Explain why the square root of a number or variable can be either positive or negative.

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

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The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]  are the points that half way between  [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.

The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3

Reasons:

The given coordinates of the vertices of rectangle ABCD are;

A(0, 0), B(12, 0), C(12, 6), and D(0, 6)

The midpoint of side [tex]\overline{AB}[/tex] = Point F

The midpoint of side [tex]\overline{CD}[/tex] = Point F

The coordinates of point F is given by the midpoint formula, as follows;

[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]

Which gives;

[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]

[tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]

[tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;

Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;

Which gives;

The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.

By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

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Answer:

there is no graph though

Answer:

1st option

Step-by-step explanation:

cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

y=8

Step-by-step explanation:

Multiply both sides of the equation by 4.

y−64=−56

Add 64 to both sides.

y=−56+64

Add −56 and 64 to get 8.

y = 8

and have a good day as well

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

Answer:

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

From the information given, the percentage increase in the price bid over the cost will be 23%.

Cost on the product = $112.

Amount bid = $138

Therefore, the Percentage increase will be:

= (138 - 112) / 112 × 100

= 26/112 × 100

= 23%

Therefore, from the calculation above, it can be seen that the percentage increase in the price bid over the cost will be 23%.

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Answer:

Unit rate is 3

Step-by-step explanation:

The unit rate means the value of ONE unit.

In this case, it would be the value of ONE pound of apples.

I divided 6 by 2, which gave me THREE.

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = [tex]\sqrt{176.89 - 94.09}[/tex]

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

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#SPJ5

Answer:

1,2,4,

Step-by-step explanation:

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

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Step-by-step explanation:

SAS ================

What it says:

If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.

Required information:

Two sets of congruent sides with a congruent angle between them

ASA ================

What it says:

If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.

Required information:

One set of congruent sides with two sets of congruent angles on the sides

AAS ==================

What it says:

If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.

Required information:

Two sets of congruent angles and one set of congruent non-included sides

HL =================

What it says:

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.

Required information:

Congruent hypotenuse and congruent leg

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

Answer:

Step-by-step explanation:

If the same line holds the hypotenuse of two right triangles, both of the triangles are similar.

This is because they have same ratio of corresponding sides.

Yes .

Let's check your graph

In ∆ADE and ∆ABC

Hence both triangles are similar

Answer:4.184*10^-1

Step-by-step explanation: in standard form or scientific notation

Answer:

Step-by-step explanation:

Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

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

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.

Answer:

Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.