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1 year ago

11

® Incorrect Which would show that FGHI is a parallelogram? Select all that apply.

1 answer:

Tatiana [17]1 year ago

8 0

Answer:

FGHI is a Parallelogram

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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))

horsena [70]

$\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\$

$\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]$

6 0

1 year ago

An angle measures 40° less than the measure of its supplementary angle. What is the measure of each angle?

Vilka [71]

Step-by-step explanation:

(180-x)-40=X

140 -x=X

140= 2x

x=140/2

x=70

the answer is 70 degree

4 0

1 year ago

Simply the expression by combining like terms.

Marina CMI [18]

Answer:

6z+7

Step-by-step explanation:

5 0

2 years ago

Given that the quadratic equation has equal roots (k^2-1)x^2-2kx-3k-1=0

Alik [6]

Answer:

(See explanation for further details)

Step-by-step explanation:

The real expression is:

$(k^{2}-1)\cdot x{{2} - 2\cdot k \cdot x - 3\cdot k + 1 = 0$

The general equation for the second-order polynomial is:

$x = \frac{2\cdot k \pm \sqrt{4\cdot k^{2}-4\cdot (k^{2}-1)\cdot (-3\cdot k + 1)}}{k^{2}-1}$

This condition must be observed for the case of a quadratic equation with equal roots:

$4\cdot k^{2} - 4\cdot (k^{2}-1)\cdot (-3\cdot k + 1) = 0$

$k^{2} + (k^{2}-1)\cdot (3\cdot k + 1) = 0$

$k^{2} + 3\cdot k^{3} - 3\cdot k - k^{2}-1 = 0$

$3\cdot k^{3} - 3\cdot k - 1 = 0$

7 0

2 years ago

Identify the solution of the system of equation<br> 2x+4=0<br> Y=5-3x

nexus9112 [7]

$2x+4=0\\
y=5-3x\\\\
2x=-4\\
y=5-3x\\\\
x=-2\\
y=5-3x\\\\
y=5-3\cdot(-2)\\
y=5+6\\
y=11\\\\
x=-2,y=11$

5 0

2 years ago

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