Solve the equation 8/x-4=9/6+x

Answers

Answer 1

Answer: Solve by multiplying each side by the other side's denominator:

$(8)/(x - 4) = (9)/(6 + x)$
$8(6 + x) = 9(x - 4)$
$48 + 8x = 9x - 36$
$\bf x = 84$

Now, something you should always check when you have x in the denominator of a fraction is to make sure that there isn't a problem with division by 0. Since neither of the fractions has a denominator of 0 when x = 84, there's no issue, so we're safe.

Answer 2

Answer: $D:x\not =4 \wedge x\not=-6\n(8)/(x-4)=(9)/(6+x)\n\n9(x-4)=8(6+x)\n9x-36=48+8x\nx=84$

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What is the value of y so that the ordered pair (5, y) is a solution to the equation –5x + y = –40?

Answers

(5, y). Implies that x = 5

-5x + y = -40

-5*5 + y = -40

-25 + y = -40

y = -40 + 25

y = 25 - 40

y = -15.

Value of y = -15.

I'm a little confused with the question but if u want to find the value for y so u can get -40 is going to be -35
-5x+y=-40
-5(1)+y(-35)=-40
-5-35=-40

The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room? Round your answer to the nearest foot.

Answers

Answer:

Distance from a corner to the other corner of the storage room is 424 foot

Step-by-step explanation:

Given: Storage room is a cube.

Length of Edge = 300 feet

To find: Length of Diagonal of the wall.

Storage room is A Cube.

⇒ Walls are of Squares shape.

Angle at vertex of Square is 90°

⇒ Traingle made by diagonal and 2 side at time is right angled triangle.

By, Pythagoras theorem

Diagonal² = Side² + Side²

Diagonal² = 2 × Side²

Diagonal = $√(2* Side^2)$

Diagonal = $√(2)* Side$

So, using this formula, we get

Diagonal = $√(2)*300\:\:feet$ ≈ 424 foot

Therefore, Distance from a corner to the other corner of the storage room is 424 foot

What is 5x -2=38
A 36
B 8
C 7
D 13

Answers

move constant over (5x=38+2), combine terms (5x=40), divide both sides by 5 (x=8)

For triangle TRI the following facts are given:Segment AN is perpendicular to segment RI
AN = 6 cm
RI = 8 cm
TA = 3.3 cm
NI = 1.6 cm

In two column format prove that triangle TAN is congruent to triangle TRI

Answers

we can see that the two triangles share an angle and all their sides are parallel, thus by Tales theorem, they are in Tales position, which proves that they are congruent.

we can see from figure that:
call x and y the unknown segments TA and TN, then we have:

3.3/(3.3 + x) = 6/8

8*3.3 = 6(3.3 + x)
x = 1.1

and then the proportion still holds for those sides as well as AN and RI

we also have:
y/(y + 1.6) = 6/8
8y = 6y + 9.6

y = 4.8

and then the proportion still holds for those sides as well as AN and RI

Log81 1/9= need help with this

Answers

If it is log 81 base 1/9=x, then you can make the following equation
(1/9)^x=81
x=-2
in this case since 9 squared is 81 and you need to flip the fraction so you add a negative,
Hope this helps.

$log_(81)(\frac{1}9})$
$81^(x) = (1)/(9)$
$ln(81^(x)) = ln((1)/(9))$
$x\ln(81) = ln((1)/(9))$
$(x\ln(81))/(ln(81)) = (ln((1)/(9)))/(ln(81))$
$x = (ln((1)/(3))^(2))/(ln(3)^(4))$
$x = (2ln((1)/(3)))/(4ln(3))$
$x = (ln((1)/(3)))/(2ln(3))$
$x = (-ln(3))/(2ln(3))$
$x = -(1)/(2)$

\dfrac{1}{3}(4\cdot3)+2^3=
3
1

(4⋅3)+2
3

Answers

I got 14 on Photomath

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