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3 years ago

Use the point-slope equation to identify the slope and the coordinates of a point

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{1}{2}$ (x - 1) ← is in point- slope form

with slope m = $\frac{1}{2}$

and (a, b) = (1, 4 ) ← point on the line

bagirrra123 [75]3 years ago

7 0

Answer:

The slope of the line is m = 1/2

A point on the line is (1, 4)

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One-half of a number, increased by 69 is 74. What is the number?

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Answer:

Step-by-step explanation:

let the number be n then half the number is $\frac{1}{2}$ n , so

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$\frac{1}{2}$ n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

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Step-by-step explanation:

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3 years ago

Some beads were in a box. Anne used 17 of them. Then there were 56 beads in the box. How many were in the box to begin with?

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3 years ago

Jeremiah bought three gallons of ice cream and four containers of strawberries for $19.50. Gary bought five gallons of ice cream

Gennadij [26K]

Answer:

Cost of $1$ gallon of ice cream $=\$3.5$

Cost of $1$ container of strawberries $=\$2.25$

Step-by-step explanation:

Let cost of $1$ gallon ice cream $=\$x$

Let cost of $1$ container of strawberries $=\$y$

Jeremiah's purchase

Jeremiah bought $3$ gallon of ice cream

so total spend on ice cream = cost of $1$ gallon $\times$ total gallons

$=x\times3\\=3x$

Jeremiah bought $4$ container of strawberries

So total spend on = strawberries =cost pf $1$ container $\times$ total container

$=y\times4\\=4y$

Jeremiah's total expenditure $=\$19.50$

$3x+4y=19.50 .......(1)$

Gary's purchase

Gary bought $5$ gallons of ice cream

so total spend on ice cream = $5\times x=5x$

Gary bough $2$ containers of strawberries

so total spend on strawberries = $2\times y=2y$

Gary's total expenditure $=\$22$

$5x+2y=22.....(2)$

solve eqn(1) and eqn(2)

$3x+4y=19.50\\5x+2y=22$

multiply eqn(2) by (2) and eqn(2)-eqn(3)

$(10x-3x)+(4y-4y)=(44-19.50)\\\\7x=24.5\\\\x=\frac{24.5}{7}\\\\x=3.5$

Substitute in eqn(2)

$5\times3.5+2y=22\\\\2y=22-5\times3.5=22-17.5\\\\2y=4.5\\\\y=\frac{4.5}{2}\\\\y=2.25$

Cost of $1$ gallon of ice cream $=\$3.5$

Cost of $1$ container of strawberries $=\$2.25$

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3 years ago

What is +3-5 Need to know asap

Iteru [2.4K]

-2 is the answer, its very simple

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4 years ago