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2 years ago

How do I solve this 45-45-90 triangle?

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

So basically x and y are 4 because the hypotenuse of a 45 45 90 triangle is x square root of four. both legs of the triangle are congruent, given taht it’s a 454590

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Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .

Where,

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

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

$(0, 16) = (x_1, y_1)$

$(3, 40) = (x_2, y_2)$

$slope (m) = \frac{40 - 16}{3 - 0}$

$slope (m) = \frac{24}{3}$

$slope (m) = 8$

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

$y = mx + b$

$16 = 8(0) + b$

$16 = 0 + b$

$16 = b$

$b = 16$

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

$y = mx + b$

$y = 8x + 16$

Let's use the equation to find x when y = 112.

$y = 8x + 16$

Substitute y = 112 in the equation

$112 = 8x + 16$

$112 - 16 = 8x$

$96 = 8x$

Divide both sides by 8

$12 = x$

$x = 12$

8 0

2 years ago

Simplify<br> 7^2x^-3y/49x^-3y^-2

olya-2409 [2.1K]

$\frac{7^2x^{-3}}{49x^{-3} y^{-2}} \\ \\ \frac{49x^{-3}y}{49x^{-3}y^{-2}} \\ \\ \frac{49x^{-3}y}{49x^{-3} \times \frac{1}{y^2} } \\ \\ \frac{49x^{-3}y}{ \frac{49x^{-3}}{y^2} } \\ \\ 49x^{-3} y \times \frac{y^2}{49x^{-3}} \\ \\ \frac{x^{-3}}{x^{-3}} yy^2 \\ \\ 1 \times yy^2 \\ \\ yy^2 \\ \\ y^3 \\ \\$

The answer is: y^3.

4 0

3 years ago

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Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

Flura [38]

Answer:

0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.

7 0

2 years ago

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If an ant is is actually only 5.5mm in length, then what is the scale factor of this drawing?

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