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NemiM [27]
3 years ago
12

2. Eliza uses the point (3, 9) to her home’s location and uses the point (6, 13) to represent the ice cream shop’s location. Eac

h unit on the graph represents 1 mi. How far her home from the ice cream shop? Show your work. Be sure to use the ordered pairs to find the distances! The y-axis scale goes by 2’s, so it can be confusing.
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer:

I'm gonna use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-3)^2 + (13-9)^2)

Distance = sqrt(3^2 + 4^2)

Distance = sqrt(9 + 16)

Distance = sqrt(25)

Distance = 5

The problem says every unit = 1 mile so 5 units = 5 miles.

Answer = 5 miles

Step-by-step explanation:

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Kisachek [45]

Answer: 20%

Step-by-step explanation: 3/15 = 1/5 = .20 = 20%

5 0
3 years ago
A Mathematics teacher gave a 20-item surprised quiz to his 25 students. All of the scores of the students were unique except for
TiliK225 [7]

Answer:

total number of students is 25

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3 years ago
The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.
slamgirl [31]

Answer:

b=-6\\c=7

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

y=a(x-x_1)(x-x_2)

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}

substitute

y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Applying the distributive property convert to expanded form

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y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)

y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7

y=x^2-6x+7

therefore

b=-6\\c=7

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statuscvo [17]
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7 0
2 years ago
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