Find the slope of a line through the points: (1,6) and (2,8).

Find the y-intercept of the line y= 1/2x + 2

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Answer:

Not enough information

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

hope it helps

please mark brainliest

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Answer:

Step-by-step explanation:

6^7/6^3

=6^7-3

=6^4

Answer:1251231

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

wha- I have no idea what your saying

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

Answer:

Simple random sampling is the most straightforward approach to getting a random sample. It involves picking the desired sample size and selecting observations from a population in such a way that each observation has an equal chance of selection until the desired sample size is achieved.

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

Answer:

A

Step-by-step explanation:

The truncation error for S4 is 4.6875

Truncation error is defined as the difference between the true (analytical) derivative of a function and its derivative obtained by numerical approximation.

In the given Truncation error formula put n= 4

On substitution n value from 1 to 4

5/16 +5/8 + 5/4 + 5/2 = 4.6875

Thus the truncation error for S4 is 4.6875.

To know more about truncation error click here

https://brainly.com/question/23662830

#SPJ2

Answer:

A

Step-by-step explanation:

edg 2023

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

Answer:

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]-> 0=2x^2-2x-15[/tex]

-zeros means the solution aka x intercept, meaning y=0

[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]

=> according to quadratic formula

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

where [tex]ax^2+bx+c=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]

simplify

[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Cannot simplify farther

Answer:

35

Step-by-step explanation:

B

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Answer:

CA=P+2Q

Step-by-step explanation:

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Answer:

[tex]cos32° = \frac{x}{23} [/tex]

cos32°=Adjacent / hypotenuse

Answer:

x

Step-by-step explanation:

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{23}[/tex]

Answer:

to fine the volume of a cone, you do [tex]\pi r^2*h/3[/tex], r is 3 and h is 4, so [tex]9\pi *4/3[/tex], the cylinder formula is [tex]\pi r^2*h[/tex], r=3 and h=12, so [tex]9\pi *12[/tex], so 12[tex]\pi[/tex]+108[tex]\pi[/tex], this gives a answer of 120[tex]\pi[/tex] or 376.991118431.... GL :)

Step-by-step explanation:

[tex] 7.9 \\ 11.94 \\ 12.58 \\ - - - - - \\ 32.04[/tex]

u gotta add them since they asked about their cost in all

Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.

Step-by-step explanation:

(Hope this helped Btw not mine)

Answer:

Absolute value parent function

Step-by-step explanation: