Answer:
[tex]G=(2,\frac{5}{3} ).[/tex]
Step-by-step explanation:
Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].
Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]
⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]
⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]
⇒ [tex]G=(2,\frac{5}{3} ).[/tex]
8.If 20 is 50% of a number, what is the number
Percentage
100:50 x 20 = 40
GIVING BRAINIEST IF CORRECT!!!
Farmer Taja needs a field for her horses to graze. She found a field that has a width of x+4. The length of the field is more than twice the width. What is the area of the field Taja found?
Given :
w = x + 4L = 3+ 2(w) = 3 + 2 (x + 4)Solution:
Area = L × WArea = [3 + 2 (x + 4) ]× x + 4Area = [3 + 2x + 8] × x + 4Area = [2x + 11] × x + 4Area = 2x² + 11x + 8x + 44Area = 2x² + 19x + 44hope it helped!
Hunter and Christopher were analyzing the graph shown . Both students identified the function to be represented by the, d=13h-75, where d is the amount of money in a checking account and h is the number of hours worked. Hunter explained the equation represented an original amount of $75 that decreased $13 for every hour. Christopher disagreed. He interpreted the equation as a person who was in debt $75 earned $13 every hour.
Using linear function concepts, it is found that Christopher is correct.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.In this problem, the function is:
[tex]d = 13h - 75[/tex]
Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:
For each hour worked, the person earns $13.Considering taxes, the person starts at a debt of $75.Hence, Christopher is correct.
You can learn more about linear function concepts at https://brainly.com/question/24808124
Use the model below to calculate
2
3
×
3
4
.
A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.
A.
3
12
or
1
4
B.
12
12
or
1
C.
4
12
or
1
3
D.
6
12
or
1
2
Answer:
D
Step-by-step explanation:
i already did the test
Answer:
d
Step-by-step explanation:
(PLEASE HURRY! will award brainliest)
Solve for x. Show your work.
Answer:
x = 8
Step-by-step explanation:
12 : 36
1 : 3
the distance is 3×, so
x = 26 ÷ 3
= 8
The price of a technology stock has risen to $9.77 today. Yesterday's price was $9.68. Find the percentage Increase. Round your answer to the nearest tenth of a percent.
It takes 20 minutes for a cow to be milked by a milking machine.
How many cows can be milked in 6 hours?
Answer:
18 cows can be milked in 6 hours
Step-by-step explanation:
hrs.=3
can I have help pls
Answer:
D. II only
Step-by-step explanation:
The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)
The rational equation will result in a quadratic when it is simplified. It will have two real solutions.
Only equation II will have two real solutions.
A restaurant owner washed 87 kilograms of vegetables, some spinach and some carrots. The spinach came in 5-kilogram bags and the carrots came in 7-kilogram bags. The owner washed 15 bags of vegetables in all. How many bags of each kind did he wash?
Answer:
9 bags pf spinach, 6 bags of carrots
Step-by-step explanation:
x bags of spinach, y bags of carrots,
x + y = 15 (1)
weight of spinach = 5 * x, weight of carrots = 7 * x
5x + 7y = 87 (2)
From (1) y = 15 - x
Sub it into (2):
5x + 7(15 - x) = 87
5x + 105 - 7x = 87
2x = 105 - 87 = 18
x = 9
y = 15 - x = 15 - 9 = 6
So 9 bags pf spinach, 6 bags of carrots.
7. 65 out of 105
Simplify
Answer:
13/21
Step-by-step explanation:
65/105 = 13/21
there are 3 piles papers on a desk each pile has 21 papers how many papers are there total
Answer:
63 papers total.
Step-by-step explanation:
3 piles, 21 papers a pile, 3*21 =63.
Answer:
63
Step-by-step explanation:
because 3x21 is 63
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than or equal to 8? Express your answer as a fraction or a decimal
rounded to four decimal places.
