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KIM [24]
3 years ago
6

How to find coordinates of a point using ratio

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

m1=3, m2= 1

point A= (-5,4)

point B=(7,-2)

x=m1x2+m2x1/ m1+m2 , y=m1y2+m2y1 / m1+m2

x= 3×7 +1×-5/3+1 , y= 3×-2+1×4 / 3+1

x= 21-5/4, y= -6+4/4

x= 16/4, y= -2/4

x= 4, y= 0.5

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HELPPPPPP math please only correct answer i beg you
Alekssandra [29.7K]

Answer:

the area is 15

Step-by-step explanation:

if you split this shape into a triangle and a square, the triangle would measure with a legnth og 4 and a with of 3, which = 12 and then you divide by 2 to = the triangles area(6) then you add tht to the area of the square 3*3=9. so the answer would be 15

8 0
3 years ago
A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

---------------------

a=-2

-2(a+b=58)

2a+b=56

-------------------

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
3 years ago
Same just bought 9 bags of 13 cookies in a jar. How many cookies does Sam have now?
Artyom0805 [142]

Answer:

<em>123 </em>cookies

Step-by-step explanation:

He got 9*13 cookies, and had 6 already, so 9*13 + 6

9*13 = 117, plus 6 is 123

6 0
3 years ago
Read 2 more answers
47. Dave deposits 9818 in a bank for one year. If the interest rate is 9% p.a:
Olegator [25]

Answer:

The interest is $883.62 and the amount is $10701.62.

Step-by-step explanation:

Find the interest =

=9818 x 0.09 x 1

=883.62.

Since P = $9818 and I = $883.62 we have,

Find the Amount=

=9818+883.62

=10701.62..

3 0
3 years ago
One integer is 5 more than another. Their product is 234. Find the integers?
marishachu [46]
X(x+5)=234
x^2 +5x=234
x^2+5x-234=0

Factor:
x^2+5x-234
(x-13)(x+18)

the integers are 13 and 18.
3 0
3 years ago
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