MATHEMATICS HIGH SCHOOL

On the graph of the equation 2x + 5y = −30, what is the value of the y-intercept?

Answers

Answer 1

Answer:

The value of y intercept in the given equation of line is -6 or (0,-6) .

Given,

Equation of line :

2x + 5y = −30

Now,

y intercept is when the line crosses the y axis or when x = 0

Substitute x = 0 in the equation of line to get the y intercept value .

So,

2(0)+5y=-30

0+5y=-30

5y=-30

divide 5

y=-6

Thus,

value of y intercept is -6 or (0,-6)

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Answer 2

Answer: y intercept is when the line crosses the y axis or when x=0
set x=0

2(0)+5y=-30
0+5y=-30
5y=-30
divide 5
y=-6

value of y intercept is -6 or (0,-6)

Related Questions

Two circles are concentric if they have the same center. Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large? (x – 4)2 + (y – 6)2 = 4 (x – 4)2 + (y – 6)2 = 16 (x – 6)2 + (y – 4)2 = 16 (x – 6)2 + (y – 4)2 = 4
What is simpler answer to 28 over 35
Solve each system of equations by graphing y=-1/2x+5 and y=3x-2
For what value of k are the two lines 2x + ky = 3 and x + y = 1 parallel?
Simplify the expression (3+5)6

Melinda, a carpet installer, brings 270 square feet of carpet padding on an installation job. After the job is finished, she has 1⁄5 of the carpet padding left over. How many square feet of carpet padding did Melinda use? A. 230
B. 54
C. 216
D. 244

Answers

A correct option is an option (B).

Given,

The total area of the carpet is 270 square feet.

Fraction:

it is also termed as a portion or section of any quantity. It is denoted by using the ‘/’ symbol, such as a/b. For example, 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator. A fraction is a word that is originated from Latin. In Latin, “Fractus” means “broken”.

Now, $(1)/(5)$ of the carpet padding leftover.

So, $(1)/(5)$ of 270 square feet is,

$(1)/(5) *270=54$

So, 54 square feet is left.

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Answer:

c 216

Step-by-step explanation:

270 divide by 5 equals 54

54 times 5 equals 270

270 - 54 equals 216

Which point is a solution of x + 2y ≤ 4?(2, 4)

(1, 1)

(3, 5)

(-1, 5)

Answers

Answer:

The point that is a solution of x + 2y ≤ 4, is (1,1)

Step-by-step explanation:

Given x + 2y ≤ 4, to teste if a point is a solution of the inequation you have to replace each par of values in the inequation and see the result.

So,

(2,4) ⇒ 2 + 2·4 ≤ 4 ⇒ 8 ≤ 4, this is not correct.

(1,1) ⇒ 1 + 2·1 ≤ 4 ⇒ 3 ≤ 4, is correct.

(3,5) ⇒ 3 + 2·5 ≤ 4 ⇒ 13 ≤ 4, this is not correct.

(-1,5) ⇒ -1 + 2·5 ≤ 4 ⇒ 9 ≤ 4, this is not correct.

Summarizing the only point that is solution of x + 2y ≤ 4, is (1,1)

(1,1) because x + 2y <4
=1 + 2(1)
= 3 which is less than 4

What is the measure of angle A ?
what is the measure of angle B ?

Answers

Answer:

$\angle\,A=72^o\n\angle\,B=108^o$

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles $\angle \,A$ and $\angle \,C$ must equal each other. Then, based on the info given, we can write the following equation:

$3\,y+27^o=5\,y-3^o\n27^o+3^o=5\,y-3\,y\n30^o=2\,y\ny=15^o$

Then, angle $\angle \,A$ = $5\,(15^o)-3^o=72^o$ which is also equal to angle B

and since the addition of all internal angles of the parallelogram must equal $360^o$ , then:

$B+D=360^o-72^o-72^o=216^o$

and therefore, since $\angle \,B$ and $\angle \,D$ must be equal, then:

$\angle\,B=(216^o)/(2) =108^o$

a car wheel has a 14 inches radius. through what angle does the wheel turn when the car rolls forward 2 ft???? ...?

Answers

arc length = rad * angle2 ft = 14 inch * angle2*12 inch = 14 inch * angleangle = 24/14 inch = 12/7 radiansthis angle is in radianswe need to convert it into degress so for conversion, (12/7)*(180/pi)solve it and u get 1080/11 deg or 98.2 deg

A rectangular parking lot has a perimeter of 820ft. The area of the Parking lot measures 42000 ft2. What is the width of the parking lot.

Answers

2W + 2L = 820
LW = 42,000 or L = 42,000/W
substitute second equation into first equation:
2W + 2(42,000/W) = 820
2W + 84,000/W = 820
2W^2/W + 84,000/W = 820W/W
2W^2 - 820W + 84,000 = 0
quadratic formula:
W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2)
W = [820 +/- 20]/4
W = 200, 210
using second equation:
L = 42,000/200, 42,000/210 = 210, 200
The dimensions of the parking lot are 200ft by 210ft.

Answer:

Long story short, the answer is C.) 210

The spherical container has a radius of 21 cm. What is the approximate volume of the container?
Use 3.14 to approximate pi and express your answer in hundredths.

cm3

Answers

To solve this, we need the formula for the volume of a sphere. The formula is expressed as the 4/3 of the product of the cube of the radius and pi.
Volume = 4/3 (π x r^3)

Substituting the given values, we have:

Volume = 4/3 (3.14 x 21^3)
Volume = 38772.720 cm^3

Thus, the approximate volume of the container is 38772.720 cm^3.

Answer:because it’s a spherical container, and you’re looknng for the volume, the correct answer is 38772.720

Step-by-step explanation:

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