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3 years ago

What is equation of line in general form that passes through the point (1,1) and has a y-intercept if 2

Mathematics

1 answer:

enyata [817]3 years ago

6 0

Answer:

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept

Step-by-step explanation:

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If you roll two four-sided dice numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 7? Enter a fractio

Anna [14]

The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2

8 0

4 years ago

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0

3 years ago

Can someone help me with these both

Anna [14]

Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.

Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg

* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.

(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL

7 0

3 years ago

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that $P = 600, t = 5, r = 0.02, n = 1$ . Thus

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 600(1 + \frac{0.02}{1})^{t}$

$A(t) = 600(1.02)^t$

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

$A(5) = 600(1.02)^5 = 662.5$

The value of this investment at the end of the 5 years is of $662.5.

5 0

3 years ago

What does inverse operations mean?

jok3333 [9.3K]

Answer:

A pair of inverse operations is defined as two operations that will be performed on a number or. variable, that always results in the original number or variable. Another way to think of this is. that the two inverse operations “undo” each other.

Step-by-step explanation:

for example addition and subtraction are and divison and multiplication are, because they inverse each other.

8 0

3 years ago