Find the coordinates of the points of intersection of the graphs without building them: 5x–4y=16 and x–2y=6

Answers

Answer 1

Answer: we have that
equation 1
5x–4y=16
and
equation 2
x–2y=6

we know that

Part A) the x-intercept is when y=0
equation 1
5x–4y=16
for y=0
5x=16--------> x=16/5---> x=3.2
the point is (3.2,0)

equation 2
x–2y=6
for y=0
x=6
the point is (6,0)

Part B) the y-intercept is when x=0
equation 1
5x–4y=16
for x=0
-4y=16-------> y=-4
the point is (0,-4)

equation 2
x–2y=6
for x=0
-2y=6------> y=-3
the point is (0,-3)

the answer is
the coordinates of the points of intersection are
equation 1
5x–4y=16
(3.2,0) and (0,-4)

equation 2
x–2y=6
(6,0) and (0,-3)

Answer 2

Answer:

Final answer:

To find the coordinates of the points of intersection of two graphs without building them, solve the given system of equations. The coordinates of the points of intersection of the graphs 5x - 4y = 16 and x - 2y = 6 are approximately (-8.67, -2.33).

Explanation:

To find the coordinates of the points of intersection of the graphs without building them, we can solve the given system of equations: 5x - 4y = 16 and x - 2y = 6.

Step 1: We can solve the second equation for x: x = 6 + 2y.

Step 2: Substitute the value of x from Step 1 into the first equation: 5(6 + 2y) - 4y = 16.

Step 3: Simplify and solve for y: 30 + 10y - 4y = 16. Combine like terms: 6y = -14. Divide by 6: y = -7/3.

Step 4: Substitute the value of y from Step 3 into the second equation to find x: x - 2(-7/3) = 6. Simplify: x + 14/3 = 6. Subtract 14/3 from both sides: x = -26/3.

Therefore, the coordinates of the points of intersection are (-26/3, -7/3) or approximately (-8.67, -2.33).

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The floor in Lila's bedroom is 30 square yards. Calculate the area in square feet.A) 540 square feet

B) 270 square feet

C) 90 square feet

D) 10 square feet

Answers

the answer is 270
Hope I Helped

Answer:

Its B 270 square feet

Step-by-step explanation:

The solution is 270 square feet. There are 3 feet in 1 yard, and 9 square feet in 1 square yard. Therefore, we can multiply 30 by 9 to get a total of 270 square feet.

Jack is taking medications for a recent illness. Every 6 hours he takes an antibiotic, every 4 hours he takes a pain reliever, and every 3 hours he drinks a glass of water. If he starts this regime at 10 am, at what time will he be taking both medicines and a glass of water?

Answers

At 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

What is least common multiple?

" Least common multiple is defined as the smallest number which is a multiple of given set of numbers."

According to the question,

Given,

Time to start regime = 10am

Time to take antibiotic =Every 6hours

Time to take pain reliever =Every 4hours

Time to drink a glass of water =Every 3hours

Least common multiple of ( 6, 4, 3) = 12

After 12 hours Jack is taking both medicines and a glass of water.

Start regime at 10am

Time after 12hours is 10pm.

Hence, at 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

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he'd take the antibiotics at 4pm, the pain reliever at 2pm and water at 1pm

Lines AC and RS are
Coplanar
Parallel
Perpendicular
Skew

Answers

The correct option is Option D: Line AC and RS are skew lines.

What is the line?

A line is defined as set of points that extends infinitely in either direction. A line is the shortest distance between any two points.

What are skew lines?

Skew lines are two lines that never intersect and are not parallel also. Hence we can say that the two lines can not exist in the same plane.

From the figure it is clear that

Line AC and RS are in different planes and they are also not intersecting each other, hence according to the definition of skew lines, they are skew lines.

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Answer:

Skew Is your answer

Step-by-step explanation: Took the test

if you horizontally shift the square root parent function, F(x) = $√(x)$ , left four units, what is the equation of the new function?

Answers

ANSWER

$g(x) = √(x + 4)$

EXPLANATION

The parent square root function is

$f(x) = √(x)$

The translation

$g(x ) = √(x + k)$

Will shift the graph of f(x) k units to left.

The translation

$g(x) = √(x -k)$

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

$g(x) = √(x + 4)$

Final answer:

Shifting a function left involves adding a value to the x-component. Hence, shifting the square root parent function, F(x) = √x, to the left by 4 units results in a new function F(x) = √(x+4).

Explanation:

When a function is shifted horizontally, it impacts the input or the x-values. A shift to the left is represented by the addition of a value to the x-component of the function. Hence, to shift the square root parent function, F(x) = √x, to the left by 4 units, you would add 4 to 'x' in the function, which results in a new function F(x) = √(x+4). "This function represents the original square root parent function shifted 4 units to the left".