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Svetllana [295]

3 years ago

7

Which statement best explains why this expression is equal to 9.49.4? 9.4 + 9.4a(0)/-9.4

1 answer:

Sunny_sXe [5.5K]3 years ago

3 0

Answer:

The given expression is

$9.4+\frac{9.4a(0)}{-9.4}$

So, basically this expression would result in

$9.4+\frac{9.4a(0)}{-9.4}=9.4$

The result would be just 9.4 because the product in the numerator of the fraction is null, because one of the factors is zero, and every number multiplied by zero equals zero, so the whole fraction expression is null because of that, that's why the answer is 9.4

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45 is what percent of 80?

podryga [215]

I hope this helps
36

4 0

3 years ago

Read 2 more answers

In the right ∆ABC, the hypotenuse AB = 17 cm. M is the midpoint of the hypotenuse. Find the legs if PAMC=32 cm and PBMC=25 cm

jeyben [28]

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

$AB = 17$

$PAMC = 32$

$PBMC = 25$

From the attachment, we have:

$y + z = AB$

Since, M is the Midpoint

$y = z = \½AB$

Substitute 17 for AB

$y = z = \½ * 17$

$y = z = 8.5$

Also, from the attachment

$v + x + z = PAMC$

$v + x + y = 32$

Substitute 8.5 for y

$v + x + 8.5 = 32$

$v + x = 32 - 8.5$

$v + x = 23.5$ --------- (1)

Also, from the attachment

$v + w + z = 25$

Substitute 8.5 for z

$v + w + 8.5 = 25$

$v + w = 25 - 8.5$

$v + w = 17.5$ ----------- (2)

Subtract (2) from (1)

$v - v + x - w = 23.5 - 17.5$

$x - w = 6$

Make x the subject

$x = 6 + w$

Apply Pythagoras Theorem:

We have that:

$AB^2 = AC^2 + BC^2$

The above can be replaced with

$17^2 = x^2 + w^2$ (see attachment)

$289 = x^2 + w^2$

Substitute 6 + w for x

$289 = (6 + w)^2 + w^2$

$289 = 36 + 12w + w^2 + w^2$

$289 - 36 = 12w + 2w^2$

$253 = 12w + 2w^2$

Reorder

$2w^2 + 12w - 253 = 0$

Solve using quadratic equation:

$w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 2$

$b = 12$

$c = -253$

$w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}$

$w = \frac{-12 \± \sqrt{144 + 2024}}{4}$

$w = \frac{-12 \± \sqrt{2168}}{4}$

$w = \frac{-12 \± 46.56}{4}$

Split:

$w = \frac{-12 + 46.56}{4}$ or $w = \frac{-12 - 46.56}{4}$

$w = \frac{34.56}{4}$ or $w = \frac{-58.56}{4}$

$w = 8.64$ or $w = -14.64$

But length can't be negative

So:

$w = 8.64$

Recall that: $x = 6 + w$

$x = 6 + 8.64$

$x = 14.64$

<em>Hence, the length of the legs is 8.64cm and 14.64cm respectively</em>

5 0

3 years ago

The functions f and g are defined as follows.

mariarad [96]

Answer:

x != -2, x^2 + 1, 1/5

Step-by-step explanation:

(a) It can be understood that nothing can divide 0

thus denominator cannot be 0 meaning x cannot be -2.

(-2 + 2) = 0

(b) y = sqrt(x-1)

inverse meaning we make x the subject

square both sides

y^2 = x - 1

y^2 + 1 = x

inverse = x^2 + 1

(c) composite function:

pass g(10) as domain of f

g(10) = 3, f(3) = 1/(5) = 1/5

6 0

3 years ago

Identify the coeficient: 6x + 19

Contact [7]

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

5 0

3 years ago

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Simplify<br> ( 3w + 7 ) + ( 2w + 5)

valentina_108 [34]

Answer:

The answer is 5w+12.

Step-by-step explanation:

Combine like terms:

(3w+7)+(2w+5)

5w+12

6 0

3 years ago