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Ugo [173]
1 year ago
15

Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"

Mathematics
1 answer:
shusha [124]1 year ago
4 0
Answer: 5p - 4

5 times ‘p’ = 5p
4 less than ‘p’ = p - 4

Therefore,
=> 5p - 4
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What is the following product?
KiRa [710]

ANSWER

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

EXPLANATION

The given product is:

( \sqrt{14}  -  \sqrt{3} )( \sqrt{12} +  \sqrt{7}  )

We expand using the distributive property to obtain:

\sqrt{14}( \sqrt{12} +  \sqrt{7}) -\sqrt{3}( \sqrt{12} +  \sqrt{7}  )

Extract the perfect squares to get:

\sqrt{14}(2 \sqrt{3} +  \sqrt{7}) -\sqrt{3}( 2\sqrt{3} +  \sqrt{7}  )

Expand further to get;

2 \sqrt{42} +7  \sqrt{2}- 2(3)   - \sqrt{21}

This simplifies to,

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

5 0
3 years ago
A right triangle has legs of lengths 8 and 15.
nalin [4]

Answer:

15

Step-by-step explanation:

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3 0
3 years ago
Applying the Third Corollary to the Inscribed Angles Theorem A circle is shown. Points A, B, C, and D are on the circle. Lines c
Marat540 [252]

Answer:

  • ∠B = 110°
  • ∠D = 70°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  ∠B +∠D = 180°

  (3x -4) +(2x -6) = 180

  5x = 190 . . . . . . . . . . . add 10, collect terms

  x = 38 . . . . . . . . . . . . . divide by 5

  ∠D = 2(38) -6 = 70

  ∠B = 180 -70 = 110

The measures of angles B and D are 110° and 70°, respectively.

8 0
3 years ago
Greatest to least <br> 5,-12/16,9/36,-23/35
Ksenya-84 [330]

Answer:

5, 9/36, -12/16, -23/35

Explanation:

Convert to decimals then rearrange.

6 0
2 years ago
Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2
Elis [28]

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

6 0
2 years ago
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