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3 years ago

We want to factor the following expre

Mathematics

1 answer:

mote1985 [20]3 years ago

8 0

Step-by-step explanation:

$(x - 3)^{2} - 10(x - 3) + 25 \\ = (x - 3)^{2} - 5(x - 3) - 5(x - 3)+ 25 \\ = (x - 3) \{(x - 3) - 5 \} - 5 \{(x - 3) - 5 \} \\ = \{(x - 3) - 5 \} \{(x - 3) - 5 \} \\ = (x - 8)(x - 8) \\ \\ another \: way \\ \\ (x - 3)^{2} - 10(x - 3) + 25 \\ = (x - 3)^{2} - 2 \times 5 \times (x - 3) + {5}^{2} \\ = \{(x - 3) - 5 \}^{2} \\ = \{x - 3 - 5 \}^{2} \\ = \{x - 8 \}^{2} \\ = (x - 8)(x - 8)$

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Mark wants to find the area of a circle with a diameter of 6 cm. Which expressions can he use to find the area of the circle in

ANEK [815]

Answer:

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2 years ago

Read 2 more answers

Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

Anna11 [10]

Answer:

$x+2y=-11$

Step-by-step explanation:

Slope intercept form of a line is given by:

$y=mx+b$

Where

m is the slope and b is the y-intercept

Given slope is $-\frac{1}{2}$

We can write:

$y=-\frac{1}{2}x+b$

Now to find b, we replace x with -3 and y with -4, given, so we have:

$y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5$

So, the equation is:

$y=-\frac{1}{2}x-\frac{11}{2}$

Now,

The standard form is given by:

$Ax+By=C$

So, we take x and y to left side and the constant to right side. Rearranging, we get:

$y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11$

The first answer choice is right.

3 0

2 years ago

Jimmy ran at a speed of m miles. how far did he run in t minutes

beks73 [17]

Answer:

(mxt) miles

Step-by-step explanation:

$speed = m \: miles \: per \:minute \\ time \: = t \: minutes \\ speed = \frac{distance}{time} \\ m = \frac{d}{t} \\ m \times t \: = d \\ d = (m \times t)miles$