All categories

4 years ago

The graph for the equation y=-2x+1 is shown below.

Mathematics

1 answer:

Tpy6a [65]4 years ago

3 0

Answer:

Step-by-step explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.

You might be interested in

Jen’s Flower Shop sells flowers for $1.25 each. Mary’s Flower Shop sells a dozen flowers for $15.48. Who has the best deal? SHOW

kondaur [170]

Answer:

Jen's has the best deal

Step-by-step explanation:

Jens: $1.25 per flower

Mary: $15.48 /12 flower

$1.29/flower

1.25< 1.29 so Jen's has the best deal

7 0

3 years ago

Read 2 more answers

Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on

FrozenT [24]

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

6 0

4 years ago

Line w and line v are perpendicular to each other. Line w passes through the points ( -4,8 ) and ( 12,-2 ). What is the slope of

erik [133]

The slope of line "v" is $\frac{8}{5}$

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

Given that Line w and line v are perpendicular to each other

Also given that line w passes through the points ( -4, 8 ) and ( 12, -2 )

To find: slope of line v

Since line w and line v are perpendicular to each other, product of slopes of line w and line v are equal to -1

$\text {slope of line } w \times \text { slope of line } v=-1$ ---- eqn 1

Let us first find slope of line w

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

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

$\text {Here } x_{1}=-4 \text { and } x_{2}=12 \text { and } y_{1}=8 \text { and } y_{2}=-2$

$m=\frac{-2-8}{12-(-4)}=\frac{-10}{16}=\frac{-5}{8}$

Thus the slope of line "w" is $\frac{-5}{8}$

Substituting the slope of w in eqn 1 we get,

$\begin{array}{l}{\frac{-5}{8} \times \text { slope of line } v=-1} \\\\ {\text { slope of line } v=\frac{8}{-5} \times-1=\frac{8}{5}}\end{array}$

Thus the slope of line "v" is $\frac{8}{5}$

5 0

3 years ago

The sixth one. thanks for all the help!

rodikova [14]

Answer: The answer is 8 because if you divide each total cost by it’s number of tickets, you will always get 8.

4 0

3 years ago

Read 2 more answers

The product of x and 5 exceeds 80.

Aleksandr-060686 [28]

Answer:

5x > 80, or x > 16

Step-by-step explanation:

The way you write this would be 5 * x > 80, or 5x > 80

If you divide both sides by 5, you would get x > 16.

7 0

3 years ago