Answer:
2/3
Step-by-step explanation:
PLEASE HELP ME PLEASE
Answer:
0.75 lb potato salad = $2.22
Step-by-step explanation:
If 1 pound of potato salad = $2.96
Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22
what's the slope
(1, 1)
(3, 4)
Answer:
y= 3/2x-1/2
Step-by-step explanation:
Answer:
3/2 or 1.5
Step-by-step explanation:
gradient = ∆y/∆x
∆y = 4 - 1 =3
∆x = 3 - 1 = 2
∆y/∆x = 3/2
A rock is thrown upward with an initial velocity of 16ft/sec from an initial height 5ft. How much time does it take for the rock to hit the ground?
A. -0.25sec
B. 0.5sec
C. 1.25sec
D. 1.5sec
Answer: C
The amount of time it would take for the rock to hit the ground is 1.25 seconds.
Given the following data:
Initial velocity = 16 ft/secHeight = 5 ft.Scientific data:
Acceleration due to gravity (g) = 9.8 [tex]m/s^2[/tex]To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:
How to calculate the time.Mathematically, the parabolic function is given by this formula:
[tex]h(t) = -16t^2 +ut+h_0[/tex]
Where:
U is the initial velocity.a is the acceleration.[tex]h_0[/tex] is the height.t is the time.Substituting the given parameters into the formula, we have;
[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]
Taking the positive value of t, we have:
[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]
t = 1.25 seconds.
Read more on time here: brainly.com/question/24728358
Brainliest if correct
Answer:
x=9
Step-by-step explanation:
Using the second equation (y=54), we can substitute 54 for y to solve for x...
y=6x
54=6x
Divide both sides by 6
x=9
Answer:
x = 9
Step-by-step explanation:
Since y = 54
54 = 6x
Divide both sides of the equation by the same term
54/6=6x/6
Simplify
x = 9
[RevyBreeze]
Substitute this simultaneous linear equation
[tex]x - 4y = - 6 \\ 2x + 3y = 10[/tex]
Answer:
[tex]x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)[/tex]
from equation (1)
[tex]x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = \frac{x + 6}{4} [/tex]
Substitute " y " in equation (2)
[tex]2x + 3y = 10 \\ \\ 2x + 3( \frac{x + 6}{4} ) = 10 \\ \\ 2x +( \frac{3x + 18}{4} ) = 10 \\ \\ \\ \frac{8x + 3x + 18}{4} = 10 \\ \\ \\ 8x + 3x + 18 = 10 \times 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = \frac{22}{11} \\ \\ x = 2[/tex]
[tex]y = \frac{x + 6}{4} \\ \\ y = \frac{2 + 6}{4} \\ \\ y = \frac{8}{4} \\ \\ y = 2[/tex]
Express each fraction as a percent. Round your answer to the nearest whole number. 76/125
Answer:
61%
Step-by-step explanation:
Multiply the fraction by 100%.
76/125 × 100% = (7600/125)% = 60.8% ≈ 61%
After four days, Trudy's average exercise time was 45 minutes per day. If she exercises 60 minutes on the fifth day, what will be her average time in
Answer:
240
Step-by-step explanation:
because adding the 45's 4 times then adding 60.
sorry if im wrong btw.
how do you do this as i get 42
46-2⁴÷(3-1)
Answer:
38
Step-by-step explanation:
[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]
first calculate whats in the brackets.
then divide
and lastly subtract
NEED HELP ASAP
Which statement correctly explains the association in the scatter plot?
Answer:
Negative relationship
Step-by-step explanation:
It is going in a negative direction.
Pls mark brainliest :)
The locations of three fish relative to the water's surface are - 17 feet, - 10 feet, and -19 feet.
There is also a bird flying 12 feet above the water. Which distance has the least absolute value?
Answer:
-10
Step-by-step explanation:
I think you are asking which is the least distance from 0 which would just be -10
What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale. * 12 3 X W3 x 12 Z Y Your answer
Answer:
What is the length of the altitude drawn to the hypotenuse?, Corollary: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.
Furthermore, When an altitude is drawn to the hypotenuse of a given right triangle the new figure comprises two similar right triangles?, Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.
