2x + 3y = 6
x y
0 2
3 0

A line is described using the equation 2x + 3y = 6. The table lists the coordinates of two points on the line, the y-intercept and the x-intercept. Find the slope of this line.
A) The slope is 2.
B) The slope is 3.
C) The slope is −3/2
D) The slope is −2/3

Answer:

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

[tex]c^{2} -b^{2} =a^{2}[/tex]

replace these sides with their numbers:

[tex]6^{2} -2^{2} = 32[/tex] (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

[tex]\sqrt{32} =5.65685...[/tex]

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

Answer:

5.7

Khan

Alright

Make me brainliest please just once.

Step-by-step explanation:

Answer:

2328.5 weeks or 6.4 years

Step-by-step explanation:

69855/30= 2328.5/365= 6.4

Answer:

20% heavier

Step-by-step explanation:

Answer:

[tex]100[/tex]

Step-by-step explanation:

[tex] \frac{3.75 \times 100}{1.50 \times 100} = \frac{375}{150} [/tex]

Answer:

V = 687.28 cm ^3

Step by step explanation:

687.28 m ^3 is found in 3 steps.

Volume of a sphere = V=4/3πr3 = 268.8 m^3

Volume of a semi sphere = V  = (2/3)πr.  but i divide the top one by 2

= 268.8/2 = 134.4 m^3

Volume of a Cylinder prism = V=πr2h = 502.61 m^3

Volume of a cone V=(πr2 )h/3 = 50.27

We add 134.4 + 502.61 +50.27 = 687.28 m ^3

How to find Area;

We remember and compare to Area and other areas the values.

Area = 415m^2

circle is semi sphere A = π r2 h= 200.1 = /2 or *0.5 A=100.53 m^2

cylinder lateral A = 2πrh  L = 251.327412 m^2 = 251 m^2

Cone lateral A=πrh2+r2 = 62.83 = 63 m^2

= 100.53 + 251.327412 + 62.83 =414.687412

or 101+251+63 = 415 m^2

Notes;

The best way is to find someway of not overwhelming yourself with the combined volume question and know what actually makes a cylinder being the central prism.

So write down all these values below onto a flashcard and title it Area of a composite Semi-sphere/cylinder/cone r = 4 / h= 10 r =4  / r= 4 h=3

and write these down.

Cylinder

lateral surface area L = 80 π m2

top surface area T = 16 π m2

base surface area B = 16 π m2

total surface area A = 112 π m2

Cone = 62.83

Semi sphere = 100.53

Area = 415 m2

Answer:

most definitely d!!

Step-by-step explanation:

just took the test on a p e x

Answer:

p=6

Was option B supposed to be 6 instead of -6?

Work:

2/3p-8=-2p+8

2p-24=-6p+24

8p=48

p=6

Step-by-step explanation:

Well, if you're trying to find the x-intercept, you should look where the line crosses the x-axis. If the line crosses at 6, then the x-intercept is 6. So what I'm saying is the answer is 6.

Btw, if you're trying to find the y-intercept, just look where the line crosses the y-axis, (vertical axis) and then that's your answer.

Example: If there is a line crossing through a 5 on the y-axis, that is your y-intercept.

Example: If there is a line crossing through a 5 on the x-axis, that is your x-intercept.

I hope this answers your question.

Answer:

6

Step-by-step explanation:

Answer:

Greater than, less, than, equal to, greater or equal to, less than or equal to

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

7+8/2 multiply by 6

Answer:

C. 78 sq. units

Step-by-step explanation:

[tex]area \: of \: trapezoid \\= \frac{1}{2} \times (19 + 7) \times 6 \\ = 26 \times 3 \\ = 78 \: sq \: units[/tex]

Answer:

4.75 feet

Step-by-step explanation:

Perimeter for any rectangular shape is given by 2(length + width).

Fencing the garden means one wiring the garden along  the perimeter.

Thus, it can be concluded that garden has perimeter of 26 feet as given in question.

__________________________________________

Let the width be x feet

given that,  He wants the length of the garden to be 3 1/2 feet longer than the width

thus, length of garden = x + 3 1/2 feet = x + 3.5 feet

if length is x+3.5 feet and width is x feet.

Then perimeter = 2( x+3.5 + x) = 2(2x+3.5) = (4x + 7) feet.

This perimeter will be equal to 26 feet fence

thus,

(4x + 7)  = 26

=> 4x = 26 - 7 = 19

=> x = 19/4 = 4.75 feet

x is width of garden.

