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Gemiola [76]
2 years ago
13

Pls help me answer thiss. I really really need help! thank u

Mathematics
1 answer:
jeyben [28]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

the centroid is where the medians intersect.

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

(3)

GF = \frac{1}{2} CG = \frac{1}{2} × 14 = 7

CF = CG + GF = 14 + 7 = 21

(4)

GD = \frac{1}{3}  AD = \frac{1}{3} × 45 = 15

AG = 2 × GD = 2 × 15 = 30

(5)

GE = 2 × BG , that is

9x = 2(3x + 6) = 6x + 12 ( subtract 6x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

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Can someone help me with this??
Aloiza [94]
<span>–6(x – 2y) when x = –3 and y = –5
so
</span><span>–6(x – 2y) 
= </span><span>–6(-3 – 2(-5))
= -6(-3 + 10)
= -6(7)
= -42

answer
</span><span>A. -42</span>
4 0
3 years ago
Solve for k.<br><br> 12k − 4k = 8
egoroff_w [7]

K=1

Hope this Helps

-Dante

6 0
3 years ago
Read 2 more answers
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
3 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 + 3x - 5= 0
Charra [1.4K]

Answer:

\large\boxed{x\approx-4.19\ \vee\ x\approx1.19}

Step-by-step explanation:

x^2+3x-5=0\qquad\text{add 5 to both sides}\\\\x^2+3x=5\\\\x^2+2(x)(1.5)=5\qquad\text{add}\ 1.5^2=2.25\ \text{to both sides}\\\\x^2+2(x)(1.5)+1.5^2=5+2.25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1.5)^2=7.25\Rightarrow x+1.5=\pm\sqrt{7.25}\\\\x+1.5\approx\pm2.69\\\\x+1.5\approx-2.69\ \vee\ x+1.5\approx2.69\qquad\text{subtract 1.5 from both sides}\\\\x\approx-4.19\ \vee\ x\approx1.19

6 0
3 years ago
Which table represents a direct variation?
Galina-37 [17]

Answer:  Table B is a direct variation.

Step-by-step explanation:

Table A contains data that fits the expression y = x+3.  This is not a direct variation.  The ratio of x and y is not a constant.  Table B matches the expression y = 3x.  This is a direct variation.  Table C can be expressed as y = x - 3.  This is not a direct variation, for the same reason as Table A.

8 0
3 years ago
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