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Sonja [21]
3 years ago
6

HELP ME PLEASE I WILL GIVE BRAINLIEST FOR BOTH PARTS PLEASE HELP

Mathematics
1 answer:
Katen [24]3 years ago
5 0
For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)

The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)

Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
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If the measures of two angles of a triangle are 95 and 14°, what is the measure of the third angle?​
marin [14]

Answer:

71°

Step-by-step explanation:

95° + 14° = 109°

180° in a triangle

180° - 109° = 3rd angle = 71 °

3 0
2 years ago
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What is the square root of 30? round to the nearest tenth
Feliz [49]

Answer:

5.5

Step-by-step explanation:

5.477

Rounded to the nearest tenth it will be

5.5

5 0
3 years ago
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Let f = (ax + by + 4z) i + (x + cz) j + (9y + mx) k where a, b,c, and m are constants.
Tom [10]
Let \mathcal R be an arbitrary closed region with boundary the surface \mathcal S. By the divergence theorem,

\displaysytle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV

We have

\nabla\cdot\mathbf f(x,y,z)=\dfrac{\partial(ax+by+4z)}{\partial x}+\dfrac{\partial(x+cz)}{\partial y}+\dfrac{\partial(9y+mx)}{\partial z}=a

so that the flux satisfies

\displaystyle a\iiint_{\mathcal R}\mathrm dV=0

We're assuming \mathcal R is a closed region, and the integral above is its volume, which must be positive. This means we must have a=0.
7 0
3 years ago
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10? (5 points)
horsena [70]
Log(4^x)=log(64)
xlog4=log64
x=(log64)/(log4)
7 0
3 years ago
The Mercury Freedom 7 weighed about 2,400 pounds.It flew in 1961.The Gemini 7 capsule,which flew in 1965,weighed about 37.5% mor
denpristay [2]

Answer:

  3300 lb

Step-by-step explanation:

The multiplier for weight is 1 +37.5% = 1.375 = 11/8. The Gemini capsule weighed about ...

  (11/8)(2400 lb) = 3300 lb

5 0
3 years ago
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