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olasank [31]
3 years ago
13

Find the corrdinates of the missing endpoint if e is the midpoint of DF F(2’9) e(-1,6)

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0

Step-by-step explanation:

Using vectors

DE = EF

e - d = f - e

Collect like terms

-d = f - 2e

Multiply both sides by -1

d = 2e - f

d = 2(-1,6) - (2,9)

d = (-2,12) - (2,9)

d = (-4,3)

This is the missing endpoint.

Hope this helps :-)

svp [43]3 years ago
3 0

Answer:

<em>(-4,3)</em>

Step-by-step explanation:

(x1 + 2)/2 = -1

x1 = -4

(y1 + 9)/2 = 6

y1 = 3

So, the other endpoint is <em>(-4,3)</em> .

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Write down value of x
allsm [11]

Answer:

x = 65°

y = 71°

z = 44°

Step-by-step explanation:

  • Value of x: 65
  • Reason: the angle x is opposite to the 65° angle, this means that these two angles are congruent, thus they have the same value.

  • Value of y: 71°
  • Reason: the angle y is congruent to the angle of 71 ° this because if we lengthened the lines (similar to that shown with the angles x and 65 °) we will notice that the angle opposite to y is  71 ° and therefore y is also equal to 71 °

  • Workout the size of angle z:

The sum of the interior angles in a triangle is always equal to 180 °, in this case the interior angles are x, y and z. Since we already know the values of x and y, we can find z by adding the values and equaling 180°:

65° + 71° + z = °180

and we solve for z:

136° + z = 180°

z = 180° - 136°

z = 44°

3 0
3 years ago
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The slope intercept form of a linear equation is y=my+b where x and y are coordinates of an ordered pair , m is the slope of the
kenny6666 [7]
I would help you but, i do not know the answer.
6 0
3 years ago
Please help me with algebra 2 questions!
Julli [10]

Answer:

5B; 7B; 1,024; see answer

Step-by-step explanation:

5.

We can see from the table that

a1 = 5

a2= 5·2 = 10

a3= 5·2·2 = 5·2² = 20

a4 = 5·2·2·2 = 5·2³ = 40

...

a_{n} = 5*2^{n-1}

7.

Is given that the filter removes 90% of contaminated air

after run 1 :

100% air

90% contamination removed for 100% air

100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%

10% is still contaminated air

after run 2:

10% air

90% contamination removed for 10% air

10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%

1% is still contaminated air

after run 3:

1% air

90% contamination removed for 1% air

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11.

Figure 1 = 1 piece

Figure 2 = 4 pieces

Figure 3 = 4² = 16

...

Figure 6 = 4^{(6-1)} = 4^{5} = 1024

12.

(c+d)^{6} \\

-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1

-we start with c to the lowest power 0 and d to the highest power 6  and end with  d to the lowest power 0 and c to the highest power 6

(c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}

-we simplify to have the final answer:

(c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}

7 0
2 years ago
Geometry Question Need Help. Solve for x:
diamong [38]

Answer:

im not sure

Step-by-step explanation:

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3 years ago
What’s the graph function f(x) =4(1.5)^x
WARRIOR [948]

Answer:

See below.

Step-by-step explanation:

Step 1. Find any zeroes.

(a) <em>y-intercept </em>

y = 4(1.5)^x     Let x = 0

  = 4(1.5)⁰

  = 4 × 1

  = 4

We have a <em>point at (0,4)</em>.

(b) <em>x-intercept </em>

    y = 4(1.5)^x     Let y = 0

    0 = 4(1.5)^x     Divide each side by 4

    0 = (1.5)^x        Take the log of each side

log0 = xlog1.5

log(0) is undefined. There is <em>no x-intercept. </em>

Step 2. Identify any asymptotes

y<em> </em>= 4(1.5)^x

y can never be negative, so the <em>x-axis is an asymptot</em>e.

Step 3. Plug in and plot a few points

Here's a table of a few points.

<u>  x      y   </u>

-6     0.4

-4     0.8

-2     1.8

-1     2.7

0    4.0

1     6.0

2    9.0

4  20.3

6  45.6

Step 4. Check the end behaviour.

y = 4(1.5)^x

As x ⟶ ∞, y ⟶ ∞.

As x ⟶ -∞, y ⟶ 0 .

Step 5. Draw a smooth line through the points.

Your graph should look something like the one below.

6 0
4 years ago
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