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dimaraw [331]
3 years ago
9

= Knowledge Check

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

Slope is -3.

Step-by-step explanation:

The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.

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Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.
Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}

similarly, we can find the distance BP

BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

since both distances are exactly the same we can equate them

AP = BP

\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0
3 years ago
I needddd helppp pleasee
Ira Lisetskai [31]

Answer:

X=66°

Step-by-step explanation:

Because it is an isosceles triangle, the 2 missing angles are going to be the same size.

Subtract  48 from the total degree of the triangle which is 180.

180-48= 132

now you di ed that by 2 and you’ll know the missing angle.

132/2= 66

5 0
3 years ago
Read 2 more answers
Mhanifa please help asap! I will mark brainliest!
PIT_PIT [208]

Answer:

(6)

<u>Isosceles trapezoid</u>

  • ∠R and ∠S are supplementary
  • ∠S≅∠T, ∠R≅∠V
  • m∠S = m∠T = 54°
  • m∠R = 180° - 54° = 126°

(9)

<u>Midsegment is half the sum of the base lengths</u>

  • ST = 1/2(FP + EQ)
  • 3.1 = 1/2(2.7 + EQ)
  • 2.7 + EQ = 6.2
  • EQ = 6.2 - 2.7
  • EQ = 3.5

3 0
3 years ago
What is the answer to 3/4 divided by 9/10
meriva
The answer is <span>0.00833333333</span>
3 0
3 years ago
Read 2 more answers
What is the difference between arctan and inverse tan?
boyakko [2]
Hello,
It is not the same function.

arctan (tan(x))=x

1/tan(x) * tan(x)=1

in the file jointed,
 arctan x is in blue
1/tan x in red.

5 0
3 years ago
Read 2 more answers
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