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
Zinaida [17]
3 years ago
13

Last math question.

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

<h2>y = 5x + 11</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================

\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11

You might be interested in
Part A Prove that when x &gt; 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py
Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. c^2=a^2+b^2

Here, a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

Substitute the values,

(x^2+1)^2=(x^2-1)^2+(2x)^2

x^4+1+2x^2=x^4+1-2x^2+4x^2

x^4+1+2x^2=x^4+1+2x^2

LHS=RHS

It is a right triangle.

7 0
3 years ago
What is the distance between the florist’s shop (D) and the car wash (E)? Explain using coordinate subtraction.
VARVARA [1.3K]

Answer:

hi! once you link the picture I will answer the problem.

Step-by-step explanation:

5 0
3 years ago
( zoom in to see answer ) BUT PLS SOMEONE HELP ME
slavikrds [6]

Answer:

Hello,

If Mr. Trujilo wants to pain only the wall:

Wall:

12.5 feet x 8.5 feet = 106.25 ft2

Door

5 feet x 6.75 feet = 33.75 ft2

Wall - Door = 106.25 ft2 - 33.75 ft2 = 72.5 ft2

7 0
3 years ago
. How can you determine if two ratios are equivalent. Be sure to include examples to support you response.
BabaBlast [244]

Answer:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.

7 0
3 years ago
Can someone help me find the value of x
tia_tia [17]
60 because all of the sides are equal
3 0
3 years ago
Read 2 more answers
Other questions:
  • Continue the number pattern/sequence:
    12·1 answer
  • A net worth statement, financial goals, and a budget are all part of a _____. saving and investing plan savings account long-ter
    12·2 answers
  • Please help me i have inly minutes left​
    12·1 answer
  • Solve for x: x^2 + 28x = 60
    6·1 answer
  • Can someone help me please
    9·2 answers
  • Is the following relation a function? (1 point)
    11·2 answers
  • The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
    10·2 answers
  • Please help lots of points rewarded
    11·2 answers
  • My math problem went from 10a+15=65 to 10a+15-15=65-15. Explain what happened in this step.
    12·2 answers
  • Which is correct about how air typically moves? (1 point) O Air moves from high-pressure areas to low-pressure areas. O High-pre
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!