All categories

1 year ago

Alinethatincludesthepoint(6, 3)hasaslopeof 2 . what isitsequationin slope -intercept form?

1 answer:

3 0

Hi Kay, the point-slope form of a line is given by: y - y1 = m(x - x1). Substituting the given point, (6, -8), and the slope, -2, gives: y - (-8) = -2 * (x - 6) This becomes: y + 8 = -2x + 12

You might be interested in

If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what

Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

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

$A_1=42000(1+0.03)^1$

$A_1=43260$

$A_2=42000(1+0.03)^2$

$A_2=44557.8$

$A_3=42000(1+0.03)^3$

$A_3=45894.534$

$A_4=42000(1+0.03)^4$

$A_4=47271.370$

$A_5=42000(1+0.03)^4$

$A_5=48689.511$

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is $229673.215

5 0

1 year ago

A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cre

noname [10]

The figure shown below illustrates the problem.

The volume of the empty cone is
V₁ = (1/3) π r²h

The volume of the sphere is
V₂ = (4/3) π r³

Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r

Answer:
The height of the cone is 4 times greater than the radius f the cone.

5 0

1 year ago

Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

nlexa [21]

Answer:

Step-by-step explanation:

Given that

For delivery within $1\frac{1}2$ mi, charges = $1.25

For delivery within $1\frac{1}2$ mi - $1\frac{3}4$ mi, charges = $1.70

For delivery within $1\frac{3}4$ mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2 $\frac{1}4$ mi, charges = $2.60

For delivery within 2 $\frac{1}4$ mi - 2 $\frac{1}2$ mi, charges = $3.05

For delivery within 2 $\frac{1}2$ mi - 2 $\frac{3}4$ mi, charges = $3.50

For delivery within 2 $\frac{3}4$ mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3 $\frac{1}4$ mi, charges = $4.40

So, every 0.25 mi or $\frac{1}4$ mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of $3\frac{1}8$ miles lies within the range 3 mi - 3 $\frac{1}4$ mi.

So actual charges after increase of 10%

$\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}$

6 0

2 years ago

Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. 1. Triangle A B C has angle m

MAXImum [283]

Answer:

The correct option: (2) Triangle ABC that has angle measures 45°, 45° and 90°.

Step-by-step explanation:

It is provided that a triangle ABC has an acute angle for which the sine and cosine ratios are equal to 1.

Let the acute angle be m∠A.

For the sine and cosine ratio of m∠A to be equal to 1, the value of Sine of m∠A should be same as value of Cosine of m∠A.

The above predicament is possible for only one acute angle, i.e. 45°, since the value of Sin 45° and Cos 45° is,

$Sin\ 45^{o} =Cos\ 45^{o} = \frac{1}{\sqrt{2} }$

So for acute angle 45° the ratio of Sin 45° and Cos 45° is:

$\frac{Sin\ 45^{o}}{Cos\ 45^{o}} = \frac{\frac{1}{\sqrt{2} } }{\frac{1}{\sqrt{2} } } = 1$

Hence one of the angles of a triangle is, m∠A = 45°.

Comparing with the options provided the triangle is,

Triangle ABC that has angle measures 45°, 45° and 90°.

Thus, the provided triangle is a right angled isosceles triangle, since it has two similar angles.

7 0

2 years ago

Evan takes 100 milligrams of medicine. The amount of medicine in his bloodstream decreases by 0.4 milligram each minute for a nu

faltersainse [42]

the whole statement is true, make sure you read all of your choices next time and list them below.

5 0

1 year ago

Read 2 more answers