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erik [133]
3 years ago
15

The point g (2,2) is translated 3units to the right and 4units up what are the coordinates of this resulting point, g?

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

(5,6)

Step-by-step explanation:

<em>Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;</em>

g(X, Y)  = (x+a, y+b)

To the right is along the positive x axis while up is along the positive y axis

Given a = 3 and b = 4

g(X,Y) = (2 + 3, 2 + 4)

g(X, Y) = (5, 6)

Hence the resulting coordinate of g is (5,6)

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4x – 8(2 - x) when x = 1/4?
Hitman42 [59]

Answer: -13

Step-by-step explanation:

= 4*(1/4) - 8(2-1/4)

= 1-8(7/4)

= 1-14

= -13

6 0
3 years ago
Read 2 more answers
I will make u a brainliest plz help me
satela [25.4K]

Answer: B) Infinitely many solutions; both equations are equivalent

==============================================================

Work Shown:

x+y = 4 ... start with the first equation

x + (-x+4) = 4 ... replace y with (-x+4)

x-x+4 = 4

0x+4 = 4

0+4 = 4

4 = 4 ... this is a true statement regardless of what x you pick

So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.

Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.

6 0
3 years ago
Read 2 more answers
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
3 years ago
Can somebody please help me. I would really appreciate it
laila [671]
90=6x+3x
90=9x
90/9=x
10=x

3x=3*10=30
6x=6*10=60
hope this helped
4 0
3 years ago
Ben bought a digital camera for $90. The tax rate is 6%. Which proportion can be used to find the amount of tax Ben will pay? A.
Radda [10]
(90*.06)(this is the percentage converted to a decimal) this should equal the amount of tax that Ben will pay.

So the answer would be
90*6%

5 0
4 years ago
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