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2 years ago

Write an equation for L in point slope form L is parallel to y=5x. points (1,-1)

Mathematics

2 answers:

mojhsa [17]2 years ago

6 0

Answer:

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 5x → m = 5.

The point-slope form:

$y-y_1=m(x-x_1)$

We have the slope m = 5 and the point (1, -1). Substitute:

$y-(-1)=5(x-1)\\\\y+1=5(x-1)$

Anarel [89]2 years ago

3 0

Answer:

y + 1 = 5(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x with slope m = 5

• Parallel lines have equal slopes

for line L with m = 5 and (a, b) = (1, - 1) then

y + 1 = 5(x - 1) ← in point- slope form

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If f(x) = 4x ^ 2 and g(x) = x + 1 , find (fg)(x) ).

Irina-Kira [14]

Answer:

$\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }$

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

$f(g(x))=f(x+1)=4(x+1)^2$

<u>so C is the correct answer</u>

7 0

3 years ago

Read 2 more answers

If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin

Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?

Solution :

Applying interest formula,

$A=P(1+r)^t$

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

$3783193=P(1+0.11)^8$

$3783193=P(1.11)^8$

$3783193=P\times 2.30$

$P=\frac{3783193}{2.30}$

$P=1641627.68$

Therefore, The original amount deposit is $1641627.68.

3 0

2 years ago

−3x+5y=2x+3y ordered pairs

NeTakaya

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

6 0

2 years ago

Divide a line of 1.8m into three parts in the ratio of 5:7:8

kozerog [31]

Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

8 0

2 years ago

a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2

skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points $(x_1 , y_1)$ and $(x_2 , y_2)$ is given as:

$\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y$

Given that slope "m" = 3

Substituting the values we get,

$\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}$

Thus the y-coordinate is 16

8 0

2 years ago