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rosijanka [135]
3 years ago
8

Answer of a ²-10a+16-6b-b^2​

Mathematics
1 answer:
german3 years ago
5 0

\quad a^2-10a+16-6b-b^2

$=(a^2-10a)-(b^2+6b) +16$

$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$

$=(a-5)^2-25-(b+3)^2+9+16$

$=(a-5)^2-(b+3)^2$

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Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle
dusya [7]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the diagram of coordinates of the three triangles are not given.

A general explanation is as follows:

First, record the coordinates of the corresponding points of the three triangles.

For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.

Now, assume the coordinates are:

A = (1,1)

D = (1,5)

G= (-2,1)

Point D is 4 points to the right of A;

i.e.

D =(1,1+4) = (1,5)

Hence, ABC will be moved 4 units right to lie on DEF

Similarly, point G is 3 units down of A

i.e.

G =(1-3,1) = (-2,1)

Hence, ABC will be moved 3 units down to lie on GHI.

5 0
3 years ago
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spin [16.1K]
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3 0
3 years ago
The Length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 408cm. Find the l
salantis [7]

Answer:

The length of the case is 24 cm and its width is 17cm.

Step-by-step explanation:

The Length of a standard jewel case is 7cm more than its width.

Let the length be represented by L and the width be represented by W, this means that:

L = 7 + W

The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:

A = L * W

Since L = 7 + W:

A = (7 + W) * W = 7W + W²

The area is 408 cm², hence:

408 = 7W + W²

Solving this as a quadratic equation:

=> W² + 7W - 408 = 0

W² + 24W - 17W - 408 = 0

W(W + 24) - 17(W + 24) = 0

(W - 17) (W + 24) = 0

=> W = 17cm or -24 cm

Since width cannot be negative, the width of the case is 17 cm.

Hence, the length, L, is:

L = 7 + 17 = 24cm.

The length of the case is 24 cm and its width is 17cm.

4 0
3 years ago
Is a triangle with the side lengths 28,20,19 a right triangle
vova2212 [387]

Answer:

No

Step-by-step explanation:

plug the numbers into Pythagorean theorem

c^2 =a ^2 + b^2

28^2 = 20^2 + 19^2

784 = 400+361

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No its not

4 0
3 years ago
Read 2 more answers
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ira [324]

F(h+9)

Mutiply the bracket by F

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Answer : Fh +9F or 9F+Fh

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3 years ago
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