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3 years ago

The endpoints of are A(1, 4) and B(6, -1). If point C divides in the ratio 2 : 3, the coordinates of C are

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer

The answer is C=(4,2). Let me know if you need an explanation.

Step-by-step explanation:

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What is the rate of change in decimal form for the points (1,5) (0,-3)

seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

$\frac{5-(-3)}{1-0} =\frac{8}{1}=8$

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

3 0

3 years ago

Help please this is so hard I don't understand it

Zina [86]

Answer:

<ABC = 15

< BAC = 150

Step-by-step explanation:

<C = <B since this is an isosceles triangle. We know this because AC = AB

<C = 15 so <ABC = 15

The sum of the angles of a triangle is 180

A + B+ C = 180

A + 15+15 = 180

A +30 =180

A = 180-30

A = 150

< BAC = 150

5 0

3 years ago

Which of the following is the solution to | x -12 | < 15

KiRa [710]

Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27

7 0

3 years ago

A degree 4 polynomial P(x) with integer coefficients has zeros 5 i and 3, with 3 being a zero of multiplicity 2. Moreover, the c

Sergio039 [100]

Multiplicity is how many times the root repeats

roots r1 and r2 of a polynomial factor to

(x-r1)(x-r2)

so 3 multiplicty 2 means (x-3)^2 is in the factorization of that polynomial

also, for a polynomial with real coefients, if a+bi is a roots, a-bi is also a root

5i is a root, therefor -5i is a root as well

roots are

(x-5i)(x+5i)(x-3)^2

if we expand

x^4-6x^3+34x^2-150x+225

the polynomial is

f(x)=x^4-6x^3+34x^2-150x+225

6 0

3 years ago

12(x - 6) = 2(x - 9)

nlexa [21]

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

8 0

2 years ago