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baherus [9]
2 years ago
14

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

e x-axis?
Mathematics
1 answer:
KatRina [158]2 years ago
6 0

Answer:

(\frac{3}{5} b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - \frac{5}{3} and b = b , thus

y= - \frac{5}{3} x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- \frac{5}{3} x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = \frac{3}{5} b , thus

x- intercept = ( \frac{3}{5} b, 0 )

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Answer:

15

Step-by-step explanation:

5x4=20

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5 0
3 years ago
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1/7f- 5 1/2= 9/14. what is f?
Alex777 [14]
To solve this equation, we have to isolate the variable f, or get it alone on one side of the equation.

1/7f - 5 1/2 = 9/14

To do this, we need to add 5 1/2 to both sides of the equation to 1) cancel out the - 5 1/2 on the left side of the equation, and 2) maintain equality both sides of the equation.

1/7f - 5 1/2 + 5 1/2 = 9/14 + 5 1/2

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Next, we have to divide both sides by 1/7, to get rid of the coefficient of f on the left side of the equation.

1/7f ÷ 1/7 = 6 2/14 ÷ 1/7

f = 43

Therefore, the the value of f is 43.
8 0
3 years ago
Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
mote1985 [20]
16 is the original distance her dance class was from home
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2 years ago
2/3r+4/3p-1/3p= <br> please helpppp
Andru [333]

Answer:

2/3r + p

Step-by-step explanation:

2/3r + 4/3p - 1/3p

combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined

coefficient- the variable that a number is multiplied by

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3 years ago
The area of square ABCD is 7cm².<br> Show that x² + 4x = 3
soldier1979 [14.2K]

Answer:

see explanation

Step-by-step explanation:

The area (A) of a square is calculated as

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Here s = x + 2 and A = 7, thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

4 0
3 years ago
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