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3 years ago

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

Answer: 2x+5y+10=0

Step-by-step explanation:

The equation of the given line : $5x - 2y = -6$ which can be written as $2y=5x+6$ or $y=\dfrac{5}{2}x+3$ . (i)

Linear equation : $y=mx+c$ , where m= slope and c = intercept.

Comparing this to (i), we get $m=\dfrac{5}{2}, c=3$

Let $m_1$ be the slope of the line perpendicular to the line 5x - 2y = -6 and passes through the point (5,-4).

Since, the product of slopes of two perpendicular lines is -1.

So,

$\dfrac{5}{2}\times m_1=-1\\\\\Rightarrow\ m_1=-\dfrac{2}{5}$

Equation of line passes through (a,b) and have slope n is given by :-

$(y-b)=n(x-a)$

So, Equation of line passes through (5,-4) and have slope $\dfrac{2}{5}$ would be

$(y-(-4))=\dfrac{-2}{5}(x-5)\\\\\Rightarrow\ 5(y+4)=-2(x-5)\\\\\Rightarrow\ 5y+20=-2x+10\\\\\Rightarrow\ 2x+5y+10=0$

Required equation : $2x+5y+10=0$

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Arrange the following polynomial into descending order for x, then interpret the degree of the 3rd term. 2xy4 + 2x2y − 3y2 + 10x

malfutka [58]

To arrange the given polynomial in descending order of x, we only look at the exponent of x in each term and then write it in decreasing order of the value. We do as follows:

2xy^4 + 2x^2y − 3y^2 + 10x^3<span>
10x^3 + 2x^2 + 2xy^4 - 3y^2

The degree of the third term would be 5. The degree of a term is the sum of the exponents of the variables involved in the term.
</span>

6 0

3 years ago

jonathan has a collection of 400 marbles. Blue marbles make up17%, percent of his collection. How many blue marbles does Jonatha

dsp73

17% of 400 is 68.
Another way u can do it is 17% of 100 four times since its easier to do.
17% of 100 is 17.
we have to do this 4 times since 100 goes into 400 four times.
So 17*4 =68

5 0

2 years ago

Read 2 more answers

Item 20 A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the sc

siniylev [52]

Answer:

The ratio of the area of the school banner to the area of the sign is <u>1944 cubic inches : 192.61 cubic inches.</u>

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be $x.$