Answer:
b= 14
Explanation:
Let's write the given equation in the form of y= mx +c, so that we can find the gradient of the line, m.
4x -2y= 13
-2y= -4x +13
y= 2x -6½ (divide by -2 throughout)
Thus, the gradient of the given line is 2.
Parallel lines have the same gradient. Hence, gradient of the unknown line is 2.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Substitute the coordinates into the formula above.
[tex]gradient = \frac{b - 2}{5 - ( - 1)} [/tex]
Since we know that the gradient is 2,
[tex] \frac{b - 2}{5 + 1} = 2 \\ \frac{b - 2}{6} = 2 \\ b - 2 = 2(6) \\ b - 2 = 12 \\ b = 12 + 2 \\ b = 14[/tex]
Thus, the value of b is 14.
If 3x + 8 = 23, what is the value of x + 4 ?
Answer:
9
Explanation:
First we solve for x. Subtracting 8 from both sides gives us 3x = 15, therefore x would be 5. Then we plug that into the second question, which gives us 5+4, which is 9.
A bag contains balls that are red, green, or blue. One third of the balls are red, and 2/7 are blue. The number of green balls is eight fewer than the twice the number of blue balls. How many green balls are in the bag?
Answer:
16 green balls
Explanation:
x = total balls in bag
Red = 1/3x
Blue = 2/7x
Green = -8+2(2/7x)
Since these are balls, the answers have to be whole numbers. The equations representing the different colors contain fractions and have denominators 3 and 7. So the total number of balls, represented by x, needs to be a factor of 3 and 7. So I did a trial and error thing here:
First possible common denominator = 21, which is 3x7
We test that there are 21 balls in the bag. Substituting 21 into the equations for red, blue and green we get:
red = 1/3(21) = 7
blue = 2/7(21) = 6
green = -8+2(2/7)(21) = 4
But if you add up the colors: 7+6+4 = 14 which is < 21
So we test another common denominator
Next possible common denominator = 42, which is 3x7x2
So we test that there are 42 balls in the bag. Substituting 42 into the equations for red, blue and green we get:
red = 1/3(42) = 14
blue = 2/7(42) = 12
green = -8+2(2/7)(42) = 16
If you add up the colors: 14+12+16 = 42
three differnet golfers played
Answer:
Rory: 42 strokes per 9 holes
Jordan: 79 strokes per 18 holes
Ricky: 123 strokes per 27 holes
Explanation:
Answer:
nope
Explanation:
because nopeeeeeeeeeeeeeee lol lol lol lol lol
5 the power of b is 125, what will be 5 the power of b minus 3
F(x)=x^2-b. In the function above? b is constant. If F(-2)=7, What is the value of F(b)?
Answer:
so substitute in -2 as x, first do the exponent -2 squared equals 4 then 4-?=7 the answer is -3
Explanation:
-3
if f(x+1)=-1/2x+6, what is the value of f(-3)?
Answer:
8
Explanation:
