<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B%20-%204%7D%20%20%2B%2011%20%3D%205" id="TexFormula1" title=" \frac{x}{ -

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Blababa [14]

3 years ago

4} + 11 = 5" alt=" \frac{x}{ - 4} + 11 = 5" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

snow_lady [41]3 years ago

4 0

Our equation is:

(x/-4)+11=5; we need to get x by itself in order to solve. Let's subtract 11 from both sides. (x/-4)=-6; let's now multiply both sides by -4. x=24; let's check to see if x is 24 by plugging it in.

24/-4=-6+11=5

So, x=24.

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Use the unit circle to evaluate the followingHow do I solve this problem?

Ilya [14]

Notice that:

$\cos (\frac{4\pi}{3})=\cos (\pi+\frac{\pi}{3})\text{.}$

Recall that:

$\cos (\pi+x)=-\cos (x)\text{.}$

Therefore:

$\cos (\frac{4\pi}{3})=-\cos (\frac{\pi}{3})=-\frac{1}{2}\text{.}$

Answer:

$cos(\frac{4\pi}{3})=-\frac{1}{2}\text{.}$

6 0

1 year ago

QRST is a square. PQ = 2√ RU = 4 What is the length of SU? Round to the nearest tenth.

777dan777 [17]

Answer:

$SU=3.5\ units$

Step-by-step explanation:

step 1

In the isosceles right triangle PQT

PQ=PT ----> because is an isosceles triangle

Applying the Pythagoras Theorem

we have

$PQ=PT =\sqrt{2}\ units$

$QT^{2}=PQ^{2} +PT^{2}$

substitute the values

$QT^{2}=\sqrt{2}^{2} +\sqrt{2}^{2}$

$QT^{2}=4$

$QT=2\ units$

step 2

In the square QRST

$RS=QT=2\ units$

step 3

In the right triangle RSU

Applying the Pythagoras Theorem

$RU^{2}=RS^{2} +SU^{2}$

we have

$RU=4\ units$

$RS=2\ units$

substitute the values and solve for SU

$4^{2}=2^{2} +SU^{2}$

$SU^{2}=4^{2}-2^{2}$

$SU^{2}=12$

$SU=2\sqrt{3}\ units$

$SU=3.5\ units$

8 0

3 years ago

3g-2h+4d-d+8x2 need help.

elena55 [62]

Answer:

i think the answer you want is 8x^2+3d+3g-2h

Step-by-step explanation:

you have to combine like terms

the only like terms are +4d and -d which simplify to +3d

then you just write the rest out as written.

6 0

3 years ago

Which algebraic expression represents “the difference of fifty-four and seven times a number”? 54 minus 7 n StartFraction 54 Ove

VMariaS [17]

Answer: 54-7n

Step-by-step explanation:

When we talk about mathematical language, the difference between two numbers, quantities or terms is the substraction operation.

For example, the difference between a and b is:

a-b

On the other hand, if we read a numer c times a number n, this means both numbers are multiplied.

For example:

c times n is:

(c)(n)

So, according to the explained above, “the difference of fifty-four and seven times a number n” is:

54-7n

8 0

3 years ago

Read 2 more answers

A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to m

salantis [7]

Given:

t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water

Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current

Solution:

Working formula: distance = velocity*time

a) For travelling downstream, we get the equation

d = (x +y)*3.6

For travelling upstream, we get the equation

d = (x-y)*4.5

b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of

(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9

c) percentage = 1/9*100% = 11.1%

ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
 b) y = x/9
 c) 11.1%

3 0

3 years ago