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Alchen [17]
3 years ago
8

Is this the correct answer? Please someone help!!!

Mathematics
2 answers:
nignag [31]3 years ago
6 0

Answer:

yes same slope

Step-by-step explanation:

Whitepunk [10]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

same slope

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A board is 48 in long. It must be divided into 4 pieces of equal length, and each cut will cause a waste of 3/16 in. How long wi
NISA [10]

Answer:

12 pieces

Step-by-step explanation:

Total length of the board = 48 in

It must be divided into 4 pieces of equal length

This means, there will be 3 cut to have 4 pieces

Each cut will cause a waste of 3/16 in.

Total waste = 3 cut × 3/16 in

= (3*3)/16

= 9/16 in

Length of board remaining = Total length of the board - Total waste

= 48 - 9/16

= (768-9)/16

= 759/16 in

How long will each piece be after the cuts are made?

Length of each piece after the cut = Length of board remaining / 4

= 759/16 ÷ 4

= 759/16 × 1/4

= 759/64

= 11.859375

Approximately 12 pieces to the nearest whole number

7 0
3 years ago
Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
patriot [66]

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

 (y - 2)²  - 8   = 2x

\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

8 0
3 years ago
The vertices of xyz are x (1,-4)
dexar [7]

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

#5

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

#6

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

6 0
3 years ago
In △ABC, angle C is a right angle and BC &gt; AC. Select all the statements that are true.
Alexus [3.1K]

△ABC  right angle C, leg BC > leg AC.  So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer:  B, E

7 0
3 years ago
Please help with this question
Lisa [10]

Answer:

B

Step-by-step explanation:

Any number, regardless of its sign, raised to an even power will always be positive. Therefore, a⁷² will be positive. We know that -3/7 is negative, and since a positive times a negative is negative, the answer will be negative.

7 0
3 years ago
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