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3 years ago

The equations : -3x+4y=-30− and 9x + 5 y = 39 intersect at the coordinate (h, k). What is the value of h?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

h = 6

Step-by-step explanation:

Given the 2 equations

- 3x + 4y = - 30 → (1)

9x + 5y = 39 → (2)

We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations

Multiply (1) by 5 and (2) by - 4

- 15x + 20y = - 150 → (3)

- 36x - 20y = - 156 → (4)

Add (3) and (4) term by term thus eliminating y

- 51x = - 306 ( divide both sides by - 51 )

x = h = 6

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marusya05 [52]

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

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2 years ago

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3 years ago

Work out the lengths of b of 17cm and 12cm pythagoras

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Answer:

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3 years ago

Here are the steps Tyler took to solve the equation.

Finger [1]

Algebraic expressions include both alphabet and number so that the value of the alphabet is to be determined. Thus the steps taken by Tyler are correct if x = 22.

ii. Tyler made no mistake.

Algebraic expressions include both alphabet and number so that the value of the alphabet is to be determined. The value of the alphabet in the expression would be determined by applying mathematical operations appropriately.

To solve the question given to Tyler, we have:

$\sqrt{x + 3}$ = -5

square both sides of the equation to have;

(x + 3) = $(-5)^{2}$

x + 3 = 25

collect like terms to get;

x = 25 - 3

= 22

x = 22

1. Thus the equation is true if x = 22.

2. Tyler did not make any mistake in solving for x.

For more clarifications on algebraic expressions, visit: brainly.com/question/4344214

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2 years ago

A yogurt machine makes

Norma-Jean [14]

Step-by-step explanation:

the relationship between x and y is defined by a constant factor.

you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.

that makes it a linear relationship (a line on a chart, hence the name).

proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

so, yes, it is proportional.

and the table is then

x y

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3 3×2/3 = 2

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2 years ago