What is the total number of unique triangles with side lengths of 4 centimeters. 5 centimeters, and 10 centimeters that can be drawn

10.5714286 is larger than 10, but smaller than 11.

The two whole numbers are 10 and 11.

Answer:

[tex]4\sqrt{5}\ un.[/tex]

Step-by-step explanation:

The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.

The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:

[tex]d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4\sqrt{5}\ un.[/tex]  

Answer:

f(x)=2

Step-by-step explanation:

Answer:

f(x) = 4

Step-by-step explanation:

4 is itself the simplified expression and hence can't be simplified further

Hence, f(x) = 4 has a simplified base of 4.

Answer:7 pints is more than 4 quartz

Step-by-step explanation:

One pint is the equivalent to 0.5 quartz.

Answer:

a. ∠D'A'B'

Step-by-step explanation:

From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.

Only the coordinates of the points are changed with the length of each side remaining the same.

Hence the corresponding angle values will also remain unaltered.

∴ ∠DAB = ∠D'A'B'

Answer:

Neither

Step-by-step explanation:

It's neither. The terms do not differ (which means you add the same number to each term) by any constant amount.  (Arithmetic)

The terms do not have a common number that you multiply the present term to get the next term. (Geometric)

So this one is neither.

Answer:

[tex](2.2,-1.35)[/tex]

Step-by-step explanation:

we have

[tex]y=-\frac{7}{4}x+\frac{5}{2}[/tex] ------> equation A

[tex]y=\frac{3}{4}x-3[/tex] ------> equation B

Remember that

The solution of the system of equation is the intersection point both graphs

Using a graphing tool

see the attached figure

The intersection point is [tex](2.2,-1.35)[/tex]

Final answer:

To find the approximate solution to the system of linear equations, set the equations equal to each other, combine like terms, simplify, solve for x, substitute the value of x back into either equation to find y, and simplify further. The approximate solution is x = 3/2 and y = -1/8.

Explanation:

Given the system of linear equations:

y = -7/4 x + 5/2

y = 3/4 x - 3

Set the two equations equal to each other:

-7/4 x + 5/2 = 3/4 x - 3

Combine like terms:

2x + 5 - 14 = 6 - 12

Simplify:

2x - 9 = -6

Add 9 to both sides:

2x = 3

Divide both sides by 2:

x = 3/2

Substitute the value of x back into either equation to find the value of y:

y = -7/4 * (3/2) + 5/2

Simplify:

y = -21/8 + 20/8

Add the fractions:

y = -1/8

Therefore, the approximate solution to the system of linear equations is x = 3/2 and y = -1/8.

Answer:

35 because if you multiply youll get hat you need

i hope its correct

Step-by-step explanation:

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

Since you know m = 2/3, plug it into the equation

y = 2/3x + b

To find "b", plug in the point into the equation (-3,2)

y = 2/3x + b

2 = 2/3(-3) + b

2 = -2 + b

4 = b

y = 2/3x + 4

Point-slope form:

y - y₁ = m(x - x₁)        

You know:

m = 2/3

(x₁ , y₁) = (-3,2)

Plug this into the equation:

y - y₁ = m(x - x₁)  

y - 2 = 2/3(x - (-3))

y - 2 = 2/3(x + 3)

Answer:

2x-3y = =12

y= 2/3x + 4

y-2 = 2/3 (x+3)

Step-by-step explanation:

Final answer:

The soccer player will run 23.04 miles in 9 days.

Explanation:

To find out how many miles the soccer player will run in 9 days, we need to calculate the average number of miles he runs per day. We can do this by dividing the total distance he ran by the number of days.

So, 180.48 miles ÷ 70.5 days = 2.56 miles per day.

Now we can determine how many miles he will run in 9 days by multiplying the average number of miles per day by 9.

So, 2.56 miles per day × 9 days = 23.04 miles.

Answer:

100%

Step-by-step explanation:

Use the equation:

100=(72-36)÷36×100

Answer:

1/6 is the probability of it being a green plastic marble.

