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musickatia [10]
3 years ago
10

James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (–4,6). Find the distance between their s

eats. A. 4√ 17 units B. 16 units C. 4√ 2 units D. 4 units
Mathematics
2 answers:
pshichka [43]3 years ago
8 0

Answer:

4√2 units (Answer C).

Step-by-step explanation:

Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units.  We need to use the distance formula to determine how far apart these seats are.

d = √(change in x)^2 + (change in y)^2 ).

That works out to:

d = √(4^2 + 4^2) = √(32) = 4√2 units (Answer C).

Dafna11 [192]3 years ago
6 0

Answer:

c

Step-by-step explanation:

4 Radical 2

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What is the perimeter of triangle ABC ?
blagie [28]

Answer:

9+\sqrt{41}

Step-by-step explanation:

From C-A, it goes from y=1 to y=5, so that 4 units

From A-B, it goes from x = -1 to x = 4, that is 5 units

Now, to find distance from B to C, we need to use the distance formula:

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

Where the variables are the respective points of B and C,

B (4,5) & C(-1,1)

So x_1 =4, y_1=5, x_2=-1, y_2=1

Plugging into the formula we get:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}

Summing it all (perimeter is sum of 3 sides):

Distance = 4+5+\sqrt{41}\\ =9+\sqrt{41}

3rd answer choice is right.

3 0
3 years ago
In the transformation ABC A'B'C', the preimage of B' is ____. . a0
Misha Larkins [42]

Answer:

Pre image of B' is B

Step-by-step explanation:

Given:

ABC is a triangle

A transformation is done on ABC so that the image is A'B'C'.

Note that transformations are of various types such as dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.

In any type of transformation, corresponding vertices will be matched.  In other words, A will become A', B will become B' and C will become C'.

Because of the property of the transformation to keep images similar and also transforming correspondingly the vertices we get preimage of B' would be nothing but B itself.

8 0
3 years ago
Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.
jarptica [38.1K]

Answer:

Standard Form: y = 4(x-1)(x+5)

Step-by-step explanation:

4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)

if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(

5 0
2 years ago
What is the volume of this container?
BabaBlast [244]

Answer:

1253 inches cubed

Step-by-step explanation:

V=L*W*H,so 11*14*7=1078   and 7*5*5=175

175+1078=1253

Mark me brainliest if I helped:D

7 0
3 years ago
Read 2 more answers
I dont know the answer!! I give brainlist...​
iragen [17]

Answer:

A.   (f + g)(1) = - 9

B.    (f - g)(0) = -7

C.    (fg)(3) = 0

Step-by-step explanation:

A.    (f + g)(1) = f(1) + g(1)               f(1) = 1^2 - 9 = 1 - 9 = - 8       g(1) = 1 - 2 = - 1

                    = -8 -1 = -9

B.     (f - g)(0) = f(0) - g(0)             f(0) = 0^2 - 9 = 0 - 9 =  -9      g(0) = 0 - 2 = -2

                      =  -9 + 2 = -7

C.      (fg)(3) = f(3)(g(3)                   f(3) = 3^2 - 9 = 9 - 9 = 0    g(3) = 3 - 2 = 1

                    = 0(1) = 0

4 0
3 years ago
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