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larisa [96]
3 years ago
5

Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

51

Step-by-step explanation:

Vika [28.1K]3 years ago
6 0
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
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Simplify (2x + 3)(x – 4) = ?
Lina20 [59]
Use the FOIL method (first, outside, inside, last) to multiply:

2x^2-8x+3x-12

This can be simplified even more into:

2x^2-5x-12.

Hope this helped!
5 0
3 years ago
together,sarah's two cats have the same mass as her dog,11 kg.the mass of one cat is 1500 g greater than the mass of the other.
Alika [10]
Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped



6 0
3 years ago
Find the product of -5x²y⁴ and 3xy³​
ycow [4]

Answer: -15x^3y^7

Step-by-step explanation:

 

-5x^2y^4(3xy^3)  

Multiplty the coefficients

Multiply the x terms

and fianally multiply the y terms  

-5(3) = -15

x^2 * x = x^3

y^4* y^3 = y^7

= -15x^3y^7

8 0
3 years ago
Which of the following expressions is equivalent to -3(-x+12)?
Paladinen [302]

Answer:

d: 3x-36

Step-by-step explanation:

Apply the distributive property:

- 3( - x ) - 3 \times 12

Multiply -1 by -3

3x - 3 \times 12

Multiply -3 by 12

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3 0
3 years ago
What is the value of x in the equation 1.8-3.7x=-4.2x+0.3?
Bas_tet [7]

Answer:

Isolate the variable by dividing each side by factors that dont contain the variable.

Answer: X=1.540(repeating)

8 0
3 years ago
Read 2 more answers
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