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Nataly_w [17]
3 years ago
9

What is the equation of a line passing through the point (a, b) and having a slope of b?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0
The general form of slope-point form of the equation of line is

y-y1 = m (x-x1)

here, x1, y1 = a,b
m = b

so,
y-b = b(x-a)

thats it!

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Three of the choices are ways to express 0.50. Which is NOT?
Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}

\frac{50}{100} means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying \frac{50}{100} we can write,

\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}

\frac{1}{2} means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

\frac{5}{100} = 0.05

Therefore option B is wrong

5 0
3 years ago
2x+2y=8<br> X+y=4<br> Which statement is true about the solution
laila [671]
Both x and y equal 2.

2•2=4 + 2•2=4

4+4=8

2+2=4
6 0
3 years ago
the derivative of the function f is given by f'(x)=x^2cos(x^2). How many points of inflection does the graph of f have on the op
Vsevolod [243]
The point of inflection is calculated by equating the second derivative to zero and determining x from there.

f"(x) = -x²2xsinx² + cosx²(2x) = 0

2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0

2x = 0   ⇒  x = 0
cosx² - xsinx² = 0   ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)

Thus, the function only has 1 point of inflection and it is at x = 0.
5 0
3 years ago
Find the sum of the arithmetic series in which a1 = –68, d = –3, and n = 20.
harkovskaia [24]

Step-by-step explanation:

Sum of 20 terms in thr arithmetic sequence adds up to -1930

6 0
3 years ago
A school bought 32 new desks each desk coast 24$ estimate how much the school spent on the new desks
mezya [45]
You would solve this with multiplication. If each desk costs $24 and they bought 32 desks then to find out to total cost of all the desks you would multiply 24x32 
5 0
3 years ago
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