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Mrac [35]
3 years ago
5

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right

angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

see the picture

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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions calulator?
fgiga [73]

Answer:

Degree = 4

Step-by-step explanation:

For the given conditions:

n = 4

i and 5i are zeros

f(-2) = 145

For zeros, it means they are a quadratic factor of the expression

It means, we will have x = ± i and x = ± 5i

therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)

Hence, we have the function

given degree = 4

f(x) = a(x-i)(x+i)(x-5i)(x+5i)

f(x) = a(x² + 1)(x² + 25)

Hence, substituting -2 for x, we have

f(-2) = a(5)(29) = 145

Hence, a = 1

f(x) = x⁴ + 26x² + 25

Therefore, we can see that the given degree = 4

3 0
4 years ago
5x + 7y = 25<br> 5x - 2y = -65<br> solve using elimination<br> (step by step please)
aliina [53]

5x+7y=25

5x-2y=-65

subtract both of the equations

5x-5x=0

7y--2y= 7y+2y=9y

25--65=25+65=90

0+9y=90

9y=90

divide both sides by 9 to get y by itself

9y/9=90/9

cross out 9 and 9 which becomes 1*1*y=y

90/9=10

y=10

find x by using the substitution method

5x+7y=25

5x+7(10)=25

5x+70=25

move +70 to the other side

sign changes from +70 to -70

5x+70-70=25-70

5x=-45

divide both sides by 5 to get x by itself

5x/5=-45/5

cross out 5 and 5 then becomes 1*1*x=x

-45/5=-9

x=-9

answer:

(-9,10)

6 0
3 years ago
Beth is writing out the steps using the "Shortest Route Algorithm". She just finished writing out all
JulijaS [17]

Answer:

ACBD; 7

Step-by-step Explanation:

The Route Algorigtm finds the short route that is efficient, in order to find the solution following pathways.

From the pictures from the complete question,

STEP #1, there exist, three routes, which are:

AB

AC,

and AD.

*AB is not viable because of the negative distance, so it can be removed .

* the AC distance is 3,and AD distance is 8. Therefore, AC can be selected and circled.is because of AC efficiency is high compare to AD.

*from selected AC, the possible routes are ACB; 3 and ACE; 6. which are route shown in #2

* ACB is circled, because it's more shorter than ACE

*The possible routes are ACBE; 8 and ACBD; 7. which are route shown in #3 . Therefore, route ACBD is circled because it's more shorter.

From the analysis of the algorithm, the route ACBD route is the shortest and the most efficient

5 0
3 years ago
MATH PLEASE HELP MAD POINTS
ELEN [110]
6 points on the graph.
6 0
3 years ago
In the rhombus m&lt;1 =160. What are m&lt;2 and m&lt;3? The diagram isn't drawn to scale
Zolol [24]
A rhombus is a parallelogram with four equal sides and two sets of equal angles.

If the m<1=160°, then the angle opposite (3) would also be 160°.

m<3=160°.

Becuase it is a parallelogram, the sum of the measurment of two angles that share a line would be 180 (supplementary).

m<2 and m<4 is 20°.
5 0
3 years ago
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