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.
Can anyone do this question?
Answer:
its simple 5.90
Step-by-step explanation:
7+root 3 divided by 7-root 3
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
Expressions equivalent to (7^3 x^4)^0
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1
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.
If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
This question is Incomplete
Complete Question
The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:
a. 8.85kg of flour is left.
b. 2.95 bins
Step-by-step explanation:
The bakery bought 4 bags of flour containing 3.5 kg each.
Total kg of flour the Bakery bought : 4 × 3.5kg
= 14 kg of flour
0.475 kg of flour is needed to make a batch of muffins
1 batch of muffin = 0.475kg of flour
4 batches of muffins = ???
Cross Multiply
4 batches × 0.475kg/ 1 batch
= 1.9kg of flour was used.
0.65 kg is needed to make a loaf of bread.
1 loaf of bread = 0.65kg of flour
5 loaves of bread = ???
Cross Multiply
5 loaves × 0.65/1 loaf
= 3.25 kg of flour.
Total kg of flour used = 1.9kg + 3.25kg
= 5.15kg of flour.
The amount of flour left = 14kg - 5.15kg
= 8.85kg of flour is left.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?
3 kg of flour is stored = 1 bin
8.85 kg of flour is stored = x
Cross Multiply
3kg × x = 8.85kg × 1 bin
x = 8.85 kg × 1 bin/3kg
x = 2.95 bins
they only said simplify and i guessed the answer as undefined
Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?
Answer:
161secsStep-by-step explanation:
If Frederick can swim 25 yards in 23 seconds, then:
25 yards = 23 seconds
To determine how long it will take him to swim 175yards, we will say:
175 yards = x
Equating both expression:
25 yards = 23 seconds
175 yards = x
Cross multiply
25x = 23*175
25x = 4025
Divide both sides by 25
25x/25 = 4025/25
x = 161 secs
This means that it will take Frederick 161 secs to swim 175 yards
Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?
Answer:
pft
Step-by-step explanation:
Name the slope of a line parallel to y = -3x -2
What is the solution to 4x3 - 3x2 - 7x<0?
Answer:
[tex](-∞,1) , (0,\frac{7}{4})[/tex]
Step-by-step explanation:
Factor:
x(4x³-3x-7)<0
Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet
The name of my shape is a parallelogram. The sides are:
7 feet7 feet10 feet10 feetThe perimeter is 34 feet because:
Step 1: Add smaller groups.
10 + 10 = 20
7 + 7 = 14.
Step 2: Add the two numbers.
14 + 20 = 34.
Hope this answer helps you!
Can someone help me on questions 10-15
Answer:
10. Supplementary
11. Congruent
12. Congruent.
13 . congruent
14 supplement
15 supplementary
Hope this helps you Do mark as brainliest!Which statement about the number 49 is true
Answer:
F.
Step-by-step explanation:
Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.
rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Please, Please help me
One number is 7 times a first number. A third number is 100 more than the first number If the sum of the three numbers is 865, find the numbers.
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal
Question:
Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.
Answer:
[tex]Countries \geq 50 + 5y[/tex]
[tex]y \leq 29[/tex]
Step-by-step explanation:
Given
[tex]Countries = 50[/tex] ------ at least
[tex]Yearly =5[/tex]
Required
Represent as an inequality
"at least" means [tex]\geq[/tex]
So the countries he has visited can be represented as thus;
[tex]Countries \geq 50[/tex]
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
[tex]Countries \geq 50 + 5y[/tex]
To determine the value of y.
We have that
[tex]Countries = 195[/tex] in the world
Substitute 195 for Countries
[tex]195 \geq 50 + 5y[/tex]
Collect Like Terms
[tex]195 - 50 \geq 5y[/tex]
[tex]145 \geq 5y[/tex]
Divide through by 5
[tex]145/5 \geq y[/tex]
[tex]29 \geq y[/tex]
Reorder
[tex]y \leq 29[/tex]
This means that; he'll visit all countries in at most 29 years' time
If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all
Answer:
gbklkijgggddfhokjvhjk
What is the value of x?
(5х)
110°
110°
70
14
Answer:
The answer to your question is :The value of 5× = 110°
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?
Answer:
Maximum number of chairs is 7.
Step-by-step explanation:
We are told he has less than 120 minutes to spend painting furniture each day.
Now he has spent 30.5 minutes painting a desk.
Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.
Thus, we have;
30.5 + 12.5x < 120
Subtract 30.5 from both sides to get;
12.5x < 120 - 30.5
12.5x < 89.5
x < 89.5/12.5
x < 7.16
Thus, maximum number of chairs he can paint is 7
19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?
Answer:
0.24$
Step-by-step explanation:
Each egg costs 1/12 of 2.88.
So either you multiply 2.88 by 1/12
or you divde 2.88 by 12
Answer:
0.24
Step-by-step explanation:
you would divide 2.88 by 12 hope this helps.
What is the prime factorization of 235
Answer:
5 x 47Step-by-step explanation:
Hope this helps! <3
The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.
The prime factorization of 235 = 5•47.
hope this help! ^^
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
I need help fast I’m timed!
Answer:
-5
Step-by-step explanation:
Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
I’ll give 10 points and brainliest
Answer:
Step-by-step explanation:
-(-2)^2 - (8(-2)-2(-3)) + 4(-3)
-4 -(-16 + 6) - 12
-4 - (-10) - 12
-4 + 10 - 12
6 - 12 = -6