Step-by-step explanation:

Note that there are 18 marbles in all (12 + 6 = 18).

Half of the green marbles (6) are made of plastic: 6/2 = 3

From the information above, we see that 3 green marbles are made of plastic. There are 18 marbles in all.

Divide, and simiplify.

(3/18)/(3/3) = 1/6

1/6 is the probability of it being a green plastic marble.

~

It's a linear function. We need only two points to the plotting of the graph.

[tex]3x+2y=12\qquad\text{subtract 3x from both sides}\\\\2y=-3x+12\qquad\text{divide both sides by 2}\\\\y=-\dfrac{3}{2}x+6\\\\for\ x=0\to y=-\dfrac{3}{2}(0)+6=0+6=6\to(0,\ 6)\\\\for\ x=4\to y=-\dfrac{3}{2}(4)+6=-6+6=0\to(4,\ 0)[/tex]

You can add two square roots of the numbers if the numbers are the same:

[tex]\sqrt{a}+\sqrt{a}=2\sqrt{a}\\\\n\sqrt{a}+m\sqrt{a}=(n+m)\sqrt{a}\\\\\sqrt{a}+\sqrt{b}=\sqrt{a}+\sqrt{b}[/tex]

Final answer:

To find the sum of square roots, you can add the square roots together if the numbers underneath are the same. If the numbers are different, you cannot simplify them further.

Explanation:

To find the sum of a square root, you need to add the square roots together. However, the numbers under the square roots must be the same. For example, if you have √2 + √2, you can add them to get 2√2. But if you have √2 + √3, you cannot simplify it any further.

Another way to find the sum of square roots is to simplify them using the multiplication property. For example, if you have √2 + 2√2, you can combine them as (1+2)√2 = 3√2.

It is important to note that you can only add square roots with the same number underneath. If the numbers are different, you cannot simplify them further.

Answer:

Well 3/5 is .60 and 2/4 is .50 so in these regards she grew .10 more inches then her

Step-by-step explanation:

Answer:

1/10 of an inch taller

Step-by-step explanation:

3/5 2/4

12/20   10/20

2/20= 1/10

Answer:

F = 2

Step-by-step explanation: If you want to know which one is a solution, you have to substitute the numbers in for F.

F = 7:

3 > f

3 > 7

This is false because 3 is NOT greater than 7, it is less than 7.

F = 9:

3 > f

3 > 9

This is false because 3 is NOT greater than 9, it is less than 9.

F = 2:

3 > f

3 > 2

This is TRUE because 3 IS greater than 2.

Hope this help you!!! :)

Answer:

Step-by-step explanation:

Put the values of P and Q to the equation Px - 45 = Qx + 75:

15x - 45 = 15x + 75     subtract 15x from both sides

-45 = 75   FALSE

In other cases, we get some value x.

Example:

A. P = -45 and Q = -75

-45x - 45 = -75x + 75     add 45 to both sides

-45x = -75x + 120      add 75x to both sides

25x = 120       divide both sides by 25

x = 4.8

Answer:

658.24 m

Step-by-step explanation:

The figure makes a triangle with vertices abc.

Where ab = 500 m

           bc = 350 m

The angle abc = 100°

Using the cosine rule we can find the distance ac.

ac² = 500²+350² - 2×500×350×cos100°

      = 372,500 - -60,776.86

      = 433,276.86

ac = √433,276.86

    = 658.24 m

Answer:

144

Step-by-step explanation:

You just multiply 12x12

Answer:

x=2

y=-5

Step-by-step explanation:

-3(4y+22)-y=-1

-12y-66-y=-1

-13y-66=-1

-13y=65

y=-5

x=4(-5)+22

x=-20+22

x=2

Answer:

y = 5

x = 2

Step-by-step explanation:

So we know what x is already.

x = 4y + 22

Now we plug that in to the first equation.

-3 ( 4y + 22) - y = -1

Distribute the -3.

