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4 years ago

9. What is the equation of a line perpendicular to 3x – 4y = 24 ?

1 answer:

6 0

Perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other slope is -b/a
the given line 3x-4y=24, 4y=3x-24, y=3/4x-6 has a slope of 3/4, so the slope of the perpendicular line has a slope of -4/3
y=(-4/3)x+b, b can be any number.

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Julie has 50$ which is eight dollars more than twice what john has. How much does john have

nydimaria [60]

Answer:

John has $21.

Step-by-step explanation:

Let John's "wealth" be w. Then 2w+8 = 50, or 2w = 42, or w = 21.

John has $21. Eight more than twice this is 42+8 = 50, as expected.

3 0

3 years ago

Read 2 more answers

which of the following expresses the possible number of positive real solutions for the polynomial equation shown below

Nookie1986 [14]

The polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

In the question, we are asked for the number of positive real solutions for the polynomial equation, x³ - 4x² - 7x + 28 = 0.

To find the solutions, we do as follows:

x³ - 4x² - 7x + 28 = 0,

or, (x³ - 7x) - (4x² + 28) = 0 {Grouping},

or, x(x² - 7) - 4(x² - 7) = 0 {Taking common},

or, (x - 4)(x² - 7) = 0 {Grouping},

or, (x - 4)(x + √7)(x - √7) = 0 {Using the formula: $a^2 - b^2 = (a+b)(a-b)$ }.

By the zero-product rule, the solutions are:

x - 4 = 0, or, x = 4,

x + √7 = 0, or, x = -√7,

x - √7 = 0, or, x = √7.

Thus, the positive real solutions are 4, and √7. Hence, there are two positive real solutions.

Thus, the polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

Learn more about polynomials at

brainly.com/question/1550365

#SPJ4

The complete question is:

"Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

x³-4x²-7x+28=0

a. two or zero

b. three or one

c. one

d. two"

5 0

2 years ago

Find the missing number: QUICKLY PLEASE

MissTica

Missing value is Decreased by 20%

Step-by-step explanation:

We need to find the missing term.

As we can see from the figure we go from Decreased 10% and then decreased 10% to reach the final goal.

If we directly go from starting point to end point the total will be decreased by 20% as (10%+10%= 20%)

So, Missing value is Decreased by 20%

6 0

3 years ago

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.

EleoNora [17]

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

4 0

3 years ago

Plz help it is 10 points

Zinaida [17]

Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is $\frac{2*2}{2}$ =2.

8-2=6

And there you go! Your answer is 6.

7 0

3 years ago