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3 years ago

Which ordered pair is a solution of the equation? − 4 x + 7 = 2 y − 3 −4x+7=2y−3

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

The equation is

−4x+7=2y−3

Which can be rewritten as

2y−3 = -4x +7

2y = -4x + 10

y = -2x + 5

The equation represents the line shown in the image below.

Any point that belongs to the line is an ordered pair that represents a solution

To find any ordered pair that satisfies the equation, we place an arbitrary value for x and find the corresponding y value with the equation.

For example

x = 0 ,

y = -2(0) + 5 = 5

(0,5) is an ordered pair

x = 1 ,

y = -2(1) + 5 = 3

(1,3) is an ordered pair

x = 2 ,

y = -2(2) + 5 = 1

(2,1) is an ordered pair

And so on

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Find the value of x.<br> A<br> B<br> X<br> 6<br> 3<br> 2<br> D<br> x = [?]<br> C

GrogVix [38]

Answer:

Step-by-step explanation:

7 0

2 years ago

PLEASE HELP LAST QUESTION

igomit [66]

ANSWER:

a) y = 15x + 75

b) 50 weeks

EXPLANATION:

P A R T A

2 weeks, 105 dollars --> (2, 105)

5 weeks, 150 dollars --> (5, 150)

<u />

<u>if we use slope intercept form (y=mx+b), we must:</u>

1) find the slope

y2 - y1 -->> 150 - 105 = 45

x2 - x1 -->> 5 - 2 = 3

45/3 = 15

2) find the y intercept

y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b

--------------------------------------------------------------------------------------------

P A R T B

y = 15x + 75 (substitute the y with 825 because that is the goal)

825 = 15x + 75 (solve normally)

750 = 15x

50 = x

5 0

2 years ago

What is true about AngleQRT? Select two options.

stiv31 [10]

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR ≅ TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

For more information about congruent visit;

brainly.com/question/13367096

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5 0

1 year ago

15. Higher Order Thinking Nancy made a

Andreas93 [3]

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

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8 0

1 year ago

-(4x - 5) + 16x ≥ -31<br> can you solve this inequality equation?

Elis [28]

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

-5 -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

3 0

3 years ago