Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
scale factor = [tex]\frac{PQ}{XY}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
That is the sides of Δ PQR are half those of Δ XYZ, thus
The perimeter of Δ PQR is half Δ XYZ, that is
perimeter of Δ PQR = [tex]\frac{1}{2}[/tex] × 20 = 10
x(4- k) = p
solve for k
Answer:
Answer
3.0/5
10
FluttershyK22
x(4-k)=p
[x(4-k)=p]/x
4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x
Step-by-step explanation:
Answer:
k = - 4 + p
Step-by-step explanation:
p = x ( 4 - k )
p = 4x - kx
-4x -4x
4x - p = - kx
divide by -x
-k = 4 - p
divide by -
k = - 4 + p
Hope this helps!!!
The parabola with equation $y=ax^2+bx+c$ is graphed below:
(attached)
The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?
Answer:
[tex]m-n=2[/tex]
Step-by-step explanation:
Instead of using the standard form, we can use the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient, and (h, k) is our vertex.
Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:
[tex]f(x)=a(x-2)^2-4[/tex]
Now, we need to determine a.
We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:
[tex]12=a((4)-2)^2-4[/tex]
Solve for a. Subtract within the parentheses:
[tex]12=a(2)^2-4[/tex]
Add 4 to both sides:
[tex]16=a(2)^2[/tex]
Square:
[tex]16=4a[/tex]
Solve:
[tex]a=4[/tex]
Thererfore, the value of a is 4.
So, our function is:
[tex]f(x)=4(x-2)^2-4[/tex]
Now, let’s find our roots. Set the equation to 0 and solve for x:
[tex]0=4(x-2)^2-4[/tex]
[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]
So, our roots are 1 and 3.
The greater root is 3 and the lesser root is 1.
Therefore, m-n, where m>n, is 3-1 or 2.
Our final answer is 2.
Answer:
2
Step-by-step explanation:
Source: AOPS
(3x-5) (7x+5) find x
Answer:
I
Step-by-step explanation:
3x-5+7x+5+90=180
x=9
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! i’m failing grade 10 precal and i need this❤️ will give 15 points
Answer:
1) if Line AB is parallel to line CD then value of a is: a=3
2) if Line AB is perpendicular to line CD then value of a is: a=1
Step-by-step explanation:
We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:
We can use slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] to find value of a according to conditions given.
We are given:
[tex]x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \[/tex]
a) Line AB is parallel to line CD.
When 2 lines are parallel there slope is same so, using this we can find value of a
[tex]Slope \ of \ line \ AB = Slope \ of \ line \ CD[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3[/tex]
So, if Line AB is parallel to line CD then value of a is: a=3
b) Line AB is perpendicular to line CD.
When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a
[tex]Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1[/tex]
So, if Line AB is perpendicular to line CD then value of a is: a=1
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
Cheddar Cheese
$3/1b
Swiss Cheese
$5/16
Keisha is catering a luncheon. She has
$30 to spend on a mixture of Cheddar
cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she
buys only Cheddar cheese? Only Swiss
cheese? A mixture of both cheeses?
What linear equation in standard form can
she use to model the situation?
If she buys only Cheddar, and she spends all $30, she can buy
(Type an integer or a decimal.)
pounds.
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
simplify the expression: 8x + 13 - 3x + 9=
Answer:
5x + 22=
Step-by-step explanation:
8x+13-3x+9
Combine like terms.
8x-3x=5x
13+9=22
Piece it back together.
5x+22
And there you have it. Hope it helps! :3
Can somebody plz answer all of them correct except number 7!!! Please thanks so much :) it’s my corrections :/
WILL MARK BRAINLIEST
Answer:
Number 8 is going to be 5/2
Number 9 is going to be 31/8
Number 10 is going to be 7/4
Number 11 is going to be 29/6
Number 12 is going to be 67/13
Step-by-step explanation:
Hope this helped
A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?
Answer:
[tex]f(x)=-4(x-2)(x+7)[/tex]
Or, in standard form:
[tex]f(x)=-4x^2-20x+56[/tex]
Step-by-step explanation:
We can use the factored form of a quadratic equation:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where a is the leading coefficient and p and q are the zeros of the quadratic.
We know that the x-intercepts are at (2, 0) and (-7, 0).
So, let's substitute 2 for p and -7 for q. This yields:
[tex]f(x)=a(x-2)(x+7)[/tex]
Now, we need to determine a.
We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:
[tex]32=a(1-2)(1+7)[/tex]
We can now solve for a. First, compute:
[tex]32=a(-1)(8)[/tex]
Multiply:
[tex]32=-8a[/tex]
Divide both sides by -8:
[tex]a=-4[/tex]
So, the value of a is -4.
