Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
Given
Parallelogram: DEFG
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Which verbal expression best describes the algebraic expression 2x ÷ 4?
The quotient of 2 times some number and four.
Hope this helps and sorry if it is wrong but it’s what I got
Simplify (6w + 5.2) + (12.2 + 2.3w)
Answer:
The answer is 8.3 W + 17.4
If you click on the image it will show you how to solve the equation and I hope this helps you.
3 argumentos silogistas
Answer:
Step-by-step explanation:
Write the linear equation for this table.
Answer:
its A
Step-by-step explanation:
Please help! Find the area of this figure:
Answer:
this is an triangle.
so the area of triangle =1/2×base×hieght
so let fg be base
area of the triangle=1/2×6cm×5cm
area of triangle=15cm²
PLS HELP PLS HELP SORRY IF THE SUBJECT DOESNT MATCH
Answer:
it goes up to thirty
it has millimeters displayed in between
Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?
Answer:
42mph.
Step-by-step explanation:
We know that the formula for miles per hour is.
r = d/t
R is our rate or miles per hour.
D is our distance.
T is our time.
In this case our distance is 105 miles.
And our times is 2.5 hours.
Therefore if we substitute them into our formula:
105mi ÷ 2.5hrs = 42mph
Hope this helped!
What is the value of p so that the expression 4(5 + n) is equivalent to 4(n + p) ?
Answer:
5
Step-by-step explanation:
4(5+n)=4(n+p)
20+4n=4n+4p
4p=20
p=20/4
p=5
Answer:
the value of p is 5
Step-by-step explanation:
the expression 4(5 + n) is equivalent to 4(n + p)
4(5+n)=4(n+p)
5+n=n+p
n+5=n+p
comparing each other
we get p=5
57, 35, 9, 57, 2, 44
If cos A = 0.8945, find the measure of angle A to the nearest degree.
_x_=-0.75 The two rational numbers have to have what in common?
Answer:
-3:4 is The two rational numbers have to have in common.
which exponential expression is equal to 2−5·28
Answer:
Impossible
Step-by-step explanation:
Solve the answer 2-5*28 = -138
This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.
The coorrdinate grids show the cost of different numbers of bookmarks .How many cents do 4 bookmarks cost?
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.
The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:
[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]
Therefore the cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 48 + 6
y = 54 cents
Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?
Answer:
Anna: 1000cm
Bill: 1500
Chloe: 2000
convert m to cm
Answer:
4500 cm
Step-by-step explanation:
1 meter = 100 cm
10 meters = 1000 cm
15 meters = 1500 cm
20 meters = 2000 cm
1000 + 1500 + 2000 = 4500 cm
Find the value of x and the length of bc
Answer:
x-2=3*9
x=29
BC=29-2=27
Step-by-step explanation:
Hina buys a laptop for Rs 45,500 and pays 16% general sales tax. What is the amount of tax? plz need it urgent on some page
Answer:
₹7280
Step-by-step explanation:
16% of 45500 = 0.16 × 45500 = 7280
14 pencils cost £3.36. How much would 8 pencils cost?
Answer:
£1.92
Step-by-step explanation:
3.36/14 will give you the cost of each pencil
£0.24 is the cost of one pencil
8 pencils will cost you £1.92
Help I will be marking brainliest!!!!
A. 119.92
B. 80.49
C. 113.68
D. 175.49
===========================================================
Work Shown:
Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.
From that we can set up the proportion
VG/VT = VI/VA
which breaks down into
VG/(VG+GT) = VI/(VI+IA)
Let's plug in the given values. Let x be the length of segment IA.
Let's solve for x
VG/(VG+GT) = VI/(VI+IA)
72/(72+61) = 95/(95+x)
72/133 = 95/(95+x)
72(95+x) = 133*95 ......... cross multiply
6840+72x = 12635
72x = 12635-6840
72x = 5795
x = 5795/72
x = 80.4861111111111 ......... which is approximate
x = 80.49 ......... rounding to the nearest hundredth
The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.
Since we found IA = 80.49, this means,
VA = VI + IA
VA = 95 + 80.49
VA = 175.49
This is the length of segment VA, which is the same as segment AV.
