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2 years ago

What is the slope of the line represented by the equation y+3=4(x-5)?

Mathematics

1 answer:

Rudiy272 years ago

7 0

Answer:

the slope is 4

Step-by-step explanation:

y+3=4(x-5)

This is in point slope form

y-y1=m(x-x1)

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

The slope is 4 and a point on the line is (5,-3)

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Part A:

Soloha48 [4]

Answer:

Option D

Step-by-step explanation:

A). From the graph attached,

Arrow AB represents the RISE and arrow BC represents the RUN.

B). RUN from point A to B (Horizontal distance) = 2 units

Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]

Slope of the line segment AB = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-4}{2}$

= -2

Therefore, slope of the line = slope of the line segment AB = -2

Option D will be the correct option.

4 0

2 years ago

Solve the right triangle ABC with right angle C if B=30 degrees and c=10.

kenny6666 [7]

C=10, C=90°, B=30°, A+B+C=180°
A+30°+90°=180°⇒A=60°

cos30°=a/c
cos30°=a/10⇒a=cos30°*10
a≃8.6602

c²=a²+b²⇒b²=c²-a²
b²=10²-8.6602²⇒b²=25
b=5

3 0

3 years ago

Read 2 more answers

A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.

Hatshy [7]

<h3>Given:</h3>

P= $50,000
R= 10%
T= 5 years

P= Principal amount
R= Rate of interest
T= Time period

<h3>Solution:</h3>

$\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}$

Let's substitute according to the formula.

$A= 50000(1+ \frac{10}{100}{)}^{5}$

A= $80525.5

Now, we can find the interest paid

$\large\boxed{I= A-P}$

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

$I= 80525.5-50000$

I= $30525.5

Hence, the total amount paid after 5 years is $80525.5 and $30525.5 was paid as interest.

7 0

2 years ago

Sndnfnfndbsnsnsndndnfnfnnfnfnfndnsnzbzbxbzbbsbsbsbdjdjfjfkgkfkgkkvk k

Arturiano [62]

1246678956)7t fhiuxdc

4 0

2 years ago

Read 2 more answers

Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2

mario62 [17]

Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.

x = -7i is one root,

(x + 7i) = 0 is the factor

x = 7i is one root

(x - 7i) = 0 is the factor

x = √2 is one root

(x - √2) = 0 is the factor

So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

Multiply these out to find the polynomial...

(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²

Which simplifies to

x² - 49i² since i² = -1 , we have

x² - 49(-1)

x² + 49

Now we have...

(x² + 49)(x - √2) = 0

Now foil this out...

x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

x³ + (√2)x² + 49x - 49√2

7 0

3 years ago