Therefore, our entire equation is:
[tex]f(x)=-4(x-2)(x+7)[/tex]
Notes:
We can expand this into standard form:
[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]
write down the factors of 18
Answer:
Factors of 18 are 1, 2, 3, 6, 9, 18
-2
What is the solution to the equation
-30 3
+
- 20-8
0-4
d+2?
O d = -4 and d = 2
O d= -2 and d = 4
O d=1
O d = 2
Answer:
It would be the 2nd one
Step-by-step explanation:
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
pls help me yes you help
Answer:
C
Step-by-step explanation:
Answer:
C) A car can travel 80 miles on 2 gallons of gasoline.
Step-by-step explanation:
They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.
Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.
Simplified version of answer d: 40 miles/ 20 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Hope this helped you : )
Which point represents the approximate location of √23?
A) point A
B) point B
C) point C
D) point D
Answer:
A
Step-by-step explanation:
√23 is 4.795
So point A
Peter creates balloon animals for different events. He has 644 balloons. He wants to use
the same number of balloons for each of 28 events. How many balloons can Peter use at
each event?
Answer:
He uses 23 balloons for each of the 28 events.
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
I divided 644 by 28. There are 644 balloons and you want to split
(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!
The top view of a portion of streets in Buffalo, New York is shown. Williams Street runs parallel to Broadway Street and the angle where the Storage is located has a measure of 120 degrees.
Identify other businesses that occupy corners with an angle measure of 120 degrees. Select all that apply.
Answer Choices:
Auto Parts
Charity
Furniture
Pharmacy
Restaurant
Answer:
Auto Parts, Furniture and restaurant.
Step-by-step explanation:
if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.
Whats % is 4 of 16 ?
Answer:
25 percent
Step-by-step explanation:
percent=1/100
16 times x=4
16 times 1/4=4
Answer:
.06 % (6%)
Step-by-step explanation:
I'm not good at explaining but,
Using baseball method I:
1. Wrote it out as a fraction
2. multiplied numerator (4) by the denominator of (16)
3. Then I divided the product of that, 64, by 100 and got .04
Which is 4% (:
Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $80.00 6% ?
Answer:
sales Tax = 4.8
total cost = 84.8
Step-by-step explanation:
80.00 * 6% = 80.00 * 0.06 = 4.8
Answer:
Sales tax: 4.80 Total costs: 84.80
Step-by-step explanation:
Price x sales tax rate = sales tax
80 x .06(6%) = 4.80
price + sales tax = total costs
80 + 4.80 = 84.80
I WILL GIVE BRAINLIEST. I NEED ANSWER ASAP.
I believe it is C :)
simplify the expression -2d-3+8d
Answer:
6d-3
Step-by-step explanation:
Austin makes a
Commission of 20% on
his sales each week.
Last week, his sales
were $520. How much
was Austin's
Commission?
Answer:
104$
Step-by-step explanation:
520/10*2
Answer:
$104
Step-by-step explanation:
cool person said it so
PLEASE HELP!
In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
Answer:
The answer is 2nd one
2nd pair of triangle is congruent by ASA(angle side angle)
Answer:
2nd option is correct.
plz help I'll give brainest
Answer:
B
Step-by-step explanation:
absolute value is 2½
hope it helped
please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Thanks,
brownarietta8
P.s please tell me if my screen looks pink
Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
Your welcome!
Brainliest Appreciated!
Answer:
Subtract 9 from z z-9
Add 9 and z 9+ z
divide 9 by z 9/z
multiply 9 by z 9z
P.S you screen is not pink
Step-by-step explanation:
Find the equation of the line specified.
The line passes through the points (-2, 3) and ( -4,7)
Answer:
Step-by-step explanation:
to get the slope, we use the fotmula y2-y1/x2-x1
so that would be
7-3 over -4-(-2)
7-3=4 and -4-(2)=-2
so the slope is -4/2x, or simply -2x
What is 325.623 rounded to the nearest tenth?
Answer:
325.6
Step-by-step explanation:
i need help with geometry rotations
Answer:
Search it up on utube
Step-by-step explanation:
Gumballs cost $0.50 each and jawbreakers cost 0.30 each bob has $3.00 to spend
Create an inequality that represents the number of gumballs and jawbreakers Bob can buy
Answer:
a0.50 + b0.30 ≤ $3.00
Step-by-step explanation:
From the question, we have:
Gumballs cost per unit = $0.50
Jawbreakers cost = $0.30
Total budget of Bob = $3.00
Let a represents the number of Gumballs Bob can buy.
Let b represents the number of jawbreakers Bob can buy.
Therefore, inequality that represents the number of gumballs and jawbreakers Bob can buy can be given as follows:
a0.50 + b0.30 ≤ $3.00
The inequality implies that total amount Bob can spend on both gumballs and jawbreakers can be less or equal to $3.00 but cannot be greater than $3.00.