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3 years ago

(3,5),slope -2 Show work

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Answer:

y=-2x+11

Step-by-step explanation:

equation of a line

y-b=m(x-a)

m=-2

a=3

b=5

sub into the equation

y-5= -2(x-3) multiply out the brackets and a negative multiply by negative equals positive

y-5=-2x+6

y=-2x+11

2x+y-11=0

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Six less than the product of 3 and a number is 12

tia_tia [17]

Answer: x*3 -6=12
Explanation: I assume you wanted that put into an equation

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3 years ago

PLEASE ANSWER ASAP!!!!!!!!!!!! MUCH APPRECIATED!!

Salsk061 [2.6K]

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2 years ago

The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9.

ki77a [65]

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

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Height = 25.00 inches

I think this is right

7 0

3 years ago

A banner is in the shape of a right triangle. the area is 63 inches. The height of the banner is 4 in less than twice the width

Blizzard [7]

Area=1/2 times base times height
note:bh=base times height

a=1/2bh
b=width

h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
a=1/2(2s^2-4w)
a=w^2-2w
a=63
63=w^2-2w
subtract 63 from both sdies
0=w^2-2w-63
factor
find what 2 numbers multiply to get -63 and add to get -2
the numbers are -9 and 7
so
0=(w-9)(w+7)
if xy=0 then x and/or y=0

so
w-9=0
w+7=0

solve each
w-9=0
add 9 to both sdies
w=9

w+7=0
subtract 7 from both sides
w=-7
width cannot be negative so this can be discarded

width=9

subsitute
l=2w-4
l=2(9)-4
l=18-4
l=14

legnth=14 in
width/base=9 in

5 0

3 years ago

Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?

sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = $\frac{6.25}{100}*23.90=\frac{149.375}{100}$

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

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3 years ago