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2 years ago

Solve for p. 2(p + 1) = 18

Mathematics

1 answer:

n200080 [17]2 years ago

7 0

Answer:

p = 8

Step-by-step explanation:

Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.

Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16 = 2(p - 8).

This would leave you with 2= 0, but that's not true so continue on to the variable.

So p - 8= 0 making the answer p = 8

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Measure of missing angle

Debora [2.8K]

Answer:

44 degrees.

Step-by-step explanation:

Since angle A is 46 degrees, and angle C is 90 degrees (because of the right angle) you add 46 and 90 (you get 136) then subtract it from 180 (since every triangle equals 180 degrees) which gets you to 44 degrees.

8 0

2 years ago

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Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at

Oksanka [162]

a) The points of the new quadrillateral are $A'(x,y) = (0, 2)$ , $B'(x,y) = (-1, -2)$ , $C'(x,y) = \left(-3,-2\right)$ and $D'(x,y) = (-4, -1)$ , respectively.

b) The points of the new quadrillateral are $A'(x,y) = (-5, 5)$ , $B'(x,y) = (-8,-7)$ , $C'(x,y) = (-13, -7)$ and $D'(x,y) = (-17, -4)$ , respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

$P'(x,y) = k\cdot P(x,y)$ (1)

Where:

$P(x,y)$ - Original point
$P'(x,y)$ - Dilated point.

If we know that $k = \frac{1}{3}$ , $A(x,y) = (0,6)$ , $B(x,y) = (-3,-6)$ , $C(x,y) = (-9, -6)$ and $D(x,y) = (-12, -3)$ , then the new points of the quadrilateral are:

$A'(x,y) = \frac{1}{3}\cdot (0,6)$

$A'(x,y) = (0, 2)$

$B'(x,y) = \frac{1}{3} \cdot (-3,-6)$

$B'(x,y) = (-1, -2)$

$C'(x,y) = \frac{1}{3}\cdot (-9,-6)$

$C'(x,y) = \left(-3,-2\right)$

$D'(x,y) = \frac{1}{3}\cdot (-12,-3)$

$D'(x,y) = (-4, -1)$

The points of the new quadrillateral are $A'(x,y) = (0, 2)$ , $B'(x,y) = (-1, -2)$ , $C'(x,y) = \left(-3,-2\right)$ and $D'(x,y) = (-4, -1)$ , respectively. $\blacksquare$

b) A translation along a vector is defined by following operation:

$P'(x,y) = P(x,y) +T(x,y)$ (2)

Where $T(x,y)$ is the transformation vector.

If we know that $T(x,y) = (-5,-1)$ , $A(x,y) = (0,6)$ , $B(x,y) = (-3,-6)$ , $C(x,y) = (-9, -6)$ and $D(x,y) = (-12, -3)$ ,

$A'(x,y) = (0,6) + (-5, -1)$

$A'(x,y) = (-5, 5)$

$B'(x,y) = (-3, -6) + (-5, -1)$

$B'(x,y) = (-8,-7)$

$C'(x,y) = (-9, -6) + (-5, -1)$

$C'(x,y) = (-13, -7)$

$D'(x,y) = (-12,-3)+(-5,-1)$

$D'(x,y) = (-17, -4)$

The points of the new quadrillateral are $A'(x,y) = (-5, 5)$ , $B'(x,y) = (-8,-7)$ , $C'(x,y) = (-13, -7)$ and $D'(x,y) = (-17, -4)$ , respectively. $\blacksquare$

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

7 0

2 years ago

1 4/5+ 2 2/3=what<br><br> 5 7/8 - 3 1/2=what<br> 1 1/2+ 3 1/5=what<br> 7 5/6- 5 1/2=what

lilavasa [31]

Answer:

1.) 4 7/15

2.) 2 3/8

3.) 4 7/10

4.) 2 1/3

Step-by-step explanation:

1.) 1 4/5 + 2 2/3

3 + 4/5 + 2/3

LCD = 15

3 + 12/15 + 10/15

3 + (12 + 10)/15

3 + 22/15

3 + 1 7/15

4 7/15

2.) 5 7/8 - 3 1/2

(5 x 8 + 7)/8 - 3 1/2

47/8 - 3 1/2

47/8 - (3 x 2 + 1)/2

47/8 - 7/2

LCD = 8

47/8 - 28/8

19/8

2 3/8

3.) 1 1/2 + 3 1/5

4 + 1/2 + 1/5

LCD = 10

4 + 5/10 + 2/10

4 + (5 + 2)/10

4 7/10

4.) 7 5/6 - 5 1/2

(7 x 6 + 5)/6 - 5 1/2

47/6 - 5 1/2

47/6 - (5 x 2 + 1)/2

47/6 - 11/2

LCD = 6

47/6 - 33/6

(47 - 33)/6

14/6

7/3

2 1/3

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2 years ago

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Wyd? Can u help with these plz

N76 [4]

Answer:

Step-by-step explanation:

what you need to do is look at the question again it say 10 feet above sea level and the other one is 7 feet below sea level. now read your question again hope you find the answer good luck

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2 years ago

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Brianna has 0.15 liter of a liquid. She will use 0.4 of this liquid. How many liters will she use?

alukav5142 [94]

Answer: 0.0375

Step-by-step explanation:

0.15 divided by 4 = 0.0375

4 0

2 years ago