All categories

3 years ago

If the gradient of a line joining the points (-2, 6) and (5, b) is 14. Find the value of b.

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

b = 104

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

14 = b - 6/5-(-2)

14 = b - 6/5+2

14 = b-6/7

Cross multiply

b-6 = 14 * 7

b - 6 = 98

b = 98 + 6

b = 104

You might be interested in

Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7

Lapatulllka [165]

The first equation is $y-2x+1=0$

$y=2x-1$ (Equation 1)

The second equation is $4x^{2}+3y^{2}-2xy=7$ (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

$4x^{2}+3(2x-1)^{2}-2x(2x-1)=7$

$4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7$

by simplifying the given equation,

$12x^{2}-10x-4=0$

$6x^{2}-5x-2=0$

Using discriminant formula,

$D=b^{2}-4ac$

$D=25-4 \times 6 \times -2 = 73$

Now the formula for solution 'x' of quadratic equation is given by:

$x=\frac{-b+\sqrt{D}}{2a} and x=\frac{-b-\sqrt{D}}{2a}$

$x=\frac{5+\sqrt{73}}{12} and x=\frac{5-\sqrt{73}}{12}$

Hence, these are the required solutions.

8 0

3 years ago

I'll give brainlliest to whoever anwsers

postnew [5]

Answer:

Step-by-step explanation:

booom

8 0

3 years ago

NO BULL SH*T REAAAAAAAL A F

Mariulka [41]

The answer is A! 4%

4 0

2 years ago

When 2 pieces of rope are placed end to end the measure 40 meters in length. When the 2 pieces are laid side by side, one is 10

bija089 [108]

30 meters because 40 minus 10 equals 30

5 0

3 years ago

Read 2 more answers

Unendo wishes to maximize the weekly profit of producing and selling the game. Find the price, p, per game that generates maximu

morpeh [17]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

The highest benefit is where the unit benefit equals the marginal income

Marginal price = 17q

Score of income=-0.05q

MC = MR

MC=17

MR =DERIVATIVE OF ( $80q-0.05 q^2$ )

$=80-2 \times 0.05q\\\\=80-0.1q$

$\to MR=MC \\\\$

$80-0.1q=17\\\\80-17= 0.1q\\\\0.1q=63\\\\q= \frac{63}{0.1}\\\\q=630$

Retail prices calculation

$\to P=80-630 \times 0.05$

$=80 -31.5\\\\= 48.5$

7 0

2 years ago