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
notka56 [123]
3 years ago
8

The line with x-intercept of 10 and y- intercept of -2.

Mathematics
1 answer:
Yuri [45]3 years ago
8 0

Answer:

y = \frac{1}{5} x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)

m = \frac{-2-0}{0-10} = \frac{-2}{-10} = \frac{1}{5}

The y- intercept c = - 2

y = \frac{1}{5} x - 2 ← equation of line

You might be interested in
Please HELPppppppppppppppp
aleksandr82 [10.1K]

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

6 0
3 years ago
How do I do these please help
AfilCa [17]
Your equation for number one is 600,788,188/760,507,625 = x/100
After cross multiplying you will get 760,507,625x = 60,078,818,800
Then you will divide by <span>760,507,625 to isolate the varible to get 78.99 = x.

Your equation in number two is 80/143 = x/100 because when you subtract 143  by 63 you get 80, the amount of males in the room. Then you cross multiply to get, 143x = 8000. Then you would divide both sides by 143 to isolate the varible to get 55%</span>
6 0
4 years ago
What is the value of ln e^4
sineoko [7]

Answer:

\large\boxed{\ln e^4=4}

Step-by-step explanation:

Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4

3 0
3 years ago
Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}

6 0
2 years ago
A rectangle has an area of 40cm cubed and a length of eight cm sketch the rectangle and grind the width
crimeas [40]
40 divided by 8= 5
the width is 5
6 0
3 years ago
Other questions:
  • What is m. 8(3+7m)=360​
    5·1 answer
  • North side dormitory just purchased a new DVD player on sale for $416. The sale price was 80% of the original price. What was th
    11·1 answer
  • Luisa earned $33 for working 5 hours. How much should she expect to make for working 8 hours? $20.60 $36.00 $48.00 $52.80 
    12·2 answers
  • How do I solve this ? Where do I start?
    9·1 answer
  • A car rents for $200 per week plus $0.25 per mile.find the rental cost for a two-week trip of 500 miles for a group of three peo
    7·2 answers
  • WILL MARK BRAINLIEST!! help with the circled one please
    6·1 answer
  • Question 7 of 10
    11·1 answer
  • What is this graphs slope?
    6·1 answer
  • Does anyone know the answer? Please and Thank you!
    11·1 answer
  • Drag the tiles to the correct boxes to complete the pairs. Match each system of inequalities to the graph representing its solut
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!