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3 years ago

Write an equation in slope-intercept form (y = mx + b).

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

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Roblem #7

gtnhenbr [62]

Answer:

no solution.

Step-by-step explanation:

1) in order to explain, the given system should be resolved:
$\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.$

2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.

3 0

2 years ago

The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n

m_a_m_a [10]

Question:

The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

Answer:

$f(n) = n^2 + n+1$

Step-by-step explanation:

Given

$f(0) = 1$

$f(n) = f(n-1) + 2n$

Required

Write an explicit formula

Let n = 1

$f(1) = f(1-1) + 2*1$

$f(1) = f(0) + 2$

$f(1) = 1 + 2 = 3$

Let n = 2

$f(2) = f(2-1) + 2*2$

$f(2) = f(1) + 4$

$f(2) = 3 + 4 = 7$

Let n =3

$f(3)=f(3-1) + 2 * 3$

$f(3)=f(2) + 6$

$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

$f(1) = 3= 1 + 2 * 1=1+0*1*2*1$

$f(2) = 7= 3 + 2 * 2=1+1*2+2*2$

$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

Following the above pattern:

$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

$f(n) = 1 + n^2 + n$

$f(n) = n^2 + n+1$

3 0

2 years ago

What is the equivalent decimal?

ivanzaharov [21]

0.15 with dash on top and the dash means its a repeating decimal and a repeating decimal is a decimal that repeats itself in this case it would be 0.1515151515 and so on

3 0

3 years ago

The perimeter of a right-angled triangle is 72 cm.

Verizon [17]

Answer:

the sides of the triangle are 4 cm , 8 cm , 20 cm

6 0

2 years ago

Write an equation for a line with a slope of 2, through (4,-2) in standard form.

Nana76 [90]

Answer:

The correct answer would be -2x + y = -10

Step-by-step explanation:

To do this, start with point-slope form and input the known values.

y - y1 = m(x - x1)

y + 2 = 2(x - 4)

Now distribute and solve for the constant.

y + 2 = 2(x - 4)

y + 2 = 2x - 8

-2x + y + 2 = -8

-2x + y = -10

8 0

3 years ago