On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2).
Which expression can be used to find the area of triangle RST?
(8 ∙ 4) - One-half (10 + 12 + 16)
(8 ∙ 4) - (10 + 12 + 16)
(8 ∙ 4) - One-half (5 + 6 + 8)
(8 ∙ 4) - (5 - 6 - 8)
Answers
Answer:
(8 ∙ 4) - One-half (10 + 12 + 16)
Step-by-step explanation:
Based on the coordinate plane, a mathematical expression which can be used to find the area of triangle RST is: A. [(8 × 4) - 1/2 × (10 + 12 + 16)].
What is a triangle?A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
How to calculate the area of a triangle?Mathematically, the area of the triangle is given by the formula:
[tex]Area = \frac{1}{2}\times base \times height[/tex]
In this scenario, the mathematical expressions that would be used to find the area of triangle RST with points (-5, 6), (3, 4) and (-2, 2) are given by:
Area of rectangle = LW = 8 × 4
Area of triangle 1 = 1/2 × (2 × 5) = 1/2 × 10
Area of triangle 2 = 1/2 × (3 × 4) = 1/2 × 12
Area of triangle 3 = 1/2 × (2 × 8) = 1/2 × 16
The area of triangle RST = [(Area of rectangle) - 1/2 × (Area of triangle 1 + Area of triangle 2 + Area of triangle 3)].
Substituting the parameters into the formula, we have;
The area of triangle RST = [(8 × 4) - 1/2 × (10 + 12 + 16)]
Read more on area of triangle here: brainly.com/question/21917592
Related Questions
En una playa de estacionamiento hay 40 vehículos entre autos y motos. Si en total se cuentan 120 llantas, halla el número de autos que hay
Answers
Answer:
20 carros
Step-by-step explanation:
Dado que un automóvil tiene cuatro neumáticos, multipliqué la C por 4
M es para motocicletas. ya que las motos tienen 2 neumáticos. Multipliqué M por 2
de hecho, la respuesta está en la imagen de arriba
Find the 94th term of the arithmetic sequence -26, -37, -48
Answers
Answer:
-1049
Step-by-step explanation:
Let's assume it's a arithmetic sequence
a_1 = -26
d = a_2-a_1 = -11
==> a_94 = a_1+93*d = -1049
Answer:
-1071
Step-by-step explanation:
Let the common difference be 'd'.
d is 11
Find the difference from a (first term) and 11
Then use (n-1)
help pls.preparing for my term exam
Jackie is making flower arrangements. She has 2 roses and 4 daisies. If Jackie
wants to make all the arrangements identical and have no flowers left over, what
is the greatest number of flower arrangements she can make?
pls help <3
Answers
Answer:
2
Step-by-step explanation:
she will have 2 arangments of one rose and two daisies.
Answer:
2
Step-by-step explanation:
group off the daisies and rose
2 Rose's
4 raises
in order to make it identical
group 1 consist of ( 1 rose and 2 daisies)
group 2 consist of (1 rose and 2 daises)
only 2 bouquets
Please help me out I really need theese answers
Answers
Answer:
b
Step-by-step explanation:
1. Melinda's fudge recipe calls for 34 cup of butter for one batch of fudge. She plans to make 8 batches. How many cups of butter does she need?
Answers
Answer:
272 cups
Step-by-step explanation:
so you need 34 cups for one batch if you need to make 8 batches then you would need to multiple them to find the answer.
34*8=272
It costs $198.00 to buy beef to make 300 meatballs. What will the cost be
to make 120 meatballs?
Answers
Answer:$181.81
Step-by-step explanation:300/198
=1.5151515….multiple by 120
=181.818181
A-container holds 6 cups of yogurt the nutrion label reads that a serving size is 1/3 cups how many servings are in the cointaner
Answers
Answer:
1/3 = 1 serving
2/3 =2 servings
1 cup= 3 servings
so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings
Solve for x in the equation
Answers
Answer:
[tex] {x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17} [/tex]
Chuck performed an experiment with a list of shapes. He randomly chose a shape from the list and recorded the results in the frequency table. The list of shapes and the frequency table are given below. Find the experimental probability of a parallelogram being chosen.
Answers
Answer:
1/6 (simplified)
Step-by-step explanation:
It's 3/18, but in most cases you should simplify unless it says to not.
Is Q the midpoint of line segment PR? Justify your answer with numbers and words.
Answers
Answer:
[tex]5x+8x+10-3=72\\13x=65\\x=5\\reapplying\\5(x+2)=5*7=35\neq (\frac{72}{2}=36 )[/tex]
No it's not the Midpoint
Which value cannot represent the probability of an event occurring
Answers
Answer:
zero
Step-by-step explanation:
everything is theoretically possible
The total surface area of a cube is 433.5 cm2.
Find its volume.
Answers
Answer:
Step-by-step explanation:
The area of 1 face is s^2
The area of 6 faces is 6s^2
6s^2 = 433.5 Divide by 6
s^2 = 433.5 / 6
s^2 = 72.25 Take the square root of both sides
sqrt(s^2) = sqrt(72.25)
s = 8.5
Normally you would find the volume of parallelepiped by using L * W * H
Since L W and H are all equal in a cube, the volume = s^3
S^3 = 8.5^3 = 614.125
How many marble do you need to balance to scale
A. 4
B. 3
C. 2
D. 1
Answers
Answer: its B.
Step-by-step explanation:
have a good day hope this help
Answer:
B.3
Step-by-step explanation:
just divide 6 by 2
help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
Answers
Answer:
aef true and bcd false
hope u get well in your exams
Step-by-step explanation:
Angle Measurements 84 degree
Answers
Answer:
yes angle measures 84°as they are alternate angles
Max bought three items for $18.95 each and two items for $26.71 each. How much change would he get from $500 ?
Answers
Answer:
$389.73 in change
Step-by-step explanation
500-( (18.95 x 3)+(26.71 x 2) )=
500-(56.85+53.42)=
500-110.27=
389.73
The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola
Answers
Answer:
[tex]x^2 = 2y[/tex] --- equation
[tex](x,y) = (0,\frac{1}{2})[/tex] --- focus
[tex]y = -\frac{1}{2}[/tex] --- directrix
[tex]Width = 2[/tex] ---- focal width
Step-by-step explanation:
Given
[tex]depth = 2[/tex]
[tex]diameter = 4[/tex]
Required
The equation of parabola
The depth represents the y-axis. So:
[tex]y = 2[/tex]
The diameter represents how the parabola is evenly distributed across the x-axis.
We have:
[tex]diameter = 4[/tex]
-2 to 2 is 4 units.
So:
[tex]x = [-2,2][/tex]
So, the coordinates of the parabola is:
[tex](-2,2)\ and\ (2,2)[/tex]
The equation of the parabola is calculated using:
[tex]x^2 = 4py[/tex]
Substitute (-2,2) for (x,y)
[tex](-2)^2 = 4p*2[/tex]
[tex]4 = 8p[/tex]
Divide by 8
[tex]p = \frac{4}{8}[/tex]
[tex]p = \frac{1}{2}[/tex]
So, the equation is:
[tex]x^2 = 4py[/tex]
[tex]x^2 = 4 * \frac{1}{2} * y[/tex]
[tex]x^2 = 2y[/tex]
The defining features
(a) Focus
The focus is located at:
[tex](x,y) = (0,p)[/tex]
[tex](x,y) = (0,\frac{1}{2})[/tex]
(b) Directrix (y)
[tex]y = -p[/tex]
[tex]y = -\frac{1}{2}[/tex]
(c) Focal width
[tex]Width = 4p[/tex]
[tex]Width = 4*\frac{1}{2}[/tex]
[tex]Width = 2[/tex]
subtract 8x-8y+9 from 5x-8y-z
Answers
what is the probability of rolling a number that is greater than 4 on a number cube?
a.) 1/6
b.) 1/3
c.) 1/2
d.) 2/3
Answers
=========================================================
Explanation:
E = event space = {5,6}
The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.
S = sample space = {1,2,3,4,5,6}
The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.
Divide the number of items in each set
n(E) = 2
n(S) = 6
probability = n(E)/n(S) = 2/6 = 1/3
There's a 1 in 3 chance of rolling a number greater than 4.
