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olga55 [171]
2 years ago
9

Write an equation of the line. Express the answer using either the general form or the​ slope-intercept form of the equation of

a line.

Mathematics
1 answer:
Georgia [21]2 years ago
7 0

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

m = 1

Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

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How do you know what angle degree goes on each corner?
Dahasolnce [82]

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}

Let's move on to angle e,

\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}

Let's move on to angle d,

d=110^o\text{ (V}ertically\text{ opposite angles)}

Moving to angle c, we have;

c=45^o\text{ (Vertically opposite angles)}

And, angle a;

\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}

8 0
1 year ago
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
Shana used a table to multiply the polynomials 2x + y and 5x – y + 3. Her work is shown below.
Agata [3.3K]

Answer:

-2y, -2xy

Step-by-step explanation:

got it correct on the assignment :)

4 0
2 years ago
Read 2 more answers
rosa works north of her home. her husband works east they leave at the sane time. by the time rosa is 7 miles from home, the dis
Gennadij [26K]

This problem requires the Pythagorean therom.

The distance between them is 7.

Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.

So rosa is \sqrt{7^2-6^2}

So rosa is \sqrt{13} miles away from home.

Rosa is about 3.6 miles from home.

7 0
3 years ago
Jose Canseco hit three fifth-deck home runs at SkyDome/Rogers Centre during his career, including the first ever at the stadium
Mademuasel [1]

Answer:

187 ft/s

Step-by-step explanation:

Given in the y direction:

v₀ = 0 ft/s

Δy = 75 ft

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.165 s

Given in the x direction:

Δx = 480 ft

a = 0 ft/s²

t = 2.165 s

Find: v₀

Δx = v₀ t + ½ at²

(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²

v₀ = 187 ft/s

4 0
3 years ago
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