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3 years ago

What is the slope of the line through the points (1,3) and (4,-1)?

Mathematics

2 answers:

REY [17]3 years ago

6 0

Answer:

-4/3

Step-by-step explanation:

Finding slope can be done with this formula

Y2 - Y1/X2 - X1

Input

-1-3 = -4, 4-1= 3

Answer

-4/3

Katarina [22]3 years ago

5 0

Answer:

Slope (m) = -4 /3

= -1.3333333333333

Step-by-step explanation:

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3 Find the value of a in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

3 0

2 years ago

TJ invested $4000 in a bond at a yearly rate of 2% for 30

slavikrds [6]

Answer:

2.5 years

Step-by-step explanation:

I = 200 T=200/4000 0.2 = 2.5 years

P= 4000

R = 2% 0.2

T = ?

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3 years ago

pete is a furniture refinisher. to paint a chest of drawers, he needs 1/2 gallon of paint. he has 1 quart. how many more quarts

bezimeni [28]

Pete needs one more quart of paint, leaving two quarts in total.

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3 years ago

Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the

GalinKa [24]

Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).

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3 years ago

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. T

saw5 [17]

Answer:

Step-by-step explanation:

Given

See attachment for figure

$CA = 4$

$CA' = 16$

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

$k = \frac{CA + CA'}{CA}$

So, we have:

$k = \frac{4+16}{4}$

$k = \frac{20}{4}$

$k = 5$

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2 years ago