B Print
Find the slope of the line.
12
11
10
9
4
2
ol
5
9 10
The slope is

Given that,

Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden.

To find,

The fewest number of parts she can divide her garden into.

Solution,

It is mentioned that she will plant corn in 12/20 of the garden.

If we divide both numerator and denominator by 4, it will become:

[tex]\dfrac{12/4}{20/4}=\dfrac{3}{5}[/tex]

It means the fewest number she can divide her garden into is 4. 3/5 part is planted with corn and rest 2/5 is not planted with corn plant.

Step-by-step explanation:

Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"

The numbers are 25, 34, and 17.

Let x be the first number, y be the second number, and z be the third number. We know that x + y + z = 76, z = x - 8, and y = 2z.

Substituting the second and third equations into the first equation, we get x + 2(x - 8) + (x - 8) = 76.

Simplifying the right side of the equation, we get 4x - 24 = 76.

Adding 24 to both sides of the equation, we get 4x = 100.

Dividing both sides of the equation by 4, we get x = 25.

Substituting x = 25 into the equation z = x - 8, we get z = 25 - 8 = 17.

Substituting x = 25 and z = 17 into the equation y = 2z, we get y = 2 * 17 = 34.

Therefore, the numbers are 25, 34, and 17.

To learn more about numbers here:

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Answer:

-6

Step-by-step explanation:

Answer:

128 people

Step-by-step explanation:

160 people multiplied by 4 ladles per person equal 640 ladles in total

640 ladles divided by 5 ladles each equals 128 people

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

Answer:

The answer is B

Step-by-step explanation:

Answer:

shown

Step-by-step explanation:

This is the link to the same question i think with a answer, im not good at these types of math but hopefully this helps you guys out! https://brainly.com/question/13982030

Answer:

option B is correct

Hope my answer is helpful to you

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.

Answer:

p = 43

Step-by-step explanation:

I assume you mean an expression with exponents.

In the future, for a to the n power use a^n.

Recall the following two rules of exponents:

[tex] x^a \times x^b = x^{a + b} [/tex]

[tex] (x^a)^b = x^{ab} [/tex]

Now we can answer your question.

[tex] (x^{22})(x^7)^3 = [/tex]

[tex]= (x^{22})(x^{21})[/tex]

[tex] = x^{43} [/tex]

Since

[tex] x^{43} = x^p [/tex]

then

p = 43

Answer:

you have to find gradient

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex] \frac{ - 3}{1} [/tex]

Answer:

1) ¿Puedes ayudarme a encontrar ropa?

2) Estoy buscando una camisa y un par de zapatos.

3)  Sí. Veo una camisa azul y un par de zapatos blancos.

4) Llevo 3 camisas y 2 pares de zapatos.

5) Voy a pagar en efectivo.

Answer:

11

Step-by-step explanation:

When you plug in -2 for x you get -4(-2) +3

8 +3 = 11

F(-2)=11

Hope this helps, have a nice day

Answer:

f(- 2) = 11

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x), that is

f(- 2) = - 4(- 2) + 3 = 8 + 3 = 11

Answer:yea sure but I don’t see anything there

Step-by-step explanation:

Answer:

DE ≈ 40

Step-by-step explanation:

Using the Sine rule in Δ DEF

∠ D = 180° - (58 + 87)° ← sum of angles in a triangle

∠ D = 180° - 145° = 35° , then

[tex]\frac{DE}{sin87}[/tex] = [tex]\frac{EF}{sin35}[/tex] = [tex]\frac{23}{sin35}[/tex] ( cross- multiply )

DE × sin35° = 23 × sin87° ( divide both sides by sin35° )

DE = [tex]\frac{23sin87}{sin35}[/tex] ≈ 40 units ( to the nearest whole number )

Answer:

the average rate of change is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2. Solving

Input the given points into the formula and solve.

[tex]\frac{(-1)-(-5)}{(4)-(3)}[/tex]

[tex]\frac{-1+5}{1}[/tex]

[tex]\frac{4}{1}[/tex]

4

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

[tex]cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}[/tex]

[tex]\therefore cos (\angle TAM) = cos (\angle TAC) = \dfrac{\left (\dfrac{\sqrt{130} }{2} \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}[/tex]

[tex]\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx 61.6 ^{\circ} \ to 1 \ decimal \ place[/tex]

The measure of angle TAC is 61.6 degrees

The given parameters are:

[tex]\mathbf{AB = 7}[/tex]

[tex]\mathbf{BC = 9}[/tex]

Start by calculating length AC, using the following Pythagoras theorem.

