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3 years ago

Find the slope of the line passing through each of the following pairs of points.

1 answer:

5 0

Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.

Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.

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Help asap pls!!!! correct answers only

zzz [600]

Answer:

Step-by-step explanation:

w/w+6 = 1/2

2w = w+6

w=6

3 0

3 years ago

Timothy has a fenced-in garden in the shape of a

sattari [20]

Answer:

From the attached graphic we see that

rhombus side = Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

rhombus side = Sqr Root [(24/2)^2 + (18/2)^2]

rhombus side = Sqr Root [144 + 81]

rhombus side = Sqr Root (225)

rhombus side = 15 feet

Step-by-step explanation:

7 0

3 years ago

1. Ted found out that the rebate is not given until after he has

nadezda [96]

9514 1404 393

Answer:

maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

Taxable amount: $20,000 -2,000 = $18,000.

Price with tax: $18,000 × 1.10 = $19,800

Amount financed: $19,800.

2) The rebate is given after the sale is complete.

Taxable amount: $20,000

Price with tax: $20,000 × 1.10 = $22,000

Amount financed: $22,000

Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

If the loan is for 5 years at 3%, the payments and total costs are ...

Scenario 1: Monthly payment $355.78;

total cost of loan: 60×355.78 = 21,346.80

Scenario 2: Monthly payment $395.31;

total cost of loan: 55×395.31 = $21,742.05 (note there are fewer payments because of the initial payment to principal of $2000)

Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then <em>there may be no difference in total cost</em>, or the delayed rebate may result in a <em>lower</em> total cost due to the higher monthly payment.

7 0

3 years ago

Plz help me tyyysmmm

ch4aika [34]

Answer:

$60 \sqrt{2}$

7 0

3 years ago

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago