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
sweet-ann [11.9K]
3 years ago
5

The table below shows two equations:

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Equation 1

Subtracting 5 from both sides we have

|2x - 3| = -1      - Since  an absolute values must be positive this equation has no solutions.

Equation 2:-

|5x + 3| - 10 = 3

|5x + 3| = 13

either 5x + 3 = 13  or 5x + 3 = -13

so x = 2   or x =  -16/5 = -3.2

The correct choice is B

You might be interested in
Which of the following best describes the graph of the polynomial function below?
WARRIOR [948]

Answer:

A. The graph has two zeroes.

Step-by-step explanation:

A <em>zero of a polynomial</em> is a value of x that makes the polynomial equal to zero.

In other words, it is <em>an x-intercept</em>.

The graph crosses the x-axis twice, so there are two zeroes.

5 0
2 years ago
Read 2 more answers
Special right triangles.
Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


\Rightarrow 2m^2=144


\Rightarrow m^2=72


\Rightarrow m=\sqrt{72}


\Rightarrow m=8.49


The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.


QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be d\:ft, then using the Pythagoras theorem;

d^2=90^2+90^2


d^2=8100+8100


d^2=16200


\:d=\sqrt{16200}


\:d=127.279


Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


3 0
3 years ago
A triangle has a base length of 12 inches and a height of 14 inches. From that
Paladinen [302]
A= bh(1/2)
a=12(14)(1/2)
a= 168(1/2)
a= 84inches
3 0
2 years ago
Write an equation of the line that passes through the points (-3,-4),(6,-1)
klasskru [66]
Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
           d-b
m = --------------
           c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0
3 years ago
Solve by substitution please??? Immediate help!
marta [7]
Solve for the first variable in one of the equations, then substitute the result into the other equation.
3. (1/2, -1,2)
4. (2, -4)
You can get step by step at:
https://www.mathpapa.com/algebra-calculator.html
3 0
3 years ago
Other questions:
  • Simplify the expression where possible. (3b 3) 4
    11·1 answer
  • Factorise x(squared) + 7x - 30
    12·1 answer
  • A block of wood has a mass of 120 g Qubed and a volume of 200cm what is density of wood
    5·1 answer
  • For Judy's birthday, her friend gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clot
    10·1 answer
  • The escape velocity from planet Earth is 11,184.7258 meters per second. If a ship reaches this speed and maintains it, then negl
    9·1 answer
  • Find the equation of the line shown.
    8·2 answers
  • 8. Find the surface area of a triangular pyramid if the area of each phase is 16 cm² and each of its lateral faces has an area o
    8·1 answer
  • Not sure how to do this. need help
    9·1 answer
  • 8× what =2
    5·1 answer
  • Karen is planning to drive 2114 miles on a road trip. If she drives 302 miles a day, how many days will it take to complete the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!