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3 years ago

What is the equation of the line perpendicular to 2x − 5y = −35 that contains the point (10, 4)?

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Perpendicular has slope that multiplies to -1 in other sloope

thsi one

2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42

marishachu [46]3 years ago

3 0

I left the equation in the gradient-intercept form which is just the form where the 'y' variable in the equation is with a coefficient of 1.... Hope you can see the picture though.<span />

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3 years ago

) Picture frames are produced such that the four sides of a picture frame consist of two pieces from a population whose mean len

Natali [406]

Answer:

The mean perimeter of frame = 38 cm

Step-by-step explanation:

By perimeter of a rectangle, the formula is given as:

Perimeter of rectangle = 2(A + B)

Going by the illustration in the question, the perimeter is

==> 2(32 + 44) = 152 cm.

However, we a given the mean perimeter of the frame which are:

32 and 44. We can either choose to say; each sides is (32 by 32) and (44 by 44). Or we consider it in mean/average term as given: (32 by 44).

Case 1: To obtain the mean perimeter of the frame using the first scenario, we say:

Mean perimeter = (32+32+44+44)/4 = 38 cm.

Case 2: We can simply say:

Mean perimeter = (32 + 44)/2 = 38 cm.

Graphically: Assuming that the frame is given below

32 cm

---------------------------------

| |

44 cm| | 44 cm

| |

----------------------------------

32 cm

The mean of upper frame/bars = 32 cm

The mean of side frame/bars = 44 cm

Hence, the mean of the perimeter = (32 + 44)/2 = 38 cm

OR,

we take the sum of all the sides (32 + 44 + 32 + 44) and divide by total number of sides (4). That is;

The mean of the perimeter = (32 + 44 + 32 + 44)/4 = 38 cm

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3 years ago

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

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Answer:

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assume no. of student is infinite

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2 years ago

Write each phrase as an algebraic expression.<br> 16 seconds faster than Aya’s time.

Anna35 [415]

Given:

The given phrase is 16 seconds faster than Aya’s time.

To find:

The algebraic expression for the given phrase.

Solution:

Let x be the Aya’s time.

16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.

We know that a negative sign "-" is used for less than.

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