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dmitriy555 [2]
3 years ago
11

What is the standard form equation of the line shown below?

Mathematics
2 answers:
loris [4]3 years ago
8 0

Answer:

Pickel wickel XD

Step-by-step explanation:

jolli1 [7]3 years ago
4 0
(-1,5)(2,4)
slope = (4 - 5) / (2 - (-1) = -1/3

y = mx + b
slope(m) = -1/3
use either of ur points (2,4)...x = 2 and y = 4
now sub and find b, the y int
4 = -1/3(2) + b
4 = -2/3 + b
4 + 2/3 = b
12/3 + 2/3 = b
14/3 = b

so ur equation is : y = -1/3x + 14/3....however, this is not ur answer because it is not in standard form.

y = -1/3x + 14/3
1/3x + y = 14/3....multiply both sides by 3
x + 3y = 14 <=== standard form
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A car's velocity changes at a rate of 36 miles per hour in 0.5 hour.
kotegsom [21]

Answer:

72

Step-by-step explanation:

In order to find the acceleration we need first to defined it, so:

acceleration=((final velocity)-(initial velocity))/time interval

a=(vf-vi)/dt

But (vf-vi) actually represents the velocity change, so (vf-vi)/dt represents the velocity change rate. This means that in our case:

a=(36miles/hour)/(0.5hours)

a=72miles/hour^2

In conclusion the acceleration is a=72miles/hour^2, without units just 72.

7 0
3 years ago
Find the unit price
Mrac [35]

Answer:

Price per ounce is $0.062

Step-by-step explanation:

Here, we want to find the unit price in which this vase is price per ounce

Firstly, we need the total ounce value

1 pound = 16 ounce

so two pounds will be 2 * 16 = 32 ounces

So the total ounce value is 32 ounces + 8 ounce = 40 ounces

So 40 ounces = $2.48

price per ounce will be $2.48/40 = $0.062 per ounce

3 0
3 years ago
Problem 18 Last summer, Lisa and her family went on vacation. They drove from their home to Florida. They drove four days, about
Maru [420]

Answer:

2160

Step-by-step explanation:

Distance covered per day =540miles

Number of days travelled = 4 days

Therefore,the mil we s travelled altogether= 540×4= 2160

4 0
2 years ago
DESPERATE PLEASE ANSWER FAST
Nonamiya [84]

Answer:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

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Time (years)Savings account balance ($)

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Time (years)

Savings account balance ($)

1

1300

2

2500

3

3600

4

4000

5

2200

6

1800

7

3200

8

9000

Step-by-step explanation:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

0

Time (years)

Savings account balance ($)

1

1300

2

2500

3

3600

4

4000

5

2200

6

1800

7

3200

8

9000

4 0
3 years ago
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I
Elanso [62]

Answer:

NK \approx 7.001, MK = 2, MF \approx 7.001, A_{AMNFD} = 49.007

Step-by-step explanation:

According to the statement, we find the following inputs:

\angle MDK = \angle DMF = 45^{\circ} (Due to the condition of isosceles trapezoid)

MD = 9

NF = 5

Given than longer base and shorter base are parallel to each other, we conclude that:

\angle KND = 180^{\circ} -\angle NKD - \angle KDN

\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}

\angle KND = 45^{\circ}

\angle FND = 90^{\circ}-\angle KND

\angle FND = 45^{\circ} (By definition of complementary angles)

\angle FND = \angle NFM = 45^{\circ} (Due to the condition of isosceles trapezoid)

\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}

\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ} (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

MO = DO = \frac{\sqrt{2}}{2}\cdot MD (By theorem for 45-45-90 Right Triangle)

NO = OF = \frac{\sqrt{2}}{2}\cdot NF (By theorem for 45-45-90 Right Triangle)

If we know that MD = 9 and NF = 5, then we find that:

DO = MO \approx 6.364

NO = OF \approx 3.536

The value of MK is obtained from the following relationship:

MK = \frac{MD-NF}{2}

MK = \frac{9-5}{2}

MK = 2

And the value of KD is calculated from this expression:

KD = MD-MK

KD = 9-2

KD = 7

Now by the Pythagorean Theorem we find that:

NK = \sqrt{(NO+DO)^{2}-KD^{2}}

NK = \sqrt{9.9^{2}-7^{2}}

NK \approx 7.001

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

MF = NO + DO \approx 7.001

Lastly, the area of the isosceles trapezoid is determined by the following formula:

A_{AMNFD} = NF\cdot NK + MK\cdot NK

A_{AMNFD} = NK\cdot (NF+MK)

If we know that NK \approx 7.001, NF = 5 and MK = 2, then the area of the figure is:

A_{AMNFD} = (7.001)\cdot (5+2)

A_{AMNFD} = 49.007

8 0
3 years ago
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