If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Here we start with the polynomial:

[tex]f(x) = 2x^4 + 2x + 2[/tex]

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

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Answer:

195 m.

Step-by-step explanation:

The time for the  sound waves to reach the fish is 0.26/2 = 0.13 seconds.

Distance = speed * time

= 1500 * 0.13

= 195 m.

Answer:

Step-by-step explanation:

Any line that segments a circle and joins two points at the circumference of a circle is called a chord.

line AB is a chord

While

line EC is a diameter

line DF is a radius

Answer:

Correct Answer should be AB

Step-by-step explanation:

I toke the quiz so I know its correct

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{98} -\sqrt{128}[/tex]

[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]

[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]

[tex]7\sqrt{2}-8\sqrt{2}[/tex]

[tex]=-\sqrt{2}[/tex]

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

Answer:

D

Step-by-step explanation:

I took the test, dont listen to the person above me:)

Answer:

y<x+1

Step-by-step explanation:

Answer:

He's descending at a pace of 2.3 meters per minute.

Step-by-step explanation:

This is because the equation shows us the slope or the speed he's going at.

A= -2.3t - 7

A= Altitude

-2.3 = Slope

- 7 is his starting altitude in meters

But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.

And you graph it to see the progression in slope.

Answer:

Step-by-step explanation:

[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]

Answer:

60

Step-by-step explanation:

Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.

Answer:

This is called a vertical translation, which is answer D.

Step-by-step explanation:

Given: g(x) = f(x) + 2.

This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).

The type of transformation is called a vertical translation, which is answer D.

Answer:

1) [tex]a^2[/tex]

2) [tex]a^3[/tex]

3) [tex]b^4[/tex]

4) [tex]a^2b^2[/tex]

5) [tex]a^3b^2[/tex]

6) [tex]a^3b[/tex]

7) [tex]a^3b^2[/tex]

8) [tex]a^3b^2[/tex]

Step-by-step explanation:

1) a × a = [tex]a^2[/tex]

2) a × a × a = [tex]a^3[/tex]

3) b × b × b × b = [tex]b^4[/tex]

4) a × a × b × b = [tex]a^2b^2[/tex]

5) a × a × a × b × b = [tex]a^3b^2[/tex]

6) a × a × b × a = [tex]a^3b[/tex]

7) a × b × a × a × b = [tex]a^3b^2[/tex]

8) b × a × a × a × b  = [tex]a^3b^2[/tex]

Answer:

What is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

2.5 cm

Step-by-step explanation:

The volume of the prism is the area of the cross-section times the length.

The area of the cross-section is the area of a triangle.

4h×1/2×7 = 35

Multiply and solve for h.

14h = 35

Divide both sides with 14.

h = 35/14

h = 5/2

h = 2.5

2.5cm

and here welcome friend card

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Answer:

a)=251.2 cm    b)=50240 cm

Step-by-step explanation:

a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.

Therefore, C = 2 * 40 * 3.14 = 251.2 cm

b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.

Answer:

3×2+2x-5

6-5+2x

1+2x

-4+7×2

-4+14

10

Answer:

(1+2)3

Step-by-step explanation: it equals 9 the the other expressions  equal 8 0 and 6 so option one is the greatest value.

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

[tex]\frac{3}{5} =k(30)[/tex]

Divide both sides by 1/30 to get k alone.

[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and

[tex]k=\frac{1}{50}[/tex]

Our model then is

[tex]d=\frac{1}{50}w[/tex]

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

Answer:

A

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.

It is not a solution.      2x=2 and 2 is not bigger than 2 (which is y).

x+y = 1+2=3. # is not bigger than 3.

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

Answer:

157

Step-by-step explanation:

4(x2+3)-2y

4((-6)2+3)-2(-1/2)

4(36+3)-(-1)

4(39)+1

156+1

157

Answer:

157

Step-by-step explanation:

Answer:

the answer is (4 + 21)(3-51) = (3-51)(4+ 21)

The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).

The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.

According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.

Let A and B be the two integers, then;

A × B = B × A

As, we know commutative Property supports multiplication and Addition.

First,  (4 + 21) = (21 + 4)

This is Commutative Property of Addition.

Second,  (4 + 21)(3-51) = (3-51)(4 + 21)

This is Commutative Property of Multiplication

Third, (4 + 21(3-51) = (4 + 21)(3-51(1)

No property can be applied.

Fourth, (4 + 21) = (4 + 21 + 0)

This is expansion.

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Answer:

A.

Step-by-step explanation:

We have AC = DF, ∠A =∠D, so

we need AB = DE.

We get SAS congruence.