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Solve the following linear system by graphing. 7x – 2y = −4
Y=−5
a (-2,-5)
b (-6,0)
c (1,5)
d (7,-4)​

The area of a 2D form is the amount of space within its perimeter. The total surface area of the square pyramid is 40 meters².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. Therefore, the amount of fabric that Henri will need is equal to the total surface area of the square pyramid.

Total surface area = Area of the base + 4(Area of the triangle)

                               = (4m × 4m) + 4(0.5×4m×3m)

                               = 16 meters² + 24 meters²

                               = 40 meters²

Hence, the total surface area of the square pyramid is 40 meters².

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[tex]-3x^3 +12x^2 -15x +6\\\\=-3(x^3 -4x^2 +5x-2)\\\\=-3(x^3 -2x^2-2x^2 +4x+x-2)\\\\=-3\textbf{[} x^2(x-2) -2x(x-2)+ (x-2)\textbf{]}\\\\=-3(x-2)(x^2 -2x +1)\\\\=-3(x-2)(x-1)^2[/tex]

Answer:

9 cm

Step-by-step explanation:

Formula :

Area (parallelogram) = Base × Height

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

Given :

⇒ Area = 153 cm²

⇒ Height = 17 cm

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

Solving :

⇒ 153 cm² = 17 cm × Base

⇒ Base = 153/17

⇒ Base = 9 cm

Answer:

Base = 9 cm

Step-by-step explanation:

Given dimensions:

To Find:

Solution:

This question is a bit tricky.Usually,the height and the base are given. We'll use the formula of area of parallelogram , then substitute/plug the values of height and area of parallelogram, with the exception of base as it's not given.

So recall the formulae of area of parallelogram:

[tex] \rm \: Area_{(Parallelogram)} = b \cdot{h}[/tex]

Plug/substitute the values of area of parallelogram & height:

[tex]\rm \: 153 \: cm ^2 =b \cdot17 \: cm[/tex]

We created an equation.Solve it now.

[tex] \implies \rm \cfrac{153 \: cm^2}{17 cm} = base[/tex]

[tex] \implies \rm9 \; cm = \: base[/tex]

[tex] \implies \rm \: Base = 9\; cm[/tex]

Yes! We're done!

Hence,the base is 9 cm of the parallelogram.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

27600x10^10

Step-by-step explanation:

Answer:

Yes, it is because the triangles are about the same shape.

Step-by-step explanation:

Answer: Yes, it is because the triangles are about the same shape. So I think they are congruent.

Answer:

C: y = 8x^2 + 10.

Step-by-step explanation:

It looks close to being a parabola so I think it is probably a function in x^2.

Try 8x^2 + 10

Checking against the plot

When x = 5 , y = 8(5)^2 + 10 = 210 , and on graph its 200

Calculating y for other values:

When x = 7, y = 8(7)^2 + 10 = 402, and on graph y =  400.

When x = 11, y = 978 , and on graph  =  1000.

When x = 17, y = 2322, and on graph y = about 2350.

Answer:

a = -2

Step-by-step explanation:

I graphed the given point (2,7) and then I used that point and plugged the point and the slope into the point-slope formula, which is (y-y₁)=m(x-x₁). Then, I just looked for where x=5 on the line and it was -2

The zero of the linear function is -2

This is the point where the line of the equation crosses the x-axis

From the attached figure, the line cross the graph at:

x = -2

Hence, the zero of the function is -2

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if the guppies are doubling, that means whatever they were yesterday, today is 100% more, so the rate of growth is 100%.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=4(1 + 1.)^{t}\implies A=4(2)^t~\hfill \stackrel{\textit{after 4 days, t = 4}}{A=4(2)^4}\implies A=64[/tex]

Answer:

A

Step-by-step explanation:

h(x) = 2x² + 15 = 2×f(x) + 15

so, every y value of f(x) is multiplied by 2, and that means the whole curve is stretched up and down (vertically).

and then we add constantly 15 to every y value. that moves then the previous stretched result up by 15 units.

