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3 years ago

What is the slope of a line that passes through (-4,-13) and (19,11)

Mathematics

2 answers:

Vikki [24]3 years ago

7 0

Answer:

24/23

Step-by-step explanation:

- vs - = + after -24,-23 =

Answer = 24, 23

inysia [295]3 years ago

3 0

The slope of the line is the gradient, which you can find through rise over run

m (gradient) = (y1 - y2) / (x1 - x2)

where (x1, y1) is the coordinate of the first point, and (x2, x2) is the coordinate of the second point

in your question:
x1 = -4
x2 = 19
y1 = -13
y2 = 11

m = (-13 -11) / (-4 -19) = -24 / -23 = 24/23 or 1.04 (2d.p.)

hope that helps :)

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If x and y are integers greater than 1, is x a multiple of y ? (1) \small 3y^{2}+7y=x (2) \small x^{2}-x is a multiple of y. Sta

Nata [24]

Answer:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Step-by-step explanation:

A multiple of a number is obtained after multiplying the number by an integer.

Here,

x, y are any two integers greater than 1,

(1) We have,

$\small 3y^{2}+7y=x$

$\implies y(3y+7) = x$

∵ y is an integer ⇒ 3y + 7 is also an integer,

⇒ y × an integer = x

That is, when we multiply y by a number we obtain x,

∴ x is a multiple of y.

Thus, statement (1) ALONE is sufficient.

(2),

$\small x^{2}-x\text{ is a multiple of y}$

I.e.

$y\times a = x^2-x$ , where a is an integer,

$\implies y\times a = x(x-1)$

∵ x and x - 1 are disjoint numbers,

There are three possible cases,

Case 1 : x is multiple of y

Case 2 : (x-1) is a multiple of y,

Case 3 : neither x nor x - 1 are multiple of y but their product is multiple of y,

Thus, statement (2) is not sufficient.

8 0

3 years ago

Identify any solutions to the system given below.

fiasKO [112]

Answer:
• (6, -7)
• (-4, 13)

Explanation:

• Option One

2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}

3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}

• Option Two

2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}

3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}

• Option Three

2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}

3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}

• Option Four

2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}

3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}

3 0

3 years ago

Read 2 more answers

Why is 3/2 equal to 3/4

sleet_krkn [62]

Answer:

Step-by-step explanation:

the both eual out to the same equation like how 3/4 equals 0.75 and 3/2 equals 1.5 well if you keep dividing sooner or later they will both be equal at the same number.

7 0

3 years ago

Read 2 more answers

I really need help find x in this triangle

arsen [322]

Answer:

x = 5

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

72 + 6x + 2 + 17x - 9 = 180

23x + 65 = 180 ( subtract 65 from both sides )

23x = 115 ( divide both sides by 23 )

x = 5

5 0

3 years ago

Find each unknown side length <br> X=<br> Y=

WARRIOR [948]

Answer:

7 i think not sure

Step-by-step explanation:

3 0

3 years ago