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2 years ago

15

Fiona is playing fetch with her dog. She is standing at the coordinate point (7, - 5). When she throws the stick, it lands at th

e
coordinate point (-1,10). How far did Fiona throw the stick.

1 answer:

klemol [59]2 years ago

6 0

15/8 pretty much I know right

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Margie's car can go 32 32 miles on a gallon of gas, and gas currently costs 4 4 per gallon. How many miles can Margie drive on $

meriva

X=$20/$4
x=5 gallons

x is the amount of gallons.

1 gallon=32 miles
5 gallons=160 miles

Margie can drive 160 miles on $20 of gas

4 0

3 years ago

During the 2005 football season, Team Tackle beat Team Sack by 6 points. If their combined scores totaled 60, find the individ

Travka [436]

2x+6=60

2x=60-6

2x=54

x=54/2

x=27

27+27+6=60

8 0

3 years ago

Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?

Bond [772]

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

$y=-\frac{1}{5}x+\frac{13}{5}$

Step-by-step explanation:

Given the equation

$5x - y = 12$

converting the line into the slope-intercept form y = mx+b, where m is the slope

$-y = 12-5x$

$y = 5x-12$

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

$y-y_1=m\left(x-x_1\right)$

$y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)$

$y-3=-\frac{1}{5}\left(x+2\right)$

Add 3 to both sides

$y-3+3=-\frac{1}{5}\left(x+2\right)+3$

$y=-\frac{1}{5}x+\frac{13}{5}$

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

$y=-\frac{1}{5}x+\frac{13}{5}$

5 0

3 years ago

You are taxed at a rate of 5% for all online purchases and 8.5% for all in-store purchases. If you pay a total of 40$ in taxes i

Zina [86]

$x+y=500$
$0.05x+0.085y=40
$
Multiply both sides of second equation by 20 to get $x+1.7y=800$
Subtract that from first equation to get $0.7y=300$
Divide both sides by 0.7 to get $y=428.571$ , so about $428.57 was spent in store. This leaves $500-428.57=$71.43$ that was spent online

4 0

3 years ago

I need to find AB and DE

MatroZZZ [7]

Answer:

AB = 21 and DE = 23

Step-by-step explanation:

Given 2 intersecting chords inside the circle then

The products of the measures of the parts of one chord is equal to the products of the measures of the parts of the other chord, that is

x(x + 13) = (x + 10)(x + 1) ← distribute parenthesis on both sides

x² + 13x = x² + 11x + 10 ← subtract x² + 11x from both sides

2x = 10 ( divide both sides by 2 )

x = 5

Hence

AB = x + 10 + x + 1 = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21

DE = x + x + 13 = 2x + 13 = (2 × 5) + 13 = 10 + 13 = 23

4 0

3 years ago