1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLga [1]
3 years ago
7

the sum of the ages of chukwu and Caroline is 45 years if the difference in their age is 3 years find the age of chukwu (chukwu

is older than Caroline)​
Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Step-by-step explanation:

let,the sum of the ages of chukwu & Caroline be X & Y.

now,

X+y=45

X-y=3

(+) (+) (-)

__________

2x=42

or,X=42/2

or,X=21

putting the value of X,

X+y=45

or, 21+y=45

or,y=45-21

or,y=24

therefore,X=21

y=24

You might be interested in
Simplify the expression below:<br><br>5(2x - 4y)​
Dmitriy789 [7]

Answer:

10x-20y

Step-by-step explanation:

5 x 2x - 5 x 4y

10x - 20y

5 0
3 years ago
Read 2 more answers
Need help with the second part:
MaRussiya [10]

Answer:

  3.27 meters

Step-by-step explanation:

The given equation gives a y(0) = 0, for the deflection of 3 cm. Then for a deflection of 2.5 cm, we want y(x) = 0.005, half a centimeter above the low point on the beam. Using this value, we can solve for x:

  0.005 = 3/6400x^2

  32/3 = x^2

  4√(2/3) = x ≈ 3.26599 ≈ 3.27 . . . . meters

The deflection of the beam is 2.5 cm at a distance of 3.27 meters from center.

7 0
3 years ago
P + (-q) -3 when p= -6 and q=7
DochEvi [55]
Remember, -(-x)=x because the negatives cancel out

so
when p=-6 and q=7

p+(-q)-3
-6+(-7)-3
-6-7-3
-13-3
-16
5 0
4 years ago
Evaluate the interval (Calculus 2)
Darya [45]

Answer:

2 \tan (6x)+2 \sec (6x)+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\displaystyle \int \dfrac{12}{1-\sin (6x)}\:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int a\:\text{f}(x)\:\text{d}x=a \int \text{f}(x) \:\text{d}x$\end{minipage}}

If the terms are multiplied by constants, take them outside the integral:

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)}\:\:\text{d}x

Multiply by the conjugate of 1 - sin(6x) :

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)} \cdot \dfrac{1+\sin(6x)}{1+\sin(6x)}\:\:\text{d}x

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{1-\sin^2(6x)} \:\:\text{d}x

\textsf{Use the identity} \quad \sin^2 x+ \cos^2 x=1:

\implies \sin^2 (6x) + \cos^2 (6x)=1

\implies \cos^2 (6x)=1- \sin^2 (6x)

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

Expand:

\implies 12\displaystyle \int \dfrac{1}{\cos^2(6x)}+\dfrac{\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

\textsf{Use the identities }\:\: \sec \theta=\dfrac{1}{\cos \theta} \textsf{ and } \tan\theta=\dfrac{\sin \theta}{\cos \theta}:

\implies 12\displaystyle \int \sec^2(6x)+\dfrac{\tan(6x)}{\cos(6x)} \:\:\text{d}x

\implies 12\displaystyle \int \sec^2(6x)+\tan(6x)\sec(6x) \:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}

\boxed{\begin{minipage}{6 cm}\underline{Integrating $ \sec kx \tan kx$}\\\\$\displaystyle \int  \sec kx \tan kx\:\text{d}x= \dfrac{1}{k}\sec kx\:\:(+\text{C})$\end{minipage}}

\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}

Simplify:

\implies \dfrac{12}{6} \tan (6x)+\dfrac{12}{6} \sec (6x)+\text{C}

\implies 2 \tan (6x)+2 \sec (6x)+\text{C}

Learn more about indefinite integration here:

brainly.com/question/27805589

brainly.com/question/28155016

3 0
2 years ago
Line p and q are perpendicular if the slope of line p is 2 what is the slope of line q
Fudgin [204]
The slope is negative one half because perpendicular lines always have slopes that are opposite reciprocals

meaning not only are they reciprocals meaning 1 over the number (or flipping the numerator and the denominator of a fraction) you also change the sign
6 0
4 years ago
Other questions:
  • julie spends $5.62 at the store.Micah spends 5 times as much as julie.Jeremy spends $6.72 more than Micah.How much money does ea
    8·2 answers
  • -1 2/3 / (-2 1/5)<br> solve this for me please &amp;&amp;' thank you
    9·1 answer
  • What is the interquartile range for the data set?
    5·2 answers
  • A contractor has made a scale drawing of an addition he will be making to a house. On
    12·1 answer
  • Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
    15·1 answer
  • People who do not take the time to show interest in others are:
    6·2 answers
  • Can I get some help on this? it wants it solved for L​
    6·1 answer
  • Solve problems <br>5 1/2×3 1/3​
    8·1 answer
  • At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 t
    10·1 answer
  • Fully Factorise : 8x^2+6x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!