Answer:

1)526 kw

2)1943 m³

3) 33

4) 43 m³

5) 5010 kw

Step-by-step explanation:

1) 7675-7149= 526

2) 462+ 1481= 1943

3) 168-135 = 33

4) 1499 -l456= 43

5) 4945+65= 5010

The surface area of the composite figure is 144 square cm after calculating separately.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a composite figure made up of a triangular prism and a cuboid

First we calculate the surface area of the triangular prism:

= 2(area of one triangle) + area of three rectangles

= 2[(1/2)6×4] + 3×5 + 3×5

= 24 + 15 + 15

= 54 square cm

Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6

= 2(12 + 24) + 18

= 72 + 18 = 90 square cm

Total surface area of figure = 54+ 90 = 144 square cm

Thus, the surface area of the composite figure is 144 square cm after calculating separately.

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Answer:

All

Step-by-step explanation:

I done this question before

The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.

The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.

The range is the difference between the two ends of the whiskers.

Range for the Wolverines = 96 - 35 = 61

Range for the Panthers = 107 - 33 = 74

The interquartile range is the difference between the first and third lines on the box

IQR for the Wolverines = 85 - 55 = 30

Range for the Panthers = 90 - 50 = 40

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The coordinate of point P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 is [tex](-\frac{22}3, \frac{23}6)[/tex]

The given parameters are:

A = (-9,3)

B = (1, 8)

m : n = 1 : 5

The coordinate of point P is then calculated using:

[tex]P = \frac{1}{m + n} (mx_2+nx_1,my_2+ny_1)[/tex]

Substitute known values

[tex]P = \frac{1}{1 + 5} (1 * 1 + 5 * -9, 1 * 8 + 5 * 3)[/tex]

Evaluate

[tex]P = \frac{1}{6} (-44, 23)[/tex]

Evaluate the product

[tex]P = (-\frac{22}3, \frac{23}6)[/tex]

Hence, the coordinate of point P is [tex](-\frac{22}3, \frac{23}6)[/tex]

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Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is given as:

a² = b² + c² - 2bc * cosA

Given that a = 51, b = 21, c = 68, hence:

51² = 21² + 68² - 2(21)(68) * cosA

A = 30.37°

21² = 51² + 68² - 2(51)(68) * cosB

B = 12.02°

68² = 21² + 51² - 2(21)(51) * cosC

C = 137.61°

Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

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Answer: 75TT

(When you answer in terms of pi, don’t multiply pi but leave it in your answer)

Step-by-step explanation:

assuming the grain pile is a pyramid, V=1/3 TT r^2

(1/3) (TT) (15^2). Remember radius is 1/2 of diameter

(1/3) (225) TT

Answer 75TT

Answer:

x = 25 - y = 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 25. This means that

x + y = 25

The cost of item A is $3, the cost of item B is $4 and if the total amount of money made is $88, this implies

3(x) + 4(y) = 88 (Substitute x = 25 - y)

→ 3(13 - y) + 4y = 88

→ 39 - 3y + 4y = 88

→ 39 + y = 16

→ y = 23

If y = 23, then x = 25 - y = 2

(i) Both are boys = 0.3575757576, (ii) Both are girls = 0.1575757576 and (iii) one boy and one girl = 0.48484848 are the probabilities.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A class consists of 60 boys and 40 girls.

To find the probability if two students are chosen at random:

The probability is ¹⁰⁰C₂.

(i) Both are boys,

The probability is ⁶⁰C₂ ÷ ¹⁰⁰C₂.

⁶⁰C₂ ÷ ¹⁰⁰C₂ = 60! / {2! x (60-2)!} ÷ 100! / {2! x (100-2)!}

⁶⁰C₂ ÷ ¹⁰⁰C₂ = 30 x 59 / 50 x 99

⁶⁰C₂ ÷ ¹⁰⁰C₂ =0.3575757576

(ii) Both are girls,

The probability is ⁴⁰C₂ ÷ ¹⁰⁰C₂.

