -5.25 -1.75 3.5 12.5 Input (x) 1.1 2.4 5.3 6.9 Output f(x) 4.25 7.5 11.75 17.25 Input (x) -2.1 0.9 1.7 3.3 Output f(x) -3.75 3.75 5.75 9.75 Input (x) 2.4 3.5 4.6 5.0 Output f(x) 7.5 10.5 12.5 14

Answers

The right answer for the question that is being asked and shown above is that:
Input (x) -1.6 0.4 2.2 3.7
Output f(x) -5.5 2.5 6.75 10.75

Input (x) 1.1 2.4 5.3 6.9
Output f(x) 4.25 7.5 11.75 17.25

Input (x) 2.4 3.5 4.6 5.0
Output f(x) 7.5 10.5 12.5 14

Answer:

A,C and E

Step-by-step explanation:

i just took the plato test

Solve question in photo. Mathematics help please

Answers

to sub, solve for 1 variable
solve for y

14-4x=2y
divide by 2
7-2x=y
sub 7-2x for y

(7-2x)+2x=7
7-2x+2x=7
7=7
true
answer is infinite olutions since everybody cancled out

5 t-shirts and a hat costs £27.00 2 t-shirts and a hat costs £12.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

£2

Step-by-step explanation:

Let T represent T-shirt and H represent hat

5T + H = £27.00

2T + H = £12.00 Subtract two equation

5T + H - 2T - H = £27 - £12 ➡ 3T = £15 and T = £5 this is the cost for a t-shirt

If a t-shirt costs £5 and 2 t-shirt + a hat costs £12 then a hat costs £2

Let say that t-shirt is X and hat is Y
We get: 5X+Y=27.00
2X+Y=12.00
solve for X in the first equation
5X+Y= 27
5X=27-Y
X=27-Y/5
Replace X= 27-Y/5 in equation 1 or 2
I use equation 2:
2*27-Y/5+Y=12
54-2Y/5+Y=12
make the denominator equal
54-2Y/5+5Y/5=12
54+3Y/5=12
Multiply 5 both side
54+3Y = 60
3Y = 60-54
3Y= 6
Y=6/3
Y=2
Replace Y= 2 in equation 1 or 2
I use 2:
2X+2=12
2X=10
X=5
Thus the answer is T-shirt cost : £5 and hat cost : £2

The center of circle (x-7)^2+(y-2)^2=100 is (-7,-2) . TRUE OR FALSE ?!

Answers

The answer would be false because the formula for a circle is:

(x-h)^2+(y-k)^2=r^2

Some people use (h, k) as the center or (a, b). It does not make a difference. Since the formula subtracts, you must flip the sign to find the circle. The real center is (7, 2)

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