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Setler [38]
3 years ago
15

Write a join problem that can be solved by 5/3 - 2/5

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

1 \frac{4}{15}

Step-by-step explanation:

\frac{5}{3}  -  \frac{2}{5}  \\  =  \frac{25}{15}  -  \frac{6}{15}  \\  =  \frac{19}{15} \\  = 1 \frac{4}{15}

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D is the midpoint of AC. If AD = 2x + 6 and DC = 4x-7, what is the length of DC?
DENIUS [597]
A----------D----------C

AD = 2x + 6
DC = 4x - 7

the midpoint D splits AC into 2 equal parts....therefore, AD = DC

2x + 6 = 4x - 7
2x - 4x = -7 - 6
-2x = - 13
x = -13/-2
x = 6.5 

DC = 4x - 7......4(6.5) - 7 = 19 <===
AD = 2x + 6.....2(6.5) + 6 = 19
4 0
3 years ago
Find the equation of the line passing through point (4,2) and perpendicular to AB
Setler [38]

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3}

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

5 0
2 years ago
6+7=10<br>13+8=18<br>32+21=32<br>11+34=0<br>31+03=?​<br>process please
Stella [2.4K]

Answer:

6+7=13

13+8=21

32+21=52

11+34=46

31+03=34

Step-by-step explanation:

im not sure in the 31+03

4 0
2 years ago
The sum of 8 times a number and 5 is equal to 3
saw5 [17]
8x+5=3
8x=3-5
8x=-2
X=-1/4
5 0
3 years ago
Read 2 more answers
Simplify completely.<br> (2 + 3i) + (-4+i)
Aleksandr-060686 [28]

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

7 0
3 years ago
Read 2 more answers
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