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3 years ago

The answer to the triangle the hexagon and the Diamond

Mathematics

1 answer:

svp [43]3 years ago

8 0

Triangle=1
Diamond=3
Hex=7

Proofs:
1+3+3=7
1+1+1=3
1+3+7=11
7-3=4*1

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14. Which equality decibes the function in the table below?

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Answer:

x times 2.5 = y

Step-by-step explanation:

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3 years ago

What number does x stand for in this equation?

Alex777 [14]

Answer:

C. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-7x + 6 = 27

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21
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Step-by-step explanation:

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3 years ago

Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?

antoniya [11.8K]

Answer:

Equation: $(x-2)^2=16(y-2)$

Vertex: $(2,2)$

Directrix: $y=-2$

Focus: $(2,6)$

Step-by-step explanation:

Standard Form of Vertical Parabola:

Equation -> $(x-h)^2=4p(y-k)$ where $p\neq 0$
Vertex -> $(h,k)$
Directrix -> $y=k-p$
Focus -> $(h,k+p)$

We know that our vertex is $(h,k)$ -> $(2,2)$ , therefore, we can determine the value of $p$ by selecting a point from the parabola as $(x,y)$ :

$(x-h)^2=4p(y-k)$

$(x-2)^2=4p(y-2)$

$(6-2)^2=4p(3-2)$

$(4)^2=4p(1)$

$16=4p$

$4=p$

Therefore:

Directrix -> $y=k-p$ -> $y=2-4$ -> $y=-2$

Focus -> $(h,k+p)$ -> $(2,2+4)$ -> $(2,6)$

Conclusion:

Equation -> $(x-2)^2=16(y-2)$
Vertex -> $(2,2)$
Directrix -> $y=-2$
Focus -> $(2,6)$

Review the graph for a visual

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3 years ago