-----------------------------
Here's a slightly similar way to solve:
VT = VG+GT = 72+61 = 133
VG/VT = VI/VA
72/133 = 95/x
72x = 133*95
72x = 12635
x = 12635/72
x = 175.486111111111
x = 175.49 is the approximate length of segment AV.
Solve
2x2 + 3x + 1 = 0
Answer:
it's false
Step-by-step explanation:
Answer:
x= -1 or x= -1/2
Step-by-step explanation:
x = -1, x = -1/2, Solve for x:
2 x^2 + 3 x + 1 = 0
The left hand side factors into a product with two terms:
(x + 1) (2 x + 1) = 0
Split into two equations:
x + 1 = 0 or 2 x + 1 = 0
Subtract 1 from both sides:
x = -1 or 2 x + 1 = 0
Subtract 1 from both sides:
x = -1 or 2 x = -1
Divide both sides by 2:
x = -1 or x = -1/2
answer and ill mark you BRAINIEST
match each shape to the formula
shapes:
A. trapezoid
B. circle
C. rectangle
D. semi circle
E. triangle
formulas:
1. A= πr²
2. A= 1/2 base x height
3. A= 1/2 (base 1 + base 2 ) x height
4. A= 1/2 πr²
5. A= length x width
Answer:
Step-by-step explanation:
Circle - A = πr²
Semi circle - A= 1/2 πr²
Trapezoid - A= 1/2 (base 1 + base 2 ) x height
Rectangle - length x width
Triangle - A= 1/2 base x height
Answer:
(see below)
Step-by-step explanation:
A) Trapezoid
3. A = 1/2 (base 1 + base 2 ) x height
~
B) Circle
1. A = πr²
~
C) Rectangle
5. A = length x width
~
D) Semicircle
4. A = 1/2 πr²
This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.
~
E) Triangle
2. A = 1/2 base x height
If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.
Jeremiah scored 32 points in yesterday’s basketball game. He made a total of 19 baskets.Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.
Answer:
17,-15
Step-by-step explanation:
Answer:
Please Give Brainliest
Step-by-step explanation:
60,000 is borrowed for 10 years. If the interest on the loan is 49,321.74 , find the monthly payment
Answer:
911.0145
Step-by-step explanation:
60,000 is the initial cost to repay and you add 49,321.74 because of interest
60,000+49,321.74= 109321.74 this is the final cost with interest
you divide by ten because there are ten years and you want it to equal 1 year
109321.74/10= 10932.174 this is the cost per year
last you divide by 12 because thats how many months there are per year
10932.174/12= 911.0145 this is the cost per month
What is 4xy-3xz+y-2x-5=
Answer:
xz+y-2x-5
Step-by-step equation
You can only combine like terms
Find the unit rate at which Jonas is paid.
Answer:
5 dollars per hour
Step-by-step explanation:
Answer:
5 per hour
Step-by-step explanation:
Divide 10 by 2 to get 5
A high school reports that its students' SAT scores were down by 8% in one year. The next year, however, the test scores rose by 18%. The high school principal announces, "Overall, test scores have improved by 10% over the past two years."
Answer:
B
1.09 is the improvement in scores
Step-by-step explanation:
Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
let a = scores
If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92
scores last year = 0.92a
If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a
Improvement in scores 1.09
Please help i have so much other work to do
Will give brainliest for full answer
Tyrone went to a basketball game and bought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39. Write an equation to find the original cost of the jersey
Answer:
Jersey cost (without discount)= $65
Step-by-step explanation:
First, we need to determine how much he spent on the jersey:
Jersey cost (with discount)= 83.39 - 37.89
Jersey cost (with discount)= $45.5
Now, the original cost of the jersey:
Jersey cost (without discount)= discount cost / (1 - discount)
Jersey cost (without discount)= 45.5 / 0.7
Jersey cost (without discount)= $65
The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .
Answer:
1 inStep-by-step explanation:
Given the expression to calculate the radius r of the base of a cone is given by the equation
r=(3V/piH)
v is the volume = 5in^3
H = 4in
pi = 3.14
Substitute
r = 3(5)/3.14(4)
r = 15/12.56
r = 1.19
r = 1in to the nearest inch
Solve the system of linear equations by graphing
Answer: (3,-1/2)
Step-by-step explanation:
Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.