1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
2 years ago
7

Find the x-intercept and

Mathematics
1 answer:
svetlana [45]2 years ago
5 0

9514 1404 393

Answer:

  x-intercept: (16, 0)

  y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

<u>x-intercept</u>

  y = 0, so we have 4x = 64   ⇒   x = 64/4 = 16

  x-intercept is (16, 0)

<u>y-intercept</u>

  x = 0, so we have 8y = 64   ⇒   y = 64/8 = 8

  y-intercept is (0, 8)

_____

<em>Additional comment</em>

There is a form of the linear equation called the "intercept form" that looks like this:

  x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

  4x/64 +8y/64 = 1

  x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

You might be interested in
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

          = 4

Hence, the value of x₂ + y₂ = 4

4 0
3 years ago
At midnight, the temperature was -8oF. At noon, the temperature was 23oF. Which expression represents the increase in temperatur
irinina [24]

Answer:

23^oF-(-8^oF)

Step-by-step explanation:

We have been given that at midnight, the temperature was -8^oF. At noon, the temperature was 23^oF.

Since our temperature has increased to 23 degree Fahrenheit from -8 degree Fahrenheit, we can represent this increase in temperature as:

\text{The increase in temperature}=23^oF-(-8^oF)

Therefore, the expression 23^oF-(-8^oF) represents the increase in temperature.  

6 0
3 years ago
Read 2 more answers
A lightbulb has a normally distributed light output with mean 5000 end foot-candles and standard deviation of 50 end foot-candle
Blizzard [7]
To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
8 0
3 years ago
Using the formula v= l x w x h find the volume of a right rectangular prism when the length of the prism is 45cm the width is 12
jeka94
V = length times width times height
V = 45 * 12 * 10
V = 5400

Hope this helps
3 0
3 years ago
1/10 Florida land area of 1700000km2 Alaska
Agata [3.3K]
1,700,000\times \frac{1}{10} = \frac{1,700,000}{10} = 170,000

<span>Florida has a land area of 170,000 km^2</span>
4 0
3 years ago
Other questions:
  • What is 170% of 97 tons???
    10·1 answer
  • its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
    10·1 answer
  • What is 3 1/4 - 1 2/4 =
    15·2 answers
  • Distributive mean to?
    11·2 answers
  • There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?
    12·2 answers
  • What is 16 times 4? help
    10·2 answers
  • PLEASE ANSWER FAST<br> what is the length of rt?<br> a - 3 cm <br> b - 1 cm<br> c- 9 cm<br> d - 4 cm
    5·2 answers
  • A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide
    10·1 answer
  • Given h ( x ) = − 3 x − 2, solve for x when h ( x ) = 1
    6·1 answer
  • Refer to the rectangular prism
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!