<img src="https://tex.z-dn.net/?f=%20%5Clarge%20%5Csf%20%5Cblue%7BFind%20%5C%3A%20%20the%20%5C%3A%20%20H.C.F%20%5C%3A%20%20of%20

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2 years ago

%3A%20%7D" id="TexFormula1" title=" \large \sf \blue{Find \: the \: H.C.F \: of : }" alt=" \large \sf \blue{Find \: the \: H.C.F \: of : }" align="absmiddle" class="latex-formula">
$\sf \purple{➪ \: 84 \: and \: 156}$

Mathematics

1 answer:

ddd [48]2 years ago

5 0

Answer:

$\large \sf \blue{Find \: the \: H.C.F \: of : }$

$\sf \purple{➪ \: 84 \: and \: 156}$

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Pleas help me find the answer and show the work to this question

lions [1.4K]

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

6 0

2 years ago

Which of the following equations describe the line shown below? <br><br>Check all that apply.

WITCHER [35]

Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5

Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)

In short, Your Answers would be Option C & D

Hope this helps!

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3 years ago

Which graph most likely shows the experimental probability histogram of X based on 100 data points?

Archy [21]

Answer:

see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...