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Anton [14]
3 years ago
15

What is the area of a triangle whose vertices are G(−1, 2), H(5, 2) and K(8, −3)

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

the area is 15

steps:

a=1/2bh

a=1/2(5)(6)

a=1/2(30)

a=15

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What’s the equation for the order pairs (1,-5) and (-2,5)
liq [111]

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})\qquad
(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-5)}{-2-1}\implies \cfrac{5+5}{-2-1}\implies \cfrac{10}{-3}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-(-5)=-\cfrac{10}{3}(x-1)\implies y+5=-\cfrac{10}{3}x+\cfrac{10}{3}
\\\\\\
y=-\cfrac{10}{3}x+\cfrac{10}{3}-5\implies y=-\cfrac{10}{3}x-\cfrac{5}{3}

6 0
3 years ago
What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​
miv72 [106K]

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0
3 years ago
Which expression is not a polynomial?
Nezavi [6.7K]

Answer:

D.

Step-by-step explanation:

A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.

The only thing that can be done with variables in a polynomial is to multiply them by numbers or other variables. In a polynomial, you cannot: divide by a variable (have a variable in a denominator), have a root of a variable, have a log of a variable, have a variable as an exponent, etc.

All expressions are polynomials except for D. In D., the negative exponents mean division by variables.

7 0
3 years ago
Estimate the perimeter, and also please show your work!
jeka57 [31]

Answer:

You can also just find the area and times that by 4

If you want I can do that, just spam tell me  and I'll figure the area out and tell u the answer in comments.

Step-by-step explanation:

7 0
2 years ago
KMZ~ KDH; find z.<br> F<br> 21<br> D<br> 6x + 3<br> E 17<br> G<br> 8x-1<br> C
Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0
3 years ago
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