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dimulka [17.4K]
3 years ago
7

Which system of equations is represented by the matrix below?

Mathematics
1 answer:
ioda3 years ago
4 0
It is the matrix of coefficients for the system
5x - 7y = 15
-3x = 7
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Let a⃗ =4ı^−2ȷ^, b⃗ =−3ı^+5ȷ^, and e⃗ =2a⃗ +3b⃗ . part a write vector e⃗ in component form.
ch4aika [34]

We have been given that:

Vector \vec{a}=4\hat i-2\hat j and \vec{b}=-3\hat i+5\hat j.

Component form of a vector implies to write the vector with each individual components.

Now, our vector \vec e is given by

\vec e =2\vec a+3\vec b

Now, 2 \vec a=2(4\hat i- 2 \hat j)=8 \hat i -4 \hat j

and 3 \vec b= 3(-3 \hat i +5\hat j)=-9 \hat i + 15\hat j

Plugging the values  of 2 \vec a and 3\vec b, we get:

\vec e = 8 \hat i-4 \hat j-9 \hat i + 15 \hat j=- \hat i+11 \hat j

So, the vector 'e' in its component form is given as:

\vec e= -\hat i+11\hat j

4 0
3 years ago
Will mark the brainliest <br> And thank you:)
Vinvika [58]

\sf{\implies Range = Highest \: - lowest }

→ Range of Lewistown = 74 - 64

→ Range of Lewistown = 10 .

→ Range of Hamersville = 71 - 55

→ Range of Hamersville = 16 .

☆ Range of Hamersville - Range of Lewistown

→ 16 - 10

→ 6

Answer → The range for Hamersville is 6 more than the range for Lewistown .

5 0
3 years ago
Which symbol correctly compares these two fractions? 6/9 ? 2/3. A = B &lt; C &gt;​
brilliants [131]

Answer:

A

Step-by-step explanation:

You know that you can simplify 6/9 because both the numerator (top number) and denominator (bottom number) can be divided by 3. Therefore, you divide them by 3 to get 2/3. 2/3 cannot be simplified anymore. 2/3 is equal to 2/3. Therefore, the answer is A.

If this has helped please mark as brainliest

5 0
3 years ago
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The length of a rectangle is 4 centimeters more than twice its width, If the perimeter of the rectangle is 86 centimeters, find
AlekseyPX
Rectangle formula 1/2 ×b × H × l
= 1
___ × 4 × 86 × 2 = 344 totally answer
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7 0
4 years ago
What is the CONSTANT in the expression 3k + 12?
levacccp [35]

Answer: 12

Step-by-step explanation:

5 0
3 years ago
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