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2 years ago

A square has a 40-cm diagonal.How long is each side of the square? Round to the nearest tenth of a centimeter

Mathematics

1 answer:

Masja [62]2 years ago

8 0

Answer:

28.3 cm

Step-by-step explanation:

Let x represent the length of one side of the square. Then, by the Pythagorean Theorem,

x^2 + x^2 = (40 cm)^2, or

2x^2 = 1600 cm^2.

Thus, x^2 = 800 cm2, and x, the length of one side, is √800, or 28.3 cm to the nearest tenth of a cm.

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A line passes through the point (0, 5) and has a slope of - 1/2 . Which is the equation of the line in slope-intercept form?

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The equation of the line that passes through the point (0,5) with a slope of 1/2

y=1/2x+5

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

See attached for steps

Required

Explain Cody's error

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

2 years ago

Can you help me solve for x on this equation 2x+8=3x-4

Paul [167]

Answer: 12

Step-by-step explanation:

2x + 8 = 3x - 4

In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!

Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.

2x + 8 - 8 = 3x - 4 - 8

Simplify!

2x = 3x - 12

Now, let's subtract 3x from both sides.

2x - 3x = 3x - 12 - 3x

Simplify!

-x = -12

Divide both sides by -1.

-x ÷ -1 = -12 ÷ -1

Simplify.

x = 12

4 0

3 years ago

Read 2 more answers

True or false. to solve y in the equation 2x y=5, subtract 2 from both sides of the equation

gladu [14]

True. To solve for y you have to subtract 2 from both sides of the equation.

3 0

3 years ago