In an expression
(8/9) squared (-81)+3/5dividedby-9/10

Answers

Answer 1

Answer: If you wanted to calculate it, there it is:
$((8)/(9))^2 (-81)+((3)/(5))/((-9)/(10)) = (64)/(81)*(-81)+(3)/(5)*(10)/(-9) = -64+(-2)/(3)= \n =-64-(2)/(3)=(-192-2)/(3)=(-194)/(3)$

Answer 2

Answer:

Answer: -64.0066666667

(((8\9)squared)*(-81))+(((3\5)\(-9))\10)

Step-by-step explanation:

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Subtract -5/18 - (-1/4) -1/36 -19/36 -1/18 1/36
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A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space
What is the smallest division of a cm ruler and a mm ruler? Thank you.
If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10

If f(x)=3/4 and g(x)=3x which statement is true trust me I've tried

Answers

The answer is D.

f(x) = 3/x
g(x) = 3x

(g * f)(-9) = 3(3/-9)
(g * f)(-9) = 3(-1/3)
(g * f)(-9) = -1

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.) a = 31, c = 42, ∠A = 39° ∠B1 = ° ∠B2 = ° ∠C1 = ° ∠C2 = ° b1 = b2 =

Answers

Answer:

Step-by-step explanation:

In triangle ABC we have $a = 31, c = 42, ∠A = 39°$

To find other sides and angles.

Use sine formula for triangles

$(a)/(sin A) =(b)/(sin B) =(c)/(sinC) \n(31)/(sin39) =(b)/(sinB) =(42)/(sinc)$

Cross multiply to get

$Angle C =58.5^(o)$ or $121.5$

Angle B = 180-A-C

= $82.5^(o)$ or $19.5$

b =18.84 or 16.44

There are two triangles

with

$Side a = 31\nSide b = 48.84\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 82.50° \nAngle ∠C = 58.5°$

$Side a = 31\nSide b = 16.44204\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 19.5° \nAngle ∠C = 121.5°$

Y = 10 + 16x − x^2y = 3x + 50
If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the y1 and y2?

Answers

Solving the system we can see that the sum of the y-values of the two solutions is 139.

How to get the sum of y₁ and y₂?

Let's solve the system of equations.

y = 10 + 16x − x²

y = 3x + 50

We can write this as a single quadratic equation:

10 + 16x - x² = 3x + 50

10 + 16x - x² - 3x - 50 = 0

-x² + 13x - 40 = 0

Using the quadratic formula we will get the two solutions for x:

$x = (-13 \pm √(13^2 - 4*-1*-40) )/(-2) \n\nx = (-13 \pm 3 )/(-2)$

So the two solutions are:

x = (-13 + 3)/-2 = 5

x = (-13 - 3)/-2 = 8

Evaluating the linear equation in these two values we will get y1 and y2.

if x = 5

y₁ = 3*5 + 50 = 65

if x= 8

y₂ = 3*8 + 50 = 74

The sum is:

65 + 74 =139

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Final answer:

The distinct solutions to the system of equations are (5, 65) and (8, 74), and the sum of the y-values is 139.

Explanation:

To find the sum of y-values of the distinct solutions to this system of equations, first, you need to set the two equations equal to each other to find the x-values of the solutions:

10 + 16x − x^2 = 3x + 50.

Then, solve the resulting equation for x:

x^2 - 13x + 40 = 0.

This is a quadratic equation, and it can be solved either by factoring or using the quadratic formula. The solutions for x result in:

x = 5 and x = 8.

These are the two distinct x-values for the intersections of the graphs of the two equations. To find the corresponding y-values, plug these x-values into either of the original equations. We'll use the simpler equation, y = 3x + 50:

For x = 5, y = 65 and for x = 8, y = 74.

Therefore, the distinct solutions to the system of equations are (5, 65) and (8, 74). Finally, the sum of y1 and y2 is 65 + 74 = 139.

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How much pure acid do you mix with 2L of 40% acid to get 70% acid

Answers

(2*40%+x*100%)/(2+x) = 70%; calculate x !

Answer:

2*40 + x*100 = (2+x)*70

Step-by-step explanation:

Which set of sides would make a right angle

Answers

Answer:

PICTURE?

Step-by-step explanation:

Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinatesof the point after the translations?
The coordinates are

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5) → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates of the point(x, y) after the translations are: P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates of the point P(0, 0) after the translations are:

P''(2, 7)

The final coordinates of the point after the translations are (x + 2, y + 7). Let's start with a point (x, y) and apply the translations step by step: 1. Translate the point 3 units left and 5 units up:

New coordinates after the first translation: (x - 3, y + 5)

2. Translate the new point 5 units right and 2 units up:

New coordinates after the second translation: (x - 3 + 5, y + 5 + 2)

Now, simplify the expressions inside the parentheses:

New x-coordinate: x - 3 + 5 = x + 2

New y-coordinate: y + 5 + 2 = y + 7

So, the final coordinates of the point after the translations are (x + 2, y + 7).

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