A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot

Answer:

As the number of cookies eaten increases, the calories consumed increases.

Step-by-step explanation:

As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.

Then as the number of cookies increases, the calories consumed increases.

3 is the number whose four times the square is equal to twelve times 3.

An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.

Let the required number be x.

According to question we have to form an equation which will be:

4[tex]x^{2}[/tex]=12x

[tex]4x^{2} -12x=0[/tex]

4x(x-3)=0

4x=0, x-3=0

x=0, x=3

Non negative number=3

Hence 3 is the number whose 4 times square is equal to 12*3.

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24 +24 = 48

11 + 11 = 22

48 +22 = 70

 the perimeter cannot be 60 with dimensions of 24 & 11

3 7/12 = 43/12

2 7/9 = 25/9

both denominators must be the same to add together.

(25/9)x 12

(43/12) x 9

300/108 + 387/108 =

687/108

which in its simplest form is 229/36

and in a mixed number is 6 13/36

The value of P(0.6 ≤ z ≤ 2.12) is, 26%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find the value of P(0.6 ≤ z ≤ 2.12).

Now, We can simplify as;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

So, From the Cumulative Standardized Normal Distribution table,

P( z ≤ 2.12) = 0.9830

P(z < 0.6) = 0.7257

Hence, We get;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257

P(0.6 ≤ z ≤ 2.12) = 0.2573

P(0.6 ≤ z ≤ 2.12) = 0.26

P(0.6 ≤ z ≤ 2.12) = 26%

Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%

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Let's check each of the cases to determine the solution of the problem

case A) we have

[tex]x+10=-5[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex](-5)+10=-5[/tex]

[tex]5=-5[/tex] ------> the equation is not true

therefore

The value of [tex]x=-5[/tex] is not a solution of the equation

case B) we have

[tex]-x^{2} +50=25[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]-(-5)^{2} +50=25[/tex]

[tex]-(25) +50=25[/tex]

[tex]25=25[/tex] ------> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]

case C) we have

[tex]\left|2x\right|=10[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]\left|2(-5)\right|=10[/tex]

[tex]\left|-10\right|=10[/tex]

[tex]10=10[/tex] -----> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]

case D) we have

[tex]x < 0[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]-5 < 0[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]

case E) we have

[tex]2x <10[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]2*(-5) < 10[/tex]

[tex]-10 < 10[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]

the answer is

[tex]-x^{2} +50=25[/tex]

[tex]\left|2x\right|=10[/tex]

[tex]x < 0[/tex]

[tex]2x <10[/tex]

Answer:

Step-by-step explanation:

Answer:

x intercepts are (4,0) and (-9,0)

Step-by-step explanation:

The given function graphed f(x) = x² + 5x -36 and we have to find the x-intercepts.

Since x intercepts means points on x-axis which will  have y-coordinates as zero.

so f(x) = x² + 5x - 36 = 0

x² + 9x - 4x - 36 = 0

x(x+9) - 4(x-9) = 0

(x-4)=0 ⇒ x = 4

or ( x+9) = 0 ⇒ x = (-9)

Therefore, x intercepts are (4,0) and (-9,0)

Considering the definition of function quadratic and roots, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

This can be solved by:

[tex]x1, x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

In this case you know that a=1, b= 5 and c= -36. So the roots can be determined as:

[tex]x1=\frac{-5+\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x1=\frac{-5+\sqrt{25 +144} }{2}[/tex]

[tex]x1=\frac{-5+\sqrt{169} }{2}[/tex]

[tex]x1=\frac{-5+13}{2}[/tex]

[tex]x1=\frac{8}{2}[/tex]

x1= 4

and

[tex]x2=\frac{-5-\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x2=\frac{-5-\sqrt{25 +144} }{2}[/tex]

[tex]x2=\frac{-5-\sqrt{169} }{2}[/tex]

[tex]x2=\frac{-5-13 }{2}[/tex]

[tex]x2=\frac{-18 }{2}[/tex]

x2= -9

Finally, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

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To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.

To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.

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