The difference between 4.4 and -2.4

Scateboard cost Rs450each in my local store,The shop keeper says if I buy 1 I can buyanother for only 7/9 of the normal price,ho

Whitepunk [10]

Answer:

the cost will be Rs 350

Step-by-step explanation:

The Scateboard cost Rs 450 each in the local store,The shop keeper says if I buy 1 I can buy another for only $\frac{7}{9}$ of the normal price. We are asked to determine the cost of a second scateboard .

Hence the cost will be $\frac{7}{9}$ of the normal cost that is

$\frac{7}{9} \times 450$

$7 \times 50$

$350$

the cost will be Rs 350

6 0

4 years ago

Find the equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5).

neonofarm [45]

The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is $y = \frac{-1}{3}x - 8$

Solution:

Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line $\times$ slope of line perpendicular to given line = -1

$3 \times \text{ slope of line perpendicular to given line }= -1$

$\text{ slope of line perpendicular to given line } = \frac{-1}{3}$

Let us now find the equation of line with slope $m = \frac{-1}{3}$ and containing the point (-9, -5)

Substitute $m = \frac{-1}{3}$ and (x, y) = (-9, -5) in eqn 1

$-5 = \frac{-1}{3}(-9) + c\\\\-5 = 3 + c\\\\c = -8$

Thus the required equation of line is:

Substitute $m = \frac{-1}{3}$ and c = -8 in eqn 1

$y = \frac{-1}{3}x - 8$

Thus the required equation of line perpendicular to given line is found

6 0

4 years ago

HELP ITS AN EMERGENCY

forsale [732]

Answer:

A. Vertex: (1, -8); x-intercepts: -1 and 3

Step-by-step explanation:

The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.

So the point where it scoops up is (1, -18)

The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.

The places where it touches the x-axis is -1 and 3

7 0

4 years ago

Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solv

Anestetic [448]

Answer: Nick must now at least 6 yards.

Step-by-step explanation:

Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:

= 80 + 40y

where y = number of yards

Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:

80 + 40x ≥ 320

40x ≥ 320 - 80

40x ≥ 240

x ≥ 240/40

x ≥ 6

Therefore, Nick must now at least 6 yards.

4 0

3 years ago

"Solve the system using the elimination method. Show work."

Dafna1 [17]

Solution in an attachment.

x = -4; y = -2; z = 4

6 0

3 years ago