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3 years ago

Find the value of y.

Mathematics

2 answers:

Serggg [28]3 years ago

4 0

for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length

Sveta_85 [38]3 years ago

4 0

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

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What is the equation of a line perpendicular to:

Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

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so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

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3 years ago

Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9

Talja [164]

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

$a^2+b^2=c^2$

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

$c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82$

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

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Elza [17]

Hey there,

Your question states: <span>Four points are always coplanar if . . .

Your correct answer from the questions above would be </span>they lie in the same place

The definition of the word $\boxed{coplanar}$ means : In the same place.

So . .Four points are always coplanar if <span>they lie in the same place.

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