-12y - 66 - y = -1

Combined like terms:

-13y - 66 = -1

-13y = 65

Divide -13 on both sides:

y = -5

Now plug your y into the second equation:

x = 4(-5) + 22

x = -20 + 22

Simplify:

x = 2

Check your answer:

-6 - (-5) = -1

2 = -20 + 22

Answer:

D) 140

Step-by-step explanation:

The equation for direct variation is y= kx

If we know x and y we can solve for k

35 = k*2

Divide each side by 2

35/2 =k

Now the equation for direct variation is

y= 35/2 x

Given x=8 we can substitute in

y = 35/2 * 8

y = 140

Answer: D) 140

(both x and y are multiplied by 4)

Answer:

Step-by-step explanation:

y= -3x+1

you use inverse operations, and since you want the y alone, you subtract 3x on both sides, giving you y= -3x+1

Answer:

3 1/2

Step-by-step explanation:

You have to do 7 divided by 2 or 1/2 x 7

Answer:

Well it normally be 3.5

Step-by-step explanation:

You take seven and divide it by 2 (ps) if you are talking about your answer needing to be a whole answer just round up

It takes 4 ounces of blue paint and 3 ounces of red paint to make Patrick's favorite shade of purple.

Multiply the numbers by 2. This will not affect the proportion. Thus, the new statement will be true respect to the original one.

It takes 8 ounces of blue paint and 6 ounces of red paint to make Patrick's favorite shade of purple. That's answer choice B.

Multiply the original numbers by 5. Again, this will not affect the proportion, meaning that the statement will remain true.

It takes 20 ounces of blue paint and 15 ounces of red paint to make Patrick's favorite shade of purple. This is answer choice D.

Thus, the answers are answer choices B and D.

Answer:

x > -3

Step-by-step explanation:

- 4x - 10 < 2

     + 10 < + 10

- 4x < 12

-4      -4

x > -3

I think the sign flips because the negative sign is w/the X.... If it doesn't, sorry 4 being wrong...

The solution to the inequality -4x - 10 ≤ 2 obtained by isolating the variable x is x ≥ -3. This includes all real numbers x that are greater than or equal to -3.

Let's solve the inequality -4x - 10 ≤ 2 step-by-step.

Therefore, the solution to -4x - 10 ≤ 2 is x ≥ -3. This means that for any real number x that is greater than or equal to -3, the inequality -4x - 10 ≤ 2 is true.

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[tex]y = -\frac{1}{4}x +4\ /\cdot4\\4y=-x+16\\x+4y=16\\C[/tex]

Answer:

C) x + 4y = 16

Step-by-step explanation:

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers.

As we need all the coefficients to be integers, we have to multiply by 4 on both sides of the equation (that will make the coefficient of x integer). We have to multiply it on both sides because is an equation.

4*y = 4*(-1/4x + 4)

4y = -x + 16

Now we need the x-term to be on the left side of the equation, so we add x on both sides:

x + 4y = -x + 16 + x

x + 4y = 16

[tex]Use:\\\\a(b-c)=ab-ac\\\\a^n\cdot a^m=a^{n+m}[/tex]

[tex]10c^4(9-8c^2)=(10c^4)(9)-(10c^4)(8c^2)=90c^4-80c^{4+2}\\\\=\boxed{90c^4-80c^6}[/tex]

Each "x" represents one tree that produced that amount of sap in gallons.

To find the total amount of sap produced, add all of the amount of sap produced from each tree

3 trees produced 1/4 gallons of sap

2 trees produced 3/8 gallons of sap

4 trees produced 5/8 gallons of sap

1 tree produced 1 gallon of sap

You can do this:

[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8} +\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+1[/tex]

[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]      

[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same

[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]

5 gallons

Or you could have done:

[tex](\frac{1}{4} *3)+(\frac{3}{8}*2)+(\frac{5}{8}*4)+(1*1)[/tex]

[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]      

[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same

[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]

5 gallons

Answer:

5 gallons

Step-by-step explanation:

because if u add all togather u get 6/8+26/8+8/8+40/8= It would be 5 Gallons