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3 years ago

Which point is directly above (4, -1)? (-4,1) (4,1) (4,-1)

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

8 0

The point that would be directly above would be (4,1)

natima [27]3 years ago

7 0

Answer:

(4,1)

Step-by-step explanation:

1: Different x value (bad: 8 units to the left of original point), different y value (good: on higher horizontal line), d

2: Same x value (good: same vertical line), different/higher y value (good: 2 units above original point).

3: Same x value (good: same vertical line), same y value (bad: same horizontal line, didn’t move higher or lower).

I hope this makes sense lol

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2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

*URGENT ALGEBRA 2* Anyone know these answers? Will award brainliest.

stiv31 [10]

Correct Answer:
Second option

Solution:
The given sequence is:

2.2, 6.6, 11, ...

If we observe the sequence it is an Arithmetic Sequence as the difference between two consecutive terms is the same.

6.6 - 2.2 = 4.4
11 - 6.6 = 4.4

First we find the general term for this sequence.

$a(n)= a_{1}+(n-1)d$

$a_{1}=$ first term = 2.2
d = 4.4

So,

$a(n) = 2.2 +(n-1)*4.4 \\ \\ 
a(n) = 2.2 + 4.4n - 4.4 \\ \\ 
a(n) = 4.4n - 2.2$

This general term will be placed inside the summation sign with limits from 1 to 5 to give the sum of first 5 terms of the given sequence. So the correct answer is Second Option

6 0

3 years ago

A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given

Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

3 0

3 years ago

$70 with a 25% discount

stealth61 [152]

70(.25) = 17.25
70 - 17.25 = 52.50

3 0

3 years ago

JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK?

MA_775_DIABLO [31]

ANSWER:

I think the approximate length og chord Lk is around 8.5 inches long

3 0

3 years ago