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3 years ago

What is the x-intercept of the line with the equation 1/2x + y= -15 ? Please help

1 answer:

6 0

First you would try to get the y variable by itself which you can do by subtracing 1/2x on both side. The equation would be y=-1/2x-15. You would then plug this into your graphing calculator and get the answer. If you do not have one, the x-intercept would be (0,-15) and the y-intercept would be (-30,0)

You might be interested in

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

5. What is the surface area of this triangular pyramid?

Zielflug [23.3K]

Answer: 5cm

Heiwlqmrbeh

6 0

3 years ago

PLZ HELP ME HURRY PWEASE!!!!!!!!!

Anna71 [15]

Answer:

1.5.80 miles

2.9.80ft

3.56 inches

4.5.20 units

5. 13 units

6.5.40 ft

Step-by-step explanation:

⇒These questions are on the Pythagorean relationship

⇒General expression is ;

a²+b²=c² where a and b are values for the legs and c is the hypotenuse

1. Isaiah waked 3 miles north and 5 miles east.

Finding the distance from starting point we apply the equation;

a²+b²=c² where a=5 miles and b=3miles

5²+3²=c²

25+9=c²

34=c²

c=√34 = 5.80 miles

2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.

a²+b²=c²

2²+b²=10²

4+b²=100

b²=100-4

b=√96

b=9.80 ft

3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of the television which represents the side b

a²+ b²=c²

42²+b²=70²

b²=70²-42²

b=√3136

c=56 inches

4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.

c= 6 units and a=6/2= 3 units

a²+b²=c² 3²+ b²= 6²

9+b²=36

b²=36-9

b=√27 =5.20 units

5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;

a²+b²=c²..........where a=5 and b=12

5²+12²=c²

25+144=c²⇒⇒⇒c=√169 =13 units

6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.

a²+b²=c²

5²+2²=c²

25+4=c²

29=c²

√29=c

c=5.40 ft

5 0

3 years ago

Rounded to the nearest dime ,what is the greatest amount of money that rounds to $105.40?What is the least amount of money that

victus00 [196]

$100.00 rounded value
$105.00 rounded value
$110.00 rounded value

For example,
14,494 
To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is: 
10, 000 = ten thousand 
4, 000 = thousands 
400 = hundreds 
90 = tens 
4 = ones 
Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.

3 0

3 years ago

Ryan has a school bag. He has 6 books, of which 2 are math books. What is the probability that a randomly selected book will be

Pavel [41]

1/3

2 of the books are math books and there are 6 books. This is 2/6. Now, divide both sides of the fraction by 2 to simplify it. This gives you a final answer of 1/3.

6 0

3 years ago