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
Mars2501 [29]
3 years ago
7

PLEASE ANSWER QUICKLY ASAP ANSWER QUESTION A AND B​

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

a) a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}

b) (i) a+2c=\begin{pmatrix}-4\\2\end{pmatrix}

   (ii) k=2

Step-by-step explanation:

It is given that,

a=\begin{pmatrix}4\\-10\end{pmatrix},b=\begin{pmatrix}-2\\1\end{pmatrix},c=\begin{pmatrix}-4\\6\end{pmatrix}

a)

We need to find the value of a+b+c.

a+b+c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-2\\1\end{pmatrix}+\begin{pmatrix}-4\\6\end{pmatrix}

a+b+c=\begin{pmatrix}4+(-2)+(-4)\\-10+1+6\end{pmatrix}

a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}

b)

(i) We need to find the value of a+2c.

a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+2\begin{pmatrix}-4\\6\end{pmatrix}

a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-8\\12\end{pmatrix}

a+2c=\begin{pmatrix}4+(-8)\\-10+12\end{pmatrix}

a+2c=\begin{pmatrix}-4\\2\end{pmatrix}

(ii) It is given that a+2c=kb, where k is an integer. We need to find the value of k.

a+2c=k\begin{pmatrix}-2\\1\end{pmatrix}

\begin{pmatrix}-4\\2\end{pmatrix}=\begin{pmatrix}-2k\\k\end{pmatrix}

On comparing both sides, we get

k=2

You might be interested in
How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?
konstantin123 [22]

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

4 0
2 years ago
What is the scientific notation of 6174798604
lesantik [10]
Here is your answer:

Since their no zeros (0) here's your answer:

6.174798604×10^9
7 0
3 years ago
Smith cut his peanut butter
Lorico [155]
The answer is the square root of 101.75
Assuming that the sandwich Is a square, after cutting it diagonally, it turns into 2 triangles. To look for a missing length of a triangle, you use Pythagorean’s theorem a^2+b^2=c^2
Since c is 12 and a is 6.5 you just square 12 and square 6.5
144 42.25
Subtract it
101.75
You then have to find the square root of it. You can leave it as it is as √101.75 or just solve for it and round it to 10.09
3 0
3 years ago
Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?​
KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

8 0
3 years ago
Read 2 more answers
What’s negative 9 and 2 sevenths subtracted by negative 10 and three sevenths
Nutka1998 [239]

Answer:

8 over 7

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Glad I could help!!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine
    6·1 answer
  • Find the radius of a circle with a circumference of 35 π yards
    7·1 answer
  • Given that OT =5, XT=12, and OX= 13 is XY tangent to circle O at T? Explain.
    13·1 answer
  • Eddie measured his aquarium using a small fish food box. the box has a base area of 6 inches and a height of 4 inches. Eddie fou
    12·2 answers
  • A fair coin to tossed in the air four times if the experimental probability of landing on tails is 1/4,then what is the differen
    14·1 answer
  • Tom bought 3 boxes of 8 chocolate bars for a party, and laura had 17 bars more.Which equation could be solved to find how many c
    9·2 answers
  • Simplify: (6x^3)÷(3x+12)​
    10·1 answer
  • The fun festival cost $ 5.00 to park your car and $3.75 for each food ticket ( Monday- Thursday) and $ 4.25 for each food ticket
    6·1 answer
  • If the mean of a symmetrical distribution is 245, which of the following values
    14·2 answers
  • Could someone help me rnnn?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!