Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10
b.2y + 3x = 10
c.2x + 3y = 10

Answers

Answer 1

Answer: Twice the abscissa increased by three times the ordinate is 10.
x - the abscissa;
y - the ordinate.
Answers A and B represents: "Three times the abscissa increased by twice the ordinate is 10." Therefore A are B are wrong.
Answer:
C ) 2 x + 3 y = 10

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PLEASE HELP I WILL VOTE BRAINLIEST IF CORRECTGraph the following system of equations and find the x-coordinate of the solution.

Choices:
x = -2
x = 3
x = 2
x = 0

Answers

x = 3

y = 8

(3, 8)

Hope this helps! :)

Find all zeros (both real and complex) for the function f(x)=x^3-5x^2+4x+10

Answers

$f(x)=x^3-5x^2+4x+10\n f(x)=x^3+x^2-6x^2-6x+10x+10\n f(x)=x^2(x+1)-6x(x+1)+10(x+1)\n f(x)=(x+1)(x^2-6x+10)\n\n x+1=0\n x=-1\n\n x^2-6x+10=0\n x^2-6x+9+1=0\n (x-3)^2=-1\n x-3=i \vee x-3=-i\n x=3+i \vee x=3-i\n\n x=\{-1,3-i,3+i\}$

Solve for the right triangle given only one side and angle

Answers

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

Answer:

$\huge \boxed{CD =√(11) } \n \n \huge \boxed{CE =√(11) }$

Step-by-step explanation:

The triangle is a right triangle.

We can apply trigonometric functions to solve for the missing sides.

sin θ = opp/hyp

sin 45 = CD /√22

Multiply both sides by √22.

√22 sin 45 = CD

√11 = CD

cos θ = adj/hyp

cos 45 = CE /√22

Multiply both sides by √22.

√22 cos 45 = CE

√11 = CE

A trading token is in the shape of a trapezoid and has an area of 25 cm² if the bases are three and 7 cm what is the height of the tokens

Answers

$Area = (b1 + b2)/(2) *h$
$25 = (3 + 7)/(2) * h$
25 = $(10)/(2)$ *h
25 = 5h
5 = h
the height is 5

What fraction of a £1 is eighty pence

Answers

I think it would 80/100 because £1 is 100 and we trying to work out the fraction of 80p of £1. So it would be 80/100. Hope this helps.

4/5
put it this way
80/100
half it= 40/50
then simplify it= 4/5
easy!

A.How much flour is used with 6 eggs? B.How many eggs are used with 15 cups of flour?

Answers

Final answer:

Without a ratio, we cannot answer these questions. However, if we had a ratio such as 2 cups flour to 3 eggs, we could use cross-multiplication to find the amount of flour needed for 6 eggs (12 cups) and the amount of eggs needed for 15 cups of flour (45 eggs).

Explanation:

To answer these questions, we need a ratio between flour and eggs. However, without this ratio, it's impossible to answer questions a and b correctly. Usually in cooking, the amounts of ingredients used can vary depending on the recipe.

Multiply the amount of flour (2 cups) by number of eggs (6 eggs) to find the total amount of flour needed. 2x6=12, so you would need 12 cups of flour.
Multiply the amount of eggs (3 eggs) by amount of flour (15 cups) to find the total number of eggs needed. 3x15=45, so you would need 45 eggs.