4 years ago

How would I find the value of x in this situation?

Mathematics

1 answer:

Dmitrij [34]4 years ago

8 0

These two angles are corresponding angles,
so they are congruent.
12x - 4 = 10x + 10
2x = 14
x=7

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Corey finds a leaf that is 5 cm long. Which measurement is equivalent to 5 cm

Likurg_2 [28]

Hey there!

5 centimeters (aka cm) is equivalent to 50 millimeters (aka mm)

5cm = 50mm

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

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3 years ago

A parabola can be drawn given a focus of (8, 6) and a directrix of x=4 Write the equation of the parabola in any form. Answer:

Alexeev081 [22]

Answer:

The equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

Step-by-step explanation:

Since the directrix is of the $x = a$ , then the equation of the parabola in vertex form is of the form:

$x-h = \frac{1}{4\cdot p}\cdot (y-k)^{2}$ (1)

Where:

$x$ - Dependent variable.

$y$ - Independent variable.

$p$ - Least distance between focus and directrix.

$h$ , $k$ - Coordinate of the vertex.

The least distance between focus and directrix is determined by Pythagorean Theorem:

$p = \sqrt{(8-4)^{2}+(6-6)^{2}}$

$p = 4$

Now, we determine the location of the vertex by the following vectorial formula:

$(h,k) = F(x,y) - (0.5\cdot p, 0)$ (2)

If we know that $p = 4$ and $F(x,y) = (8,6)$ , then the location of the vertex is:

$(h,k) = (8,6) -(2, 0)$

$(h,k) = (6,6)$

And the equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

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3 years ago

A researcher collects demographic data on the marital status of the study subjects. The variable is measured as the number of ye

Ivan

Answer:

Probably "Median"

The mode doesn't really make sense,

and "mean" would probably be skewed by people who get divorced quickly

I would suggest "Median" the number of years that 1/2 of the couples are above and 1/2 below

Step-by-step explanation:

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3 years ago

P(7, - 2); y= 7x+4= 4<br><br><br> PLEASE HELP

Mars2501 [29]

Answer:

x= - 16

Step-by-step explanation:

substitute y=0 then multuply both sides move the variable to the left and change the sign.

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3 years ago

A mountaineer descends a mountain for 5 hours. On average, she climbs down 500 feet each hour. What is her change in elevation a

jenyasd209 [6]

Answer:

2500 feet

Step-by-step explanation:

500*5=2500

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3 years ago