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3 years ago

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Mathematics

1 answer:

Anna [14]3 years ago

4 0

Answer: 17

EXPLANATION: Today vice presidents serve as principal advisors to the president, but from 1789 until the 1950s their primary duty was to preside over the Senate. Since the 1830s, vice presidents have occupied offices near the Senate Chamber. Over the course of the nation’s history, the vice president’s influence evolved as vice presidents and senators experimented with, and at times vigorously debated, the role to be played by this constitutional officer.

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The perimeter of a triangular plot of land is 2400ft . the longest side is 200 ft less than twice the shortest. the middle side

Lisa [10]

I'm not certain but I'm pretty sure it's 1000+600+800=2400
T=1000= the longest side
S=1/2 (t+200)=600= shortest side
M=t-200=800=middle side.

3 0

3 years ago

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

3 years ago

This morning, Carmen's car had 29.03 gallons of fuel. Now, 2.9 gallons are left. How much fuel did Carmen use?

ankoles [38]

Answer:

I hope my answer is right but im pretty sure its 26.13 :)

Step-by-step explanation:

6 0

3 years ago

Solve for m:<br> -5(m - 3) + 6 = 2(m - 5)

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

-5(m - 3) + 6 = 2(m - 5)

<u>Expand the terms in the bracket</u>

That's

- 5m + 15 + 6 = 2m - 10

- 5m + 21 = 2m - 10

<u>Subtract 2m from both sides</u>

- 5m - 2m + 21 = 2m - 2m - 10

- 7m + 21 = - 10

<u>Subtract 21 from both sides</u>

That's

- 7m + 21 - 21 = - 10 - 31

- 7m = - 31

<u>Divide both sides by - 7</u>

We have the final answer as

Hope this helps you

4 0

3 years ago

PLSS HELP IM TIMED PLS HELPP

Advocard [28]

Answer:

The answer is 9

Step-by-step explanation:

5 0

3 years ago

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