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Dafna1 [17]
3 years ago
8

Someone help me asap please.

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

15. x ≤ -24

    x + 19 ≤ -5

    x ≤ -24

16. z > -12

    3z > -36

    z > -12

17. 185 + c > 410; c > 225


18.   C.

    x - 6 ≥ 1

    x ≥ 7

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Raj tested his new flashlight by shining it on his bedroom wall. The beam of light can be described by the equation . How many i
Molodets [167]

Answer:

12 inches

Step-by-step explanation:

Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall

Solution

Given:

(x^2-2x) + (y^2-4y) - 31=0

By completing the square

(x^2-2x) + (y^2-4y) - 31=0

(x^2-2x+1-1) + (y^2-4y+4-4)-31=0

(x-1)^2 -1 + (y-2)^2 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 36=0

(x-1)^2 + (y-2)^2=36

Writing the equation in the form: (x-h)^2+(y-k)^2=r^2

(x-1)^2+(y-2)^2=6^2

From the above, r=6

Where,

r=radius

how wide is the diameter ?

radius=6

Diameter= 2 × radius

=2×6

=12 inches

6 0
3 years ago
Find the measure of arc JK.
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Step-by-step explanation:

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Add or subtract the following mixed numbers using the first method. (Add the whole numbers; add the fractions; combine the parts
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Answer:

6 19/24

Step-by-step explanation:

First, we make the denomanators the same

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Next, we add

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Minchanka [31]

Answer:

\boxed{\sf -\dfrac{5}{8}}

Use BODMAS rule,

where:

  • brackets
  • order
  • division
  • multiplication
  • addition
  • subtraction

Given expression:

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{4} \right)^2]

simplify exponent

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{16} \right)]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{14}{16}]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{32}{8} -\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{25}{8}]

multiply fractions

\rightarrow \sf -\dfrac{25}{40}

\rightarrow \sf -\dfrac{5}{8}

8 0
2 years ago
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Draw line AB, line CD and line EF with line AB parallel to line CD and line CD perpendicular to line EF.
lorasvet [3.4K]

Answer:

Step-by-step explanation:

line AB, line CD and line EF

line AB parallel to line CD

line CD perpendicular to line EF.

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