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marysya [2.9K]
3 years ago
14

Help a brother out!!! Math prom worth 20!! And explain please

Mathematics
1 answer:
Reil [10]3 years ago
5 0
A.

ratio 1 to 1

alright
find the distance between the x values and the y values and seperate each into that ratio
1:1
A to B is (6,12) to (15,-4)
disatnce from 6 to 15 is 9, ratio would be 4.5:4.5=1:1
distance from 12 to -4 is 16, ratio would be 8:8=1:1
so the point would be (4.5,8)




b.
5:2
5+2=7
alright
A to C
(6,12) to (20,12)
distance from 6 to 20 is 14, 14/7=2, 2 times 5=10
distance from 12 to 12=0, so same coordinate
the point is (10,12)


c.
2+3=5

C to B
C is (20,12) and B is (15,-4)
distance from 20 to 15 is 5, so 2 is the x value
distance from 12 to -4 is 16, 16/5 times 2=32/5
the point is (2,32/5)
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Does 8, 10, 6 form a right triangle
loris [4]

Answer:

no

Step-by-step explanation:

8, 10, 6

10 - 8 = 2

2 + 6 = 8

8 0
3 years ago
Rewrite the following equation in slope-intercept form. 14x + 15y = 11 Write your answer using integers, proper fractions, and i
Goshia [24]
Answer:
y = (-14/15) x + (11/15)

Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
14x + 15y = 11

To put this in slope-intercept form, we will need to isolate the y as follows:
14x + 15y = 11
15y = -14x + 11
y = (-14/15) x + (11/15)
were:
m is the slope = -14/15
c is the y-intercept = 11/15

Hope this helps :)

3 0
3 years ago
Read 2 more answers
The dot plot below represents this set of data:
Sloan [31]

Answer:

True

Step-by-step explanation:

All of them match up

5 0
3 years ago
In an arithmetic series a1= -14 and a5=30 find the sum of the first 5 terms
Oxana [17]

The sum of the 5 terms in the arithmetic series is 40.

Step-by-step explanation:

Step 1;  First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.

Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.

Step 2; To find out the terms we just add the difference to the previous number.

a1 = -14.

a2 = -14 + 11 = -3.

a3 = -3 + 11 = 8.

a4 = 8 + 11 = 19.

a5 = 19 + 11 = 30.

So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.

5 0
3 years ago
Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=
vodka [1.7K]

Answer:

The general form of the equation for the orbit of the satellite is x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16.

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0 Given

2) (x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) (x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) (x+4)^{2}+(y+1)^{2} = 4900 Square perfect trinomial/Result

According the result, the center of Earth is C(x,y) = (4, 1) and the square of the radius of Earth equals 4900. That is: r = 70

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

(x+4)^{2}+(y+1)^{2}=70.4^{2}

(x+4)^{2}+(y+1)^{2} = 4956.16

Now we transform this into its general form:

1) (x+4)^{2}+(y+1)^{2} = 4956.16 Given

2) x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16 Square perfect trinomial

3) x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16.

6 0
3 years ago
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