Finally, When the altitude is drawn to the hypotenuse of a right triangle three similar triangles are formed?, The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other. Perpendicular lines are lines that intersect at a 90^{circ} angle.
Step-by-step explanation:
Answer is linked below.
Answer:
- 7x² + 12x - 9Step-by-step explanation:
Given:
A = 3x² - 7x + 8B = x² + 8x - 3C = - 5x² - 3x + 2Find B + C - A:
B + C - A = x² + 8x - 3 + (- 5x² - 3x + 2) - (3x² - 7x + 8) = x² + 8x - 3 - 5x² - 3x + 2 - 3x² + 7x - 8 =(1 - 5 - 3)x² + (8 - 3 + 7)x + (-3 + 2 - 8) = - 7x² + 12x - 9A = [tex]3x² - 7x + 8[/tex]
B = [tex]x² + 8x - 3[/tex]
C = [tex]-5x²-3x + 2[/tex]
Lets find B + C - A :
→ [tex]B + C - A[/tex]
→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]
→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]
→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]
→ [tex]- 7x² + 12x - 9[/tex]
Solve the proportion 3/4 = 9/x
2 2/5 divided by 2 1/10
firstly let's convert the mixed fractions to improper fractions and then divide.
[tex]\stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} ~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\div \cfrac{21}{10}\implies \cfrac{12}{5}\cdot \cfrac{10}{21}\implies \cfrac{120}{105}\implies \cfrac{8}{7}\implies 1\frac{1}{7}[/tex]
Answer:
first make them improper fractions
2 2/5 = 12/5
2 1/10 = 21/10
now set them up
12/5 divided by 21/10
make 21/10 a reciprocal(flip the fraction upside down) and multiply across
12/5 x 10/21 = 1.14 or 1 1/7
Give answer as positive exponent
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{x^4\ \bullet \ x^{-7}}\\\\\mathsf{\rightarrow x\bullet x\bullet x\bullet x (\dfrac{1}{x\bullet x \bullet x \bullet x\bullet x \bullet x \bullet x})}\\\\\mathsf{\star \heartsuit \ - 7 = \bf -3 \ \star \heartsuit}\\\\\mathsf{\rightarrow \dfrac{1}{x\bullet x \bullet x}}\\\\\mathsf{\approx \dfrac{1}{x^3}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{1}{x^3}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what does a(b-c) = to?
Solution:
The expression "a(b-c)" is an example of distributive property. To simplify it, simply multiply a by the terms inside the bracket.
Simplifying the distributive property.
=> a(b - c)=> (a x b) + (a x -c)=> ab - acHence, the simplified expression is ab - ac.
We can use the distributive law to simplify it or factor it but more
[tex]\\ \tt\hookrightarrow a(b-c)[/tex]
[tex]\\ \tt\hookrightarrow a(b)-a(c)[/tex]
[tex]\\ \tt\hookrightarrow ab-ac[/tex]
What is the exact value of 5 5/6 - (1 1/4 + 3 7/8)?
A. 17/24
B. 1 1/6
C. 8 11/24
D. 10 23/24
Anyone know answers to these? I don’t understand these at all
Answer:
[tex]\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}[/tex]
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
opposite angles of a parallelogram are equal in measure.
[tex]\implies (10x-19)\degree=(9x-5)\degree[/tex]
[tex]\implies 10x-19=9x-5[/tex]
[tex]\implies 10x-9x=19-5[/tex]
[tex]\implies x=14[/tex]
[tex]m\angle B= (9x-5)\degree[/tex]
[tex]\implies m\angle B= (9*14-5)\degree[/tex]
[tex]\implies m\angle B= (126-5)\degree[/tex]
[tex]\huge\implies m\angle B= 121\degree[/tex]
Opposite sides of a parallelogram are equal.
3y - 1 = y + 15
3y - y = 15 + 1
2y = 16
y = 16/2
y = 8
AD = 3y - 1 = 3*8 - 1 = 24 - 1
AD = 23