Answer:
When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.
Step-by-step explanation:
You are welcome.
And I hope this helps. :)
Answer:
Step-by-step explanation:
If you begin with an inequality and wish to solve for one of the variables, you must isolate that variable on the right side of a new inequality. Now supposing that that variable is negative in the given inequality, and that you must change that sign to positive. Generally you can either multiply every term in the given inequality by -1 or divide every term by -1. In both cases you must change the direction of the inequality sign.
Example: Given -3x > 2 + 5y, solve for x. To do this, multiply all three terms in the inequality by (-1/3), which yields x on the left and -2/3 - (5/3)y on the right. We must reverse the direction of the inequality sign, so the final answer is x < -2/3 - (5/3)y.
Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
Learn more about the equation of line visit:
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3l250ml=__ml explain with full expaination
Answer:
ea
Step-by-step explanation:
what is the area of the trapezoid?
Answer:
A=a+b
2h=10+20
2·6=90
Step-by-step explanation:
HAVE A GREAT DAY
Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?
Answer:
40% or 0.4 (doesn't matter which you put they're the same)
Step-by-step explanation:
60 female
6/15
Solve the equation for x.
2 x/3 = 100.6
A) x ≈ 2.22
B) x ≈ 19.96
C) x ≈ 0.41
D) x ≈ 6.65
Answer:
150.9
Step-by-step explanation:
2/3x=100.6
x=100.6/(2/3)
x=100.6(3/2)
x=150.9
Answer:
It is answer B
Step-by-step explanation:
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.
b. What percent of the perimeter of the
square is the circumference of the
circle?
Answer:
Step-by-step explanation:
a. The diameter of the circle will be 30 cm
So circumference is 3.14 * 30 = 94.2 cm.
b. Required percentage = (94.2) * 100 / (4*30)
= 78.5%.
evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
what is the value of x and y?
Answer:
The right answer is x = 8, y = 40.
Step-by-step explanation:
Since this triangle is isosceles we know that...
∠ACB = ∠ABC
40° = (5x)°
40 = 5x
x = 40 / 5
x = 8
We also know that the sum of all angles inside the triangle is equal to 180°, therefore...
∠BAC = 180° - ∠ACB - ∠ABC
(2y + 20)° = 180° - 40° - 40°
2y + 20 = 100
2y = 100 - 20
2y = 80
y = 80 / 2
y = 40
From this, we know that the right answer is x = 8, y = 40.
Solve for x by completing the square. Round ur answer to the nearest thousandth. X^2+6x-3=0
Answer:
x = 0.375
it is already rounded to the nearest thousandth.
If a tree casts a 24 foot shadow while a yardstick casts a 2 foot shadow what’s the height of the tree ? Need help please ASAP
Answer:
The tree is 12 yards tall
Step-by-step explanation:
If barak spend 20$ at the mall. That represents 16% of the money he earned at the pizza parlor . How much money did barack earn
Answer:
$125
Step-by-step explanation:
20 is 16% of what number?
20 = .16n
n = 20/.16 = 125
PLEASE HELP FAST
The measures of the angles of a triangle are shown in the figure below. Solve for x.
The length and width of a rectangle are 1/6 inches and 3/8 inches. What is the perimeter (in inches) of the rectangle?
Answer:
1 1/12inches
Step-by-step explanation:
Given
Length = 1/6 inches
Width = 3/8 inches
Perimeter of the rectangle = 2 (Length + Width)
substitute
P = 2(1/6 + 3/8)
P = 2(4+9/24)
P= 2(13/24)
P = 26/24
P = 1 2/24
P = 1 1/12inches
hence the perimeter of the triangle is 1 1/12inches
Which of the following statements about the image below is true
Answer:
It is answer 3
Step-by-step explanation:
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
24.5 square feet
59.5 square feet
70 square feet
147 square feet
What is the exact area of a circle with a radius of 12 feet? 24π Square Feet 36π Square Feet 121π Square Feet 144π Square Feet Question 2. What is the approximate area of the circle? Use π = 3.14 (the circle has 10.4 inside it) 32.7 square centimeters 65.2 square centimeters 108.2 square centimeters 339.6 square centimeters Question 3. What is the approximate area of a circle with a radius of 28 centimeters? Use π = 3.14 87.9 square centimeters 175.8 square centimeters 2461.8 square centimeters 4923.5 square centimeters Question 4. What is the approximate area of a circle with a diameter of 50 centimeters? Use π = 3.14 87.9 square centimeters 379.9 square centimeters 1962.5 square centimeters 4923.5 square centimeters
Answer:
144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters
Step-by-step explanation:
Area of a circle, A = πr²
1.)
with a Radius of 12 feets
A = π * 12² = 144πfeets²
2.)
Approximate area :
3.14 * 10.4² = 339.6224 feet²
3.)
with a Radius of 28 cm
A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²
4.
Diameter = 50 cm ; Radius = 50/2 = 25
with a Radius of 25 centimeter
A = 3.14 * 25² = 1962.5 cm²
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
Simon has seven apples he gives 20% to his friend micheal how much apples deos micheal have
Answer:
He will have 1.4 apples.
Answer:
1 1/4
Step-by-step explanation:
asked my family lol
ASAP PLEAE HELP
I WILL GIVE BRAINEST
FIND THE INDICATED MISSING ANGLE MEASURE.
ROUND THE ANGLE MEASURE TO THE NEAREST WHOLE DEGREE.
Answer:
21.801
Good luck
(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.
Answer:
80/320
Step-by-step explanation:
answer is given
A group of friends wants to go to the amusement park. They have $243.25 to spend on parking and admission. Parking is $15.75, and tickets cost $22.75 per person, including tax. How many people can go to the amusement park?
Answer: 10 people
Step-by-step explanation:
Parking needs to be paid for but if all friends are going together, they need to only pay once for parking.
The amount spent on just tickets is therefore:
= 243.25 - 15.75
= $227.50.
If $227.50 was for tickets alone, the number of tickets they could buy is:
= Total amount left/ Price of tickets
= 227.50 / 22.75
= 10 people
At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance
Answer:
8
Step-by-step explanation:
1470 = 10s+15t
143 = s+t
1470 = 10(143-t)+15t
40 = 5t
8 = t
Tyler says the fifth graders have more than twice as many participants as the second graders. Is Tyler correct? Explain
Answer:
What if 27 more third graders arrive ...
Step-by-step explanation:
Which equation is modeled on the number line?
A -7 -− 10 = -17 B 7 -− 10 = -3 C 7 -− (-10) = 17 D -7 -− (-10) = 3
Answer:
Option D
Step-by-step explanation:
For addition we move right on the number line and for subtraction we move left.
So, (-7) represents a 7 units to the left from the zero.
Then move 10 units right from (-7),
Therefore, (-7) + 10 = 3
Or (-7) - (-10) = 3
Option D is the correct option.
Juliet has y quarters, 6 dimes, and 4 nickels. the total amount of money that juliet has is $3.30. how many quarters does juliet have?
Work out the area of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:
If the 21 cm is circumference, the answer would be 35.09.
If the 21 cm is radius, the answer would be 1385.44.
If the 21 cm is diameter, the answer would be 346.36.
what are the roots of: y=x^2+3x-98
Answer:
Step-by-step explanation:
find the simple interest principle 950 interest rate 12% time 4 years
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!