Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
For more about triangles,
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What is the ratio 28 : 35 written in lowest terms?
A.9: 15
B.7:19
C.4:5
D.3:7
Answer:
4:5
Step-by-step explanation:
both sides divide by 7
In a football stadium, 43% of the crowd cheering for Team A, and 52% of the crowd is female. 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?
PLEASE I NEED AN ANSWER NOW WILL MARK U BRAINLIEST!!!1!
how do u find y intercept without a graph for systems of equations? (y = x - 6)
Answer:
-6 is the y intercept.
the number added or subtracted from the x in the slope intercept form is always the y intercept
Step-by-step explanation:
plz mark me brainliest
How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21
15PTS PLEASE HELP ASAP!
(dont write random answers pls))
Answer:
i think the answer is (-8,-12) but i may be wrong plese correct me if i am
Step-by-step explanation:
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
can you please help me with this
Answer:
Dot plot
Step-by-step explanation:
Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
If a 70 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person's
acceleration?
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. Determine the flag's length and width if the length is 110 feet greater than the width. Use pencil and paper. Write three situations to which you could apply the resulting system of equations.
What is the length of the flag?
Answer:38
Step-by-step explanation:
y = m + mnp
Solve for n.
pls help me
Answer:
n = y - m/mp
Step-by-step explanation:
y = m + mnp
y - m = mnp
y - m/mp = mnp/mp
y - m/mp = n
can someone answer the questions on my page if so ill give all the correct answers brainlist.
I need help one this question.
Answer:
-2
Step-by-step explanation:
the y-intercept is -2
Answer:
y=2x-2
Step-by-step explanation:
Find the slope.
y1-y2/x1-x2
2-(-2)/2-0
That gives you 4/2 or a slope of 2.
The y intercept is at -2.
Y=2x-2
someone please solve and find the corresponding angles thanks
the correct option is b
can someone help me understand this
Answer:
The answer for the question is E.
HELP ME PLEASE!!!!!!
The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t .
Write an inequality that can be used to represent the cost of a pizza that is at most $12.
What is the most number of toppings that a pizza can have and still be at most $12?
Step-by-step explanation:
$9.99 + $0.35t <= $12
$0.35t <= $2.01
t <= 5.74
The most number of toppings would be 5.
Answer:
9.99 + 0.35t ≤ 12
5 toppings
Step-by-step explanation:
First part of question:
9.99 + 0.35t ≤ 12
"At most" means you use ≤.
Second part of question:
Take the inequality and solve for t:
9.99 + 0.35t ≤ 12
0.35t ≤ 2.01
t ≤ 5.74
So, the most number of toppings that a pizza can have and still be at most $12 is 5 toppings. You have to round down 5.74 to 5 otherwise the cost will exceed $12.
PLEASE ANSWER! 15 POINTS
Answer: 13/15
Step-by-step explanation:
1/5 + 2/3 = 13/15. Since 13/15 can’t be simplified, that’s your answer.
what is the quotient of 6 1/4 ÷ (-5/8)
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
Answer:
[tex]-\frac{12}{5}[/tex]
Step-by-step explanation:
What is 149/15 as a mixed number?
Answer:
its an improper
mixed : 9 14/15
Step-by-step explanation:
its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)
Answer:
the answer is 9 14/15
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:
149 / 15 = 9.9333 = 9
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
149 - (15 x 9) = 14
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:
Which table does NOT show y as a function of x?
Answer:
C
Step-by-step explanation:
I don’t really know what to say haha, it’s easy
quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !
Answer:
i dunno but the slope is -4/6
Step-by-step explanation:
Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.
Help?
Answer:
Y axis is dependent
Step-by-step explanation:
and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol
SOMEONE ANWSER QUICK !
If you want to solve the system of equations below using the elimination methiod, which of the following should NOT be
your first step:
-3x + 4y = 0
2 - 2y = 8
A)Multiply every term in the bottom equation by 3.
B) Multiply every term of the bottom equation by 2.
C) Multiply every term of the bottom equation by -3.
D Multiply every term of the top equation by 2, and every term of the bottom equation by 4.
Answer:
I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.
Step-by-step explanation:
Tia takes $50 from her bank account to pay for the bus fare for the month. She does this each month for 7 months in a row. Which equation models this situation and represents the change it causes in Tia's bank balance
Answer:
$490 dollars
Step-by-step explanation:
Tia takes 50 dollars for her bus fare every month for 7 months. Do 7 X 5 to get your answer which is 49 then add a zero to 49.
I need help with this
Answer:
24.3470022334
Step-by-step explanation:
If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.
Answer: A quadratic equation (also called a parabola)
Step-by-step explanation:
A line can be written as:
f(x) = a*x + c
This is a polynomial with degree 1.
Now, of we have two lines:
f(x) = a*x + c
and:
g(x) = d*x + e
And we multiply them, we will get:
f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e
We can rewrite this as:
= (a*d)*x^2 + (a*e + c*d)*x + (c*e)
This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)
Answer:
ax^2+ bx + c
Step-by-step explanation:
I get a parabola, that is, an equation of the second degree
please help me i don’t understand how to do this