Classify the triangle based on the side lengths 7. 15 and 21​

Answer:

x < -5 (the first option)

Step-by-step explanation:

I hope this helps!

The solution of the inequality will be;

⇒ x < - 5

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 15x > 75

Now,

Since, The inequality is,

⇒ - 15x > 75

Hence, The solution of the inequality is,

⇒ - 15x > 75

⇒ - x > 75/15

⇒ - x > 5

⇒ x < - 5

Thus, The solution of the inequality is,

⇒ x < - 5

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Answer:

60

Step-by-step explanation:

10 ×6

that is the simple answer to your question

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

Answer:

A

Step-by-step explanation:

They both equal 2(x+y+1)

Answer:

The slope of function A is less than the slope of function B

Explanation:

The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.

Answer:

the slope on Function A is less than Function B

Step-by-step explanation:

By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

Answer:

Graph 1

Domain = -8 =< x =< 10

Range = -9 =< f(x) =< 9

Graph 2

Domain = -1 =< x =< 5

Range = -1 =< f(x) =< 2

Explaination:

Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).

Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

Answer: (f(x2) - f(x1)) / (x2 - x1)

because the slope of a line is the ratio "y coordinate change / x coordinate change".

Step-by-step explanation: HOPE IT HELPS YOU .THANKS .

Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.

So,

16 = x + 36

16 - 36 = x

-20 = x

______

Hope it helps ⚜

Answer:

c on edge YW

Step-by-step explanation:

The value of ∛4 × √3 is 2.75 or  [tex]\sqrt[6]{432}[/tex].

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Expression,

product 3 sqrt 4 times sqrt 3.

In numerator form:

As per the given expression,

∛4 × √3

Simplifying,

∛4 × √3

= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]

= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]

= [tex]\sqrt[6]{16 + 27}[/tex]

= [tex]\sqrt[6]{432}[/tex]

= 2.749

= 2.75

Therefore, the product is 2.75 or  [tex]\sqrt[6]{432}[/tex].

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Answer:

x = 31

Step-by-step explanation:

The given angles are supplementary and their sum is 180 degrees

5x - 16 + x + 10 = 180 add like terms

6x - 6 = 180 add 6 to both sides

6x = 186 divide both sides by 6

x = 31

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

x= 1

y= 2

2 times x(1)=2

2 times y(2)=4

2-4= -2

Answer:

1. ARITHMETIC

2. NEITHER

3. GOEMETRIC

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Answer:

26.3 grams

Step-by-step explanation:

36% = 36/100 = 0.36

73 * 0.36 = 26.28 grams ≈ 26.3 grams

Answer:

i think 26.3 grams

Step-by-step explanation:

0.36×73 = 26.28

When rounded to the nearest tenth, 26.28 should be equal to 26.3

So Dante's the chocolate bar contains 26.3 grams of cocoa.

The value of x is 3.

Given that,

If  [tex]5 + 20 \times 2^{2-3x}[/tex],

And Baseline = [tex]10 \times 2^{-2x}+5[/tex]

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]

                   [tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]

                    [tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]

                   [tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]

                    [tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]

Hence, The required value of x is 3.

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The statement that best describes a flaw in the students' proof is;

Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

From the given image, we can see that;

AB ≅ DC

Let us analyze each given option;

A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.

They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.

B) In ΔABD and ΔBDC, we see that;

AB = DC. Also, by theorem of alternate interior angles, we can tell that;

∠ABD = ∠BDC

Similarly, ∠BDA = ∠DBC from alternate interior angles.

Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.

C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.

D) Corresponding angles lie on the same side of the transversal.  In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.

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9

Step-by-step explanation:

let 2nd proportion be x

6:x=24:36

6÷x=24÷36

x=6×36÷24

x=9

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

Answer:

pentagon

Step-by-step explanation:

5 degree angle

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

Answer:

53.4

Step-by-step explanation:

8.9 × 6 = 53.4

Hope it help !

Answer:

A= 3x B= 6/8

Step-by-step explanation:

The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.

The quadratic function is defined as a function containing the highest power of a variable is two.

The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.

The roots of a quadratic equation can be found using the quadratic formula:

x = (-b +/- √(b² - 4ac)) / (2a)

In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:

x = (-(-14) +/- √((-14)² - 4153)) / (2*1)

x = (14 +/- √(196 - 212)) / 2

x = (14 +/- √(-16)) / 2

Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).

Therefore, the value of a is 7, and the value of b is 2√(2).

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The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

How would you interpret this solution?

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

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Answer:

a. Equilateral triangle

b. Quadrilaterals

c. Hexagon

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

Answer:

About 7 units

Step-by-step explanation:

About 7 units would be correct. 1 + 6 is 7

however 6 isn’t an option so the next closet thing is 7

HOPE THIS HELPED :3

Answer pretty sure that’s 7

Step-by-step explanation:

Answer:

10.75

Step-by-step explanation:

first step is to find how much adam paid for each towel

so, the equation used will be x/y=c

where x is total cost, y is number of products bought, and c equals individual cost (with discount)

we end up with 105/14= 7.5$ per towel.

and to close out, we add the given discount of 3.25 to the discounted price of 7.5

which brings the usual price per towel to 10.25

Answer:

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

we rewrite in vertex form and use this form to find the vertex (h,k)