Answer:
=25343 grams or 25 kg 343 g.
Step-by-step explanation:
1 kg = 1000 g
∴ 4 kg = 4000 grams
and the 4 kg 250 g would equal = 4250 grams.
∴ 2 kg = 1000 g
2 kg 90 g = 2000 grams + 90 g = 2090 grams
∴ 19 kg = 19000 grams
and 19 kg 3 grams = 19000 grams + 3 grams = 19003 grams
now we will add all of the values together to get the final answer.
4250 grams + 2090 grams + 19003 grams = 25343 grams or 25 kg 343 g.
Hope this helps!!
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
Answer:
The answers to the first three problems are shown in the figure attached
Fourth problem answer: 3.5 cm
Step-by-step explanation:
In problem 1, move the given triangle ABC four units to the right and 2 units down as what the displacement vector "v" indicates.
You may do such by translating each vertex of the triangle ABC such number of units one at a time and then joining the vertices.
In problem 2 the requested translation vector "v" indicates 4 units to the right and 1 unit up. Do such translation for each vertex of the triangle as suggested before.
In problem 3 the requested translation "v" asks for 2 units to the left and 3 up.
Do the translation of each vertex following these instructions.
Problem 4: use a ruler and notice that the length of the vector xy given has exactly the same length as the distance between the vertices A in one triangle, and A' in the other. The same is true for the distance between vertex B and B' in the other triangle, and for the distance between C and C'.
Answer:

Step-by-step explanation:

Resolving Parenthesis

Collecting like terms


Dividing both sides by 2

Answer:
56
Step-by-step explanation:
Since ABCD is a parallelogram, AB= DC

Simplifying the equation

Divide 3 on both sides, to get 


