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Ira Lisetskai [31]
3 years ago
12

What is 5x-4y=-7 (-20,-8)in slope intercept form

Mathematics
1 answer:
forsale [732]3 years ago
4 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following equation:

5x-4y = -7

We manipulate algebraically to write the equation of the slope-intersection form:

-4y = -7-5x\\4y = 5x + 7\\y = \frac {5} {4} x + \frac {7} {4}

We check if the given point belongs to the equation:

y = \frac {5} {4} (- 20) + \frac {7} {4}\\y = -25 + \frac {7} {4}\\y = \frac {-100 + 7} {4}\\y = - \frac {93} {4}

The point does not belong to the equation.

ANswer:

y = \frac {5} {4} x + \frac {7} {4}

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the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form
Alexeev081 [22]

Answer:

4/5

Step-by-step explanation:

<u>Given</u>,

Area of the triangle = 1/4 square meters

From the diagram,

Height = 2/5 m

<u>To find</u> : Length of the base

<u>Formula</u> : -

A = bh/2

Here,

A denotes Area

b denotes Base

h denotes Height

A = 1/4

h = 2/5

A = bh/2

Cross multiply,

A * 2 = bh

2A = bh

2 * (1/4) = b * (2/5)

(1 * 2)/4 = (b * 2)/5

2/4 = 2b/5

1/2 = 2b/5

Cross multiply,

1 * 5 = 2 * 2b

5 = 4b

b = 4/5 meters

Hence,

The length of the base is 4/5 meters.

5 0
2 years ago
Which other expression has the same value as (-14)-(-8)
sergiy2304 [10]

Answer:

(-14)+(-8)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A map of a city uses a scale of 1cm =3.5 meters. If a road shown on the maps runs for 25cm how long is the road?
choli [55]

Answer: 87.5

Step-by-step explanation: 1cm x 25cm = 87.5

5 0
3 years ago
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4. The figure represents a ramp. Find the height of the ramp.
IgorLugansk [536]
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem, a^2+b^2=c^2. Then 15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8, d. 8 m
3 0
3 years ago
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Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
denis-greek [22]

Answer:

We need to find the first term.  We can use the formula

an = a1 + d(n - 1)

to solve for a1.  We already know the 12th term, a12, common difference, d, and nth sequence, n.

a12 = -36

d = -4

n = 12

-36 = a1 - 4(12 - 1)

-36 = a1 - 44

8 = a1

The first term is 8.  Therefore, your formula is

an = 8 - 4(n - 1)

an = -4n + 12

Then use this formula to graph.

n is the independent variable.

an is the dependent variable.

Your graph will be a line.

n    |       an

___________

1          8

2          4

3          0

4         -4

5         -8

6         -12

Step-by-step explanation:

give me brainliest.

3 0
3 years ago
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