the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

The absolute value function that could represent this situation is:

[tex]|D - 42.67| = 0.002[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

[tex]|D - 42.67| = 0.002[/tex]

A similar problem is given at https://brainly.com/question/24514895

Answer:

2n + 14 = 30

n = 8

Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

Then they said that the sum of 2n + 14 = 30

If you want to find the value of n, subtract 14 from both sides:

2n = 16

Then divide by 2 on both sides:

n = 8

I hope this helps!

Answer:

C = 13

Step-by-step explanation:

A²+B²=C²

where c is the hypothenuse

5²+12²=c²

25+144=c²

169=c²

√169 = c

13 = c

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

Answer:

18.9

Step-by-step explanation:

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

LMC (18,21) = 126

ok done. Thank to me :>

Answer:

Step-by-step explanation:

Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

Answer:

- 125

Step-by-step explanation:

Answer: about 120??

Step-by-step explanation: pls leave a thanks if helped <3

Answer: 120 bagels

Step-by-step explanation:

$50/$5 = 10 dozens of bagels

10 dozens x 12 = 120 bagels in total

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

The vertex of a parabola is the minimum or the maximum point of the parabola.

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

The equation of the parabola is given as:

[tex]\mathbf{y = ax^2 + bx}[/tex]

For the vertex of the parabola to be in the second quadrant, then the following must be true:

a > 0 and b > 0

Take for instance:

a = 2, and b = 1

So, we have:

[tex]\mathbf{y = 2x^2 + 1x}[/tex]

Rewrite as:

[tex]\mathbf{y = 2x^2 + x}[/tex]

Factor out x

[tex]\mathbf{y = x(2x + 1)}[/tex]

So, the line equation is:

[tex]\mathbf{y = 2x + 1}[/tex]

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

Read more about parabolas at:

https://brainly.com/question/20333425

Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

Answer:

$ 50.00

Step-by-step explanation:

Hope this helps!

Answer:

4th one

Step-by-step explanation:

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

Answer:

(g°f)(x) = 54x^2 - 144x + 101

Step-by-step explanation:

(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126