⁴⁰C₂ ÷ ¹⁰⁰C₂ = 40! / {2! x (40-2)!} ÷ 100! / {2! x (100-2)!}

⁴⁰C₂ ÷ ¹⁰⁰C₂ = 20 x 39 / 50 x 99

⁴⁰C₂ ÷ ¹⁰⁰C₂ =0.1575757576

(iii) one boy and one girl,

The probability is ⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂.

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂ =

40! / {1! x (40-1)!}x 60! / {1! x (60-1)!} ÷ 100! / {2! x (100-2)!}

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂ = 40x60 / 50 x 99

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂=0.48484848

Therefore, the probabilities are (i) Both are boys = 0.3575757576, (ii) Both are girls = 0.1575757576 and (iii) one boy and one girl = 0.48484848

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Answer:

no because it just reaches one class, not the student body

Step-by-step explanation:

The answer choices which could be a constraint to the scenario are;

It follows from the task content that the scenario is modelled by means of a system of inequalities. However, only the variables in the model can be constrained and hence, only time and depth factors could be part of the constraints.

On this note, the constraints area as indicated above.

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Answer:

A

Step-by-step explanation:

A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?

The pool is 1 meter deep.

The pool is 2 meters deep.

The toy falls at a rate of at least a Negative one-half meter per second.

The toy sinks at a rate of no more than a Negative one-half meter per second.

Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.

A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:

p = 2/4 = 1/2 = 0.5.

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Answer:

x=−2 in the formula for F(x) . Therefore, F(−2)=3(−2)2+1=3(4)+1=13 .

Answer:

3

Step-by-step explanation:

there are 16 ounces in a pound

so that means that 5 pounds (lbs) equals 80 ounces, you find this out by multiplying 16 and 5.

to find out how many batches are in a 5lb container then you just divide 80 and 24 which equals... 3.333333 but you just need to round it.

Answer:

E. 5,040

Step-by-step explanation:

For plato users

The results of factoring are presented below for each algebraic expression.

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: y²-y= y(y-1), where y is a common term.

You should apply the factor out a common term for solving the question.

       x(x+2) + y (x + 2) - 5(x + 2)

       x²+2x+xy+2y-5x-10

      x²-3x+xy+2y-10

      x(x-3)+y(x+2)-10

        [tex]5y^2 - 10y^3[/tex]

        5y²(1-2y)

        ax+ay+az

        a(x+y+z)

        yx(y+1) + 4x(y + 1) - 5(y + 1)

       xy²+xy+4xy+4-5y-5

       xy²+5xy-1-5y

       y(xy +5x-5)-1

        [tex]6p^2 - 3p^3[/tex]

       3p²(2-p)

        [tex]4x^4 + 2x[/tex]

        [tex]2x(2x^3+1)[/tex]

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Answer:

Step-by-step explanation:

Similar = proportional

solve with an equation

12 : 9 = 4 : x

x = 4 * 9 : 12

x = 3

Answer:

16*14*1/2

Step-by-step explanation:

The area of a triangle can be found in 1/2bh.

Therefore, 16 is our base, and 14 is our height.

16*14*1/2 should be your answer, from the choices that I see.

Answer:

[tex]\frac{1}{2} *14*16[/tex]

Correct Answer 100%. Pls. give me brainliest. Thank You.

Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent , then corresponding sides and angles are congruent.

(1)

Δ HIJ ≅ Δ LMN

sides           angles

---------         -----------

HI ≅ LM        ∠ H ≅ ∠ L

HJ ≅ LN         ∠ I ≅ ∠ M

IJ ≅ MN          ∠ J ≅ ∠ N

(2)

Δ XYZ ≅ Δ JKL

sides            angles

--------          ------------

XY ≅ JK        ∠ X ≅ ∠ J

XZ ≅ JL        ∠ Y ≅ ∠ K

YZ ≅ KL        ∠ Z ≅ ∠ L

Answer:

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL

Step-by-step explanation:

I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.

Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL