Answer:
The area of the triangle is 12 unit²
Step-by-step explanation:
The vertices of the triangle are;
a(2, 5), b(5, 9), and c(8, 5)
The area of a triangle given coordinates can be given by the following determinant;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]
Therefore, we have;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]
Utilizing an online determinant calculator, we have;
[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]
Therefore, the area of the triangle is 12 unit².
Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)
Answer:
Step-by-step explanation:
527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)
Answer:
500029301.171
Step-by-step explanation:
Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2
Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
1) 3/7 & -6/7 pls I need answers
Answer:
0.42 & -0.85
Step-by-step explanation:
Please help! I'll mark brainliest
7^(? )x (7^(5))^(4 )= 7^(34 ) find the missing exponent
n = 14
Step-by-step explanation:Hi there !
7ⁿₓ7⁵⁾⁴ = 7³⁴
7ⁿₓ7⁵ˣ⁴ = 7³⁴
7ⁿₓ7²⁰ = 7³⁴
n + 20 = 34
n = 34 -20
n = 14
Good luck !
Answer:
n = 14
Step-by-step explanation:
Mr. Ortiz has 5/8 pound of oatmeal. He uses 4/5 of the oatmeal to bake muffins. How much oatmeal does Mr. Ortiz have left? Enter your answer in simplest form.
How do you do this. Please someone explain?
Answer: y = (1/2)x-2
This is the same as y = 0.5x-2
Slope = 1/2 = 0.5
Y intercept = -2
========================================================
Work Shown:
Compare the equation to y = mx+b to find that m = -2 is the slope.
Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.
The original slope is -2. The perpendicular slope is 1/2 = 0.5
We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b
y = mx+b
-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above
-4 = -2 + b
-4+2 = b ... adding 2 to both sides
-2 = b
b = -2
Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2
This is the same as y = (1/2)x-2 since 1/2 = 0.5
Myles and Darrell are brothers and myles is older. When you square Darrell's age and multiply by 2 and subtract from the square of Myles age the result is 6times the difference between their ages. When add Myles and Darrell's age you get 5times the difference between their ages. How old is Darrell and how old is Myles.
Answer:
Darrell is 12 years old while Darrell is 18 years old
Step-by-step explanation:
Let Myles age be m and Darrell age be d
Single Myles is older, m > d
Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2
Subtract from the square of Myles age
m^2 - 2d^2
Result is 6 times the difference between their ages;
m^2 - 2d^2 = 6(m-d) •••••••••••(i)
When add Myles and Darrell age
m+ d
you get 5 times the difference between their ages 5(m-d)
m + d = 5(m-d)
m + d = 5m - 5d
5m - m = 5d + d
4m = 6d
m = 6d/4
m = 1.5d or 3/2d ••••••••(ii)
Put ii into i
(3/2d)^2 - 2d^2 = 6(3/2d - d)
9/4d^2 - 2d^2 = 6(1/2)d
Multiply through by 4
9d^2 - 8d^2 = 12d
d^2 = 12d
d^2 - 12d = 0
d(d -12) = 0
d = 0 or d-12 = 0
d = 0 or 12
d = 12 years
The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)
So we choose 12 years
Recall ; m = 3/2 d = 3/2 * 12 = 18 years
A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes.
Im gessing that you mean this:
A delivery truck drives three routes in one day. The first route is 12 2/3 miles long, the second route is 10 3/4 miles long, and the third route is 15 1/2 miles long.
the awnser is 38 11/12. hopes this helps
The delivery truck total drives 37 miles on those three routes.
What is a fraction?A fraction describes how much part is there to the total part.
According to the given question, a delivery truck drives three routes in one day.
The first route is [tex]12\frac{2}{3}[/tex] miles long, the second route is [tex]10\frac{3}{4}[/tex] miles long and the third route is [tex]15\frac{1}{2}[/tex] meters long.
To find the total number of miles the delivery truck drives we have to add the distances of all three routes which are in fractions which is,
= [tex]( 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2} ) miles.[/tex]
= [tex]\frac{37}{3} + \frac{43}{3} + \frac{31}{3} miles.[/tex]
= (37 + 43 + 31)/3 miles.
= 111/3 miles.
= 37miles.
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It will make my life if you help me with this forealzez
Answer:116
Step-by-step explanation:
By definition, a rhombus will have equal opposite angles.
Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.
Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64
Now that we have found out c is 64, we plug it into the angle 2c-12 to get
2*64-12=116.
So again by definition, angle J will be 116 degrees since its an opposite angle.
-2m=-10
Solve this for m
Answer:
M=5
Step-by-step explanation:
divide each side by -2
Help !! Least to greatest -1 1/3 , - 1 8/9 , 1 3/4 , 1 1/2
Answer:
1. [tex]-1[/tex] [tex]\frac{1}{3}[/tex]
2. [tex]-1[/tex] [tex]\frac{1}{2}[/tex]
3. [tex]1[/tex] [tex]\frac{1}{2}[/tex]
4. [tex]1 \frac{3}{4}[/tex]
-1 1/3 is the least of all the numbers. So, this is the first number.
-1 1/2 is the second least number. So, this is the second number.
1 1/2 is the third least number. So, this is the third number.
Finally, 1 3/4 is the greatest number, so it is the fourth number.
Hope this helps you!
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answer:
2/3 of the price
Step-by-step explanation:
Samantha's dad paid $47.00 for 20 gallons of gas. What is the price, per gallon of gas in dollars and cents? $
Answer:
2.35 dollars per gallon
Step-by-step explanation:
All you have to do for a question like this is divide the amount of money by the amount of product.
47 divided by 20 = 2.35
Answer:$2.35
Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.
So the price per gallon is $2.35.
help the extra pics are for the extra answers to the same questions.
Answer:
B
B
B
I think these are right
Step-by-step explanation:
All of them are bs.
Amalie has been saving money buy an electric guitar. A local store has just
marked down the price of its guitars by 30%. Each guitar also comes with a
mail-in rebate for $5.
If the guitar used to cost $210, what will be Amalie's final price after
the markdown and rebate?
Complete each step to solve the problem and answer the question.
Answer:
80 percent
Step-by-step explanation:
The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour. Choose a function to represent this scenario
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Given the information above :
Less than Employees = $0.5 increase per hour
Atleast 3 but less than 6 years employees = $1.00 increase per hour
Atleast 6 but less than 9 years employees = $1.50 increase per hour
Atleast 9 but less than 12 years employees = $2.00 increase per hour
The information above can be written as a piecewise function :
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The constraints is represented in the piecewise function above with x being the number of years since employee has been in service.
The area of a square garden is 9ft. How long is each side of the garden
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
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In the equation t = 0.7n - 1.3, the dependent variable
Answer:
The dependent variable is n i think because the hwole problem depends on n
Step-by-step explanation:
create a predictable sequence of at least 4 numbers that is not arithmetic or geometric.
Answer:
1,2,3,5,8,13,.......
Step-by-step explanation:
We can have a sequence that adds the previous two terms to get the next term
1,2,3,5,8,13,.......
This is neither geometric nor arithmetic
Nes and m are intersected by transversal t. ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. Select all the angles that are supplementary to ∠4.
Answer:
The supplementary angles to ∠4 are;
∠3, ∠2, ∠7, ∠6, and ∠5
Step-by-step explanation:
The given information are;
The angular orientation of lines l and m = horizontal lines
Therefore l and m are parallel lines
The transversal line to lines l and m = Line t
Therefore, we have;
Angles between line t and line l = 1, 2, 3, and 4
The order of arrangement of the angles between line t and line l are from top left in a clockwise order;
1, 3, 4, and 2
Similarly, the order of arrangement of the the angles between the transversal t and the line m are from top left in a clockwise order;
5, 7, 8, and 6
Therefore, we have;
The supplementary angles to ∠4 are;
∠3, ∠2, ∠7, ∠6, and ∠5
∠3 and ∠4, ∠4, and ∠2, angles on a straight line between lines l and t
∠4 and ∠7 are opposite interior angles (Opposite interior angles are supplementary)
∠7 ≅ ∠6, ∠7 and ∠6 are alternate angles (
∠7 = ∠6 Definition of congruency
∴ ∠4 and ∠6 are supplementary (Transitive property)
∠4 and ∠5 are alternate interior angles (Alternate interior angles are supplementary).
3x² + 22x + 35
Factor the trinomial
Help guys asp!!
Answer:
(x + 5)(3x + 7)
Step-by-step explanation:
Given
3x² + 22x + 35
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term
product = 3 × 35 = 105 and sum = 22
The factors are + 15 and + 7
Use these factors to split the x- term
= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )
= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x + 7) ← in factored form
a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son:
a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2
Answer:
In english pls
Step-by-step explanation:
IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST. Can someone give me the answers to this: CLOSURE REVIEW CL A-98 thru CL 108
Todays the last day of the quarter and I really need to turn it in but I cant focus.
Answer:
nfw
Step-by-sntep explanation:
fwjfba
HELP ME PLEASE I NEED BRAINLIEST
Answer:
11
Step-by-step explanation:
Here, we replace x and y with the values given that x = 6 and y = 2:
=[tex]\frac{3(6)+4}{(2)}[/tex]
= [tex]\frac{18+4}{2}[/tex]
=[tex]\frac{22}{2}[/tex]
=11
Which linear equation has no solution?
CLEAR
SUBMIT
+6)=6x + 4
52 + 12 = 50 - 7
4.3 + 7 = 3.2 + 7
-3(2x - 5)= 15 - 63
Tuoe heret
Answer:
+6)=6x + 4 x=1/3
52 + 12 = 50 - 7 False
4.3 + 7 = 3.2 + 7 False
-3(2x - 5)= 15 - 63 x = 21/2
Step-by-step explanation:
expressions that are equivalent to 3(q+2).
A.5q
B.6q
C.3(2+q)
D.6q+3
Answer:
Option C
Step-by-step explanation:
Lets calculate 3(q + 2) first;
Distribute;
3(q + 2) = 3q + 6
Option C because 3(2 + q) = 6 + 3q
How many solutions does the equation x^2 = 9 have? How do you know?
Answer:
I'm pretty sure it's 2
Step-by-step explanation:
x^2=9
Step 1: Take the square root.
x=±√9
x=3 or x=−3
Name that Ange pair!
Drections Given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. Color the boxes using the color codes below.
3.
7
1
5
418
2
6
Corresponding Angles: Pink
Alternate Interior Angles: Light Blue
Alternate Exterior Angles: Yellow
Consecutive Interior Angles: Light Green
Consecutive Exterior Angles: Orange
No Relationship: Uncolored
9/13
10
14
1115
12
16
Answer:
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles
∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles
∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles
sry i dont know which are the consecutive exterior angles
but i hope you understood
<2 and <13 are alternate interior angles
Reason: At the opposite sides of the transversal and fall between
<4 and < 11 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<1 and <16 do not have any direct relationship
<3 and <12 are co-exterior angles
Reason: Same side of the transversal but each of them are outside the parallel lines
<3 and <5 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<14 and 16 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<1 and <3 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<5 and <10 are alternating exterior angles
Reason: Alternate side of the transversal but each of them are outside the parallel lines
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.9
Use square roots