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3 years ago

What is the equation for a slope -1 through the point (2,0)?

Mathematics

1 answer:

RUDIKE [14]3 years ago

4 0

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

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What value makes the equation true? 2(x-5)=20

SashulF [63]

2(x-5)=20

Divide both sides by 2 (division of property equality)

x - 5 = 10

Add 5 to both sides (addition of property equality)

x = 15

Answer

x = 15 is the solution

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2 years ago

3 hundred thousand 3 thousand 8 hundred 4 tens

alekssr [168]

Answer:

3384

Step-by-step explanation:

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3 years ago

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?

zheka24 [161]

Answer:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

Step-by-step explanation:

Given

$A = (1,1)$ $B =(2,3)$

$C = (4,3)$ $D = (5,1)$

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

$(x,y)=>(-x,y)$

So:

$A = (1,1)$ $=> A' = (-1,1)$

$B =(2,3)$ $=> B' = (-2,3)$

$C = (4,3)$ $=> C' = (-4,3)$

$D = (5,1)$ $=> D' = (-5,1)$

When a point is translated 2 units down, the rule is:

$(x,y) => (x,y-2)$

So:

$A = (1,1)$ $=> A' = (-1,1)$ $=> A" =(-1,-1)$

$B =(2,3)$ $=> B' = (-2,3)$ $=> B" =(-2,1)$

$C = (4,3)$ $=> C' = (-4,3)$ $=> C" =(-4,1)$

$D = (5,1)$ $=> D' = (-5,1)$ $=> D" =(-5,-1)$

So, the new coordinates are:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

5 0

2 years ago

A) Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: 18

VMariaS [17]

Answer:

a) $-5x^{2}+3x+27$

b) $-5x^{2}+3x+9$

Step-by-step explanation:

a) Let the required polynomial be p(x).

We have the relation, $5x^{2}-3x-9$ + p(x) = 18

i.e. p(x) = 18 $-5x^{2}+3x+9$

i.e. p(x) = $-5x^{2}+3x+27$

b) Let the required polynomial be q(x).

We have the relation, $5x^{2}-3x-9$ + q(x) = 0

i.e. q(x) = 0 $-5x^{2}+3x+9$

i.e. q(x) = $-5x^{2}+3x+9$

3 0

3 years ago

Read 2 more answers

Which one is an expression, which one is an equation, or neither? Picture below

WINSTONCH [101]

Answer:

Check Explanation

Step-by-step explanation:

5b = 25 (equation)

5b (neither)

5(3+4) (expression)

5 0

3 years ago