[tex]\mathbf{AC = \sqrt{AB^2 + BC^2}}[/tex]

So, we have:

[tex]\mathbf{AC = \sqrt{7^2 + 9^2}}[/tex]

[tex]\mathbf{AC = \sqrt{49 + 81}}[/tex]

[tex]\mathbf{AC = \sqrt{130}}[/tex]

[tex]\mathbf{AC = 11.40}[/tex]

Next, we calculate side length AM

[tex]\mathbf{AM = \frac{AC}{2}}[/tex]

So, we have:

[tex]\mathbf{AM = \frac{11.40}{2}}[/tex]

[tex]\mathbf{AM = 5.70}[/tex]

The measure of angle TAC is calculated using the following cosine ratio

[tex]\mathbf{cos(A)= \frac{AM}{TA}}[/tex]

So, we have:

[tex]\mathbf{cos(A)= \frac{5.70}{12}}[/tex]

[tex]\mathbf{cos(A)= 0.475}[/tex]

Take arc cos of both sides

[tex]\mathbf{A= 61.6}[/tex]

Hence, the measure of angle TAC is 61.6 degrees

Read more about pyramids at:

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Answer:

Step-by-step explanation:

Split check( order Deserts)Answer: 50

Split check( No Deserts)Answer:18

68-50=18

One person pays ( Order Desert)Answer:16

54-38=16

One person pays(No Deserts)Answer: 38

56-18=38

One Person Pays (Total)Answer:54

112-68=54

Order Deserts (Total) ANswer 66

50+16=66

Answer:

9a + 6b and 5c - 3d

Step-by-step explanation:

(a)

4a + 7b + 5a - b ← collect like terms

= (4a + 5a) + (7b - b)

= 9a + 6b

(b)

6c + 4d - c - 7d ← collect like terms

= (6c - c) + (4d - 7d)

= 5c - 3d

Answer:

a) [tex]3(3a + 2b)[/tex]

b) [tex]5c - 3d[/tex]

Step-by-step explanation:

a) [tex]4a + 7b + 5a - b[/tex]

Lets arrange all like terms.

[tex] = > 4a + 5a + 7b - b[/tex]

[tex] = > 9a + 6b[/tex]

Taking 3 common from the terms,

[tex] = > 3(3a + 2b)[/tex]

b) [tex]6c + 4d - c - 7d[/tex]

Lets arrange all like terms.

[tex] = > 6c - c + 4d - 7d[/tex]

[tex] = > 5c - 3d[/tex]

Answer:

25

Step-by-step explanation:

9×(1/3)²+25=9×1/9+25=25

Answer:

200 sheets are required

Step-by-step explanation:

We need to calculate the area of both the sheets and the wall

Mathematically,

area of a rectangle = l * b

Area of the sheet = 20 * 50 = 1,000 cm^2

100cm = 1 m

so the area of the wall is 400 by 500 = 200,000 m^2

To know the number of sheets, we now divide the area of the wall by that of the sheet

Mathematically, that will be;

200,000/1,000 = 200 sheets

Answer:

m= 8/11

Step-by-step explanation:

plug into the formula and solve

Answer:

Y= [tex]\frac{-2x+6}{3}[/tex]

Step-by-step explanation:

slope intercept formula is

Y=mx+b

Now we want the y isolate so in this case we just subtract 2x on both sides

3Y=6-2x

or in more better terms

3y=-2x+6

Now we want the 3 isolated so we divide 3 on both sides

and you’ll get

[tex]\frac{-2x+6}{3}[/tex]

Answer:

All the integers. Since an integer times an integer is always an integer.

Step-by-step explanation:

Answer:

It is always going to be an integer.

Step-by-step explanation:

Hope this helped have an amazing day!

The first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators

From the question,

The given expression is 4/5 + 1/2

This can be written properly as

[tex]\frac{4}{5}+\frac{1}{2}[/tex]

In solving the problem, the first step is to make the fractions have a common denominator. This can be achieved by finding the LCM (Lowest common multiple) of their denominators (that is, 5 and 2)

The LCM of 5 and 2 is 10

If we were to solve the equation, we will get

[tex]\frac{4}{5}+\frac{1}{2}[/tex]  = [tex]\frac{2(4) + 5(1)}{10}[/tex]

Hence, the first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators.

Learn more here: https://brainly.com/question/15725790

Answer:

2. G)-11

3. C

4) F. y=1/2x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

The easiest way to do this is to take the two intercepts (x  and   y)

x intercept: (-4,0)

y intercept: (0,2 )

Givens

y2 = 2

y1  = 0

x2 = 0

x1 = - 4

Equation

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - 0)/(0 - - 4)

m = 2/4 = 1/2

Find b

y = mx + b

y = 2

x = 0

2 = 1/2x +  b

2 = 1/2*0 + b

b = 2

Answer

y = 1/2 x  + 2

Answer:

It is an obtuse angle

Step-by-step explanation:

It is an obtuse angle because if any angle on a triangle is greater than 90 degrees, then it is called obtuse.