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Ann [662]
3 years ago
8

Factoring quadratic expressions with leading coefficient 1

Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

It is a letter with ^ before the expression.

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Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)
Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

In triangle ABC:

|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2    }=\sqrt{45}

In triangle MNO:

|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2    }

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8

Hence O = (4, 8)

3 0
3 years ago
Solve <br> S = 2πr(h + r) for h
Margarita [4]

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

6 0
3 years ago
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

    (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0
3 years ago
X is a normally distributed random variable with mean 46 and standard deviation 22.
stiv31 [10]

Step-by-step explanation:

85 is the answer you are looking for

4 0
2 years ago
Translations and transformations mastery test
Angelina_Jolie [31]

Answer:

so ....where is the question?

3 0
3 years ago
Read 2 more answers
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