Thus, he should make the garden 4.75 feet wide.

Answer:

4.75

Step-by-step explanation:

Answer: $200-$75=$125

Answer:

125$

Step-by-step explanation:

$200-$75=125$

Answer:

y = -2x

Step-by-step explanation:

I used slope intercept form and took one of the answers and the slope hit (-2,4).

Before we do this problem, let's go over a little algebra terminology.

The number in front of your variable is called your coefficient and notice that the x at the end of the problem does not have a coefficient.

When that happens, when there is no number in front of your variable, you can put a 1 there to fill that position. So -x can be thought of as -1x.

Next let's change all our minus signs to plus negatives.

So the problem reads 3x + 5 + 7x + -3 + -1x + 2.

Now let's simplify this by combining like terms.

We can combine our "x" terms first.

3x + 7x + -1x simplifies to +9x.

Now, 5 + -3 + 2 simplifies to 4.

So our answer is 9x + 4.

Answer:

10x-x+7-3

Step-by-step explanation:

Answer:

motor ∩ bicycle

Step-by-step explanation:

This is because ∩ means intersection, saying that it is an overlap between the motor and the bicycle, but on the chart there is no overlap between those two.

Answer:

C: motor ∩ bicycle

Step-by-step explanation:

edge 2020

Answer:

Volume = [tex]\pi r^2 h[/tex]

2512 = 3.14 × r^2 × 8

[tex]r^2 = \displaystyle\frac{314}{3.14}[/tex]

[tex]r^2 = 100[/tex]

[tex]r = 10 \ cm[/tex]

[tex]Diameter = 2r = 20 \ cm [/tex]

Dont get confused try to understand : )

Answer:

20 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We are given the volume and the height

2512 = pi r^2 *8

Divide each side by 8

2512/8 = pi r^2 *8/8

314 = pi r^2

Divide each side by pi

314/3.14 = 3.14 r^2 /3.14

100 = r^2

Take the square root of each side

sqrt(100) = sqrt(r^2)

10 = r

We want to find the diameter

d =2r

d =2(10)

d =20

The diameter is 20 cm

Answer:

91.125  in^3

Step-by-step explanation:

4.5*4.5*4.5 = 91.125

Answer:

Here is your answer:

5x + 2 < 32

solution:

5x+ 2 < 32

or, 5x < 32-2

or, 5x < 30

or, 5x < 30/2

or, 5x < 15

or, x < 15/3

or, x < 5

therefore, x < 5 ans

Hope it will help you

Answer:

7/15

Step-by-step explanation:

When we convert the fractions so that they have a common denominator (this makes it easier to subtract), we get 12/15 - 5/15 = 7/15. Hope this helps!

Answer:

7/15

Step-by-step explanation:

First, you find a common denominator. The common denominator would be 15.

4/5= 12/15

1/3= 5/15

12/15- 5/15

Answer: 7/15

Answer:

Step-by-step explanation:

Equation:

acid + acid = acid

0.05x + 1.0(95-x) = 0.30*95

----

Multiply thr by 100 to get:

5x + 100*95 - 100x = 30*95

---

-95x = -70*95

---

x = 70L (amt of 5% solution needed)

---

95-x = 25L (amt of 100% solution needed)

==================================================

How many Liters of 100% acid should be used to obtain the solution?

Answer:

24

Step-by-step explanation:

radius^2 = diameter

Answer:

24ft

Step-by-step explanation:

all you had to do is multiply 12x2

Answer:

y = 3x

Step-by-step explanation:

The difference between consecutive values of y are constant, that is

9 - 6 = 6 - 3 = 3 - 0 = 0 - (- 3) = - 3 - (- 6) = 3

This constant is the required multiplier, that is

y = 3x

Answer:

91 possible outcomes

Step-by-step explanation:

As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:

number of possibilities of choosing a brunette: 13

number of possibilities of choosing a blonde: 7

Then, the number of possible outcomes is the product of these number of possibilities:

13 * 7 = 91 possible outcomes

Answer:

a=6

b=-14

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

17/25 and theoretical

Step-by-step explanation:

Answer:

8

Step-by-step explanation:17-25=8 and 17+8=25

Answer:

X=57

Step-by-step explanation:

77+46+X=180

123+X=180

X=180-123

X=57

Answer:

57°

Step-by-step explanation:

Hope it helps you in your learning process

46° + m∠SAQ + 77° = 180° (straight line angles)

m∠SAQ + 123° = 180°

m∠SAQ = 180° - 123°

m∠SAQ = 57°