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What is the equation of the line that is perpendicular to y=2x+4 and passes through the points (4 6)

Anuta_ua [19.1K]

Answer:

y=-0.5x+8

Step-by-step explanation:

Opposite reciprocal of 2: -0.5

6=-0.5*4+b

6=-2+b

b=8

6 0

3 years ago

I need help on this math problem

Mila [183]

Answer:

x = 2

y = —3

Step-by-step explanation:

3x — 9 = —2x + 1

x = 2

y = —3

8 0

3 years ago

The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price

spayn [35]

Answer:

A box of 50 stickers would cost $13

Explanation:

1- getting the equation representing the price:

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

We are given that:

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

i. getting the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2$

The equation now became: y = 0.2x + c

ii. getting the y-intercept:

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

The final equation is:

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

2- getting the price of a box with 50 stickers:

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

This is done as follows:

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0

3 years ago

I need help..................

Angelina_Jolie [31]

1.0 2.39 3.3 4.-17 5.. 15 6. -24 7. 43 8. 39 9. -11 10.-17

5 0

3 years ago

Read 2 more answers

Which the slope-intercept form of the equation of each line the slope and y-intercept?

Delvig [45]

SPOTLIGHT DEMYSTIFIED QUIZZES GALLERIES LISTS ON THIS DAY BIOGRAPHIESSEARCH BRITANNICAWhat are you looking for?SearchBROWSE POPULAR TOPICS:Pearl Harbor attack American Revolution Reign of Terror Photosynthesis Las PosadasYou have reached Britannica's public website.For ad-free access to your Britannica School or Library account CLICK HEREChemical compoundWRITTEN BY: Melvyn C. UsselmanRichard O.C. NormanSteven S. ZumdahlCarl R. NollerSee Article HistoryChemical compound, any substance composed of identical moleculesconsisting of atoms of two or more chemical elements.Methane, in which four hydrogen atoms are bound to a single carbon atom, is an example of a basic chemical compound. The structures of chemical compounds are influenced by complex factors, such as bond angles and bond length.Encyclopædia Britannica, Inc.All the matter in the universe is composed of the atoms of more than 100 different chemical elements, which are found both in pure form and combined in chemical compounds. A sample of any given pure element is composed only of the atoms characteristic of that element, and the atoms of each element are unique. For example, the atoms that constitute carbon are different from those that make up iron, which are in turn different from those of gold. Every element is designated by a unique symbol consisting of one, two, or three letters arising from either the current element name or its original (often Latin) name. For example, the symbols for carbon, hydrogen, and oxygen are simply C, H, and O, respectively. The symbol for iron is Fe, from its original Latin name ferrum. The fundamental principle of the science of chemistry is that the atoms of different elements can combine with one another to form chemical compounds. Methane, for example, which is formed from the elements carbon and hydrogen in the ratio four hydrogen atoms for each carbon atom, is known to contain distinct CH4 molecules. The formula of a compound—such as CH4—indicates the types of atoms present, with subscripts representing the relative numbers of atoms (although the numeral 1 is never written).

6 0

3 years ago