All categories

2 years ago

Which ordered pair is a solution of the equation?

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

3 0

Answer:

(a)

Step-by-step explanation:

To determine if the points are a solution to the equation.

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then they are a solution.

(2, 5)

- 3(2) + 4(5) = - 6 + 20 = 14 ← True

(4, 6)

- 3(4) + 4(6) = - 12 + 24 = 12 ← False

Thus (2, 5) is the only solution to the equation → (a)

You might be interested in

Name the quadrilaterals that have four equal sides.

Papessa [141]

A: rhombus and squares have four equal sides.

5 0

2 years ago

PLEASE HELP DUE TODAY

AleksAgata [21]

9514 1404 393

Answer:

16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

A = (1/2)(b1 +b2)h

A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

4 0

2 years ago

The lakeside marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Part D:what information does the i

STALIN [3.7K]

Answer: B.The cost of rental fee only

Step-by-step explanation:

The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.

Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.

7 0

2 years ago

Help for geometry asap

Llana [10]

Given:

Four lines are marked proportion, the length of TW can be determined by

$TW=a+4+b$

Value of a:

Let us set the proportion for the given lines.

Thus, we have;

$\frac{a}{7}=\frac{4}{5}$

$5a=28$

$a=5.6$

Thus, the value of a is 5.6

Value of b:

Let us set the proportion for the given lines.

Thus, we have;

$\frac{4}{5}=\frac{b}{5}$

$20=5b$

$4=b$

Thus, the value of b is 5.

Length of TW:

The length of TW is given by

$TW=5.6+4+4$

$TW=13.6$

Thus, the length of TW is 13.6

3 0

2 years ago

Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.

SCORPION-xisa [38]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,

2x+5x = 11 + 10

7x = 21

$\frac{7x}{7} =\frac{21}{7}$ Divide each sides by 7.

So, x= 3

6 0

3 years ago