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4 years ago

If you’re smart you will answer this

Mathematics

1 answer:

uysha [10]4 years ago

4 0

Let the length of segment AB be x.

BC then is AB + 6 or x + 6.

AC is AB + BC - 13 or x + x + 6 - 13 = 2x - 7

The sum of the three lengths is 78.

x + x + 6 + 2x - 7 = 78

4x - 1 = 78

4x = 79

x = 19.75

BC = x + 6 = 19.75 + 6 = 25.75

Answer: B. 25.75 mm

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3 years ago

The following formula relates the quantities temperature in Celsius (C) and temperature in kelvins (K).

Oksanka [162]

Answer:

The other two related equations are: $C+273.15= K$ and $K-C= 273.15$

Step-by-step explanation:

The formula that relates the quantities temperature in Celsius (C) and temperature in kelvins (K) is given by: $C= K-273.15$

First we can add 273.15 to both sides of the equation. So, we will get.....

$C+273.15= K-273.15+273.15\\ \\ C+273.15= K$

Now, we can also subtract K from both sides of the original equation. So, we will get..........

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3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

Artist 52 [7]

X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
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4 years ago

Read 2 more answers

Solve using the quadratic formula. Approximate answers to the nearest tenth.

-BARSIC- [3]

Answer:

$\displaystyle x=-1, \ 8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

Step 1: Define

Identify variables

x² - 7x - 8

↓

a = 1, b = -7, c = -8

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{7 \pm \sqrt{(-7)^2-4(1)(-8)}}{2(1)}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{7 \pm \sqrt{49-4(1)(-8)}}{2(1)}$
[√Radical] Multiply: $\displaystyle x=\frac{7 \pm \sqrt{49 + 32}}{2(1)}$
[√Radical] Add: $\displaystyle x=\frac{7 \pm \sqrt{81}}{2(1)}$
[√Radical] Evaluate: $\displaystyle x=\frac{7 \pm 9}{2(1)}$
Multiply: $\displaystyle x=\frac{7 \pm 9}{2}$
Add/Subtract: $\displaystyle x=\frac{-2}{2}, \ \frac{16}{2}$
Divide: $\displaystyle x=-1, \ 8$

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3 years ago