PLEASE IF YOU"RE REALLY GOOD AT MATH HELP MEEEE
Answers
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
Answers
Answer: [tex]\dfrac{49}{50}[/tex]
Step-by-step explanation:
Given
Length of the stick is [tex]2y\ m[/tex]
A piece of [tex]4y\ cm[/tex] is cut
We know, 1 m=100 cm
So, [tex]2y\ m[/tex] in cm is [tex]200y\ cm[/tex]
Remaining length after cut is
[tex]\Rightarrow 200y-4y=196y[/tex]
Fraction of length that is left after the cut is
[tex]\Rightarrow \dfrac{196y}{200y}\\\\\Rightarrow \dfrac{49}{50}[/tex]
Thus, [tex]\frac{49}{50}[/tex] fraction of original stick remains after cut
Find the equation of a line that passes through the point (3,5) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answers
Answer:
y = 2x - 1
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 )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
(x+5)²=32
find the solution
justify answer
Answers
Answer:
x = -5 ±4sqrt(2)
Step-by-step explanation:
(x+5)²=32
Take the square root of each side
Sqrt((x+5)²)=±sqrt(32)
x+5 = ±sqrt(16*2)
x+5 = ±4sqrt(2)
Subtract 5 from each side
x+5-5 = -5 ±4sqrt(2)
x = -5 ±4sqrt(2)
Gillian swears her computations for the
following equations prove they do not
intersect. Her brother who just finished
learning about intersecting lines told her they
definitely intersect because the slopes are
different. Gillian remembered that logic from
class and then decided she needed to be able
to prove intersection by using algebra.
Although there are multiple strategies, how
might she prove intersection without graphing
of the following equations?
4x +3y = 6 and 6x + 2y = 10
Answers
Step-by-step explanation:
Given
Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]
Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when
[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]
for the given lines
[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]
[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]
Hence, lines are intersecting
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answers
Answer:
[tex]secA = \frac{65}{63}[/tex]
Step-by-step explanation:
[tex]cosec A = \frac{65}{16}\\\\sin A = \frac{1}{cosecA} = \frac{16}{65}\\\\cos^2 A = 1 - sin^2 A[/tex]
[tex]= 1 - (\frac{16}{65})^2\\\\=\frac{4225-256}{4225}\\\\=\frac{3969}{4225}\\[/tex]
[tex]cos A = \sqrt{\frac{3696}{4225}} = \frac{63}{65}[/tex]
[tex]secA = \frac{1}{cosA} = \frac{65}{63}[/tex]
Peter gets 1 star for every 3 correct answers he gets on khan academy. What is the minimum number of correct answers Peter must enter if he wants to get 12 stars?
For full points you need to write an equation that uses a variable and division, show what work you did to solve it, and then give me a final answer.
Answers
Answer:
Peter needs to get 36 problems correct to get 12 stars
Step-by-step explanation:
for every 3 correct answers, Peter gets 1 star
1/3
if he wants 12 stars he will have to get 'x' amount of questions correctly
considering this is constant, 1/3 will have to equal 12/x
[tex]\frac{1}{3} = \frac{12}{x} \\\\1x = 36\\[/tex]
1x = x, so you don't need to do anything to 36
therefore the answer is that you need to get 36 problems correct to get 12 stars
Angle measurements 110 degree help find out the balance at the top
Answers
Answer: 70 degrees because 180-110= 70. Hope this helps
Step-by-step explanation:
If d(x) = x2 - 7x - 7, find d(x - 1).
Answers
Answer: x^2-9x+1
Step-by-step explanation:
x^2-7x-7 d(x-1)
(you would just replace x to (x-1)
(x-1)^2-7(x-1)-7
(solve by square rooting (x-1)(x-1) then foil)
x^2-9x+1
Zx5+3 please help me
Answers
-Use P.E.M.D.A.S
(Parentheses, Exponents, Multiply or divide, Add or subtract)
-Multiply z times 5 first
z x 5 = 5z
-Then add 5z to 3
5z + 3
Eddie bought 3 train tickets 17.00 each. If he paid with three $20 bills, how much change did Eddie receive?
Answers
Answer:
Step-by-step explanation:
Think of it as if he paid for each ticket with one $20 bill.
He gets $3 change from each one so his total change is $(
