9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:
11×9 = 3x
x = 99/3 = 33
5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.
Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
https://brainly.com/question/10724274
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.
The uniform width of the frame is 16.61 inches.
Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:
√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X
Therefore, the uniform width of the frame is 16.61 inches.
Learn more in https://brainly.com/question/15218328
Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
Bird flying 4 feet above sea level seal is 6.5 below surface
How tall is House B?
Answer:
25 maybe I don't now ok because is house a is 24 maybe house b will be 25
Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces.
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
A down payment of $195 is made on a television that costs $1300. What percent of the
cost is the down payment?
Answer:
15%
Step-by-step explanation:
Add 195 to 1300, which gives you, 1495.
Use the formula for percent change: Difference = % * original price.
So what is the difference between 1495 and 1300? It’s 195.
Now we have 195 as the difference.
Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.
Now we have the equation 195 = % * 1300
We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.
Therefore, 15% is the down payment. Hope this helps!
Through (-4, 4) with slope of -3/4 answer
Answer:
use formula
(x-x^1)=m(y-y^1)
Find the value of this expression if x = 5.
Hi there!
»»————- ★ ————-««
I believe your answer is:
5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.
Answer:
6 hours will have past if it's then -2°C
Hello, please help me, rlly need help, Bellaguy08 you better not keep posting scam links!
Answer:
1/10
Step-by-step explanation:
The default placeholder value for tenths in math is 0.1, or 1/10. the first digit after the decimal point.
if a fuel efficient car can go 210 miles on 4gallons of fuel, how far can it go on 12
Resuelve (10x-8y)(6x+4)=
Answer:
60x^2 + 40x - 48xy - 32y
Step-by-step explanation:
Let's solve this using the FOIL (first, inner, outer, last) method.
(10x-8y) (6x+4)
= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4
= 60x^2 + 40x - 48xy - 32y
Answer: 60x^2 + 40x - 48xy - 32y
Soory for the wrong answer i re solved it :)
What is 10 minus 1.5 i will mark branliest if you show woking out like collum method pls show IT
Answer:
[tex]17/2[/tex]
Step-by-step explanation:
I don't know what the column method is, but I can give you another method of solving.
We know that [tex]1.5=1~1/2=3/2[/tex], so we really want to find [tex]10-3/2[/tex].
We know that [tex]20[/tex] divided by [tex]2[/tex] is [tex]10[/tex], so we really want to find [tex]20/2-3/2[/tex].
We can combine fractions with like denominators, so we really want to find [tex](20-3)/2[/tex].
We know that [tex]20-3[/tex] is [tex]17[/tex], so we really want [tex]17/2[/tex]. We can't simplify [tex]17/2[/tex] anymore.
So, the answer is [tex]\boxed{17/2}[/tex] and we're done!
HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal
Answer:
[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]
What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4
Answer:
d. 4
Step-by-step explanation:
the numbers in the sequence keep increasing by a unit of 4.
-5 + 4 = -1
-1 +4 = 3
3 + 4 = 7
Answer:
B -4
Step-by-step explanation:
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
Mona is decorating a bulletin board. She has 32 butterflies and wants to put them in 4 rows. Which picture shows how many she should put in each row?
Answer:
8
Step-by-step explanation:
you do 32/4 which is 8 so the anwer should be 8
M is the midpoint of JK. Find the coordinates of K.
J (-8, 4), M (-1, 1)
Multiply [-1 3/5 x (-6)] x (-3 3/4) x 10
Answer:
-360
Step-by-step explanation:
hope this helps!
Answer:
-360
Step-by-step explanation:
[-1 3/5 × (-6)] × (-3 3/4) × 10
= [-8/5×-6] × -15/4×10
= 48/5×-15/4×10
= -360
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
Hi could someone please help me thank you
Answer:
f(x) = 25 * 1.25ˣ
Step-by-step explanation:
Use Desmos
Search it up
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
y = 1/36x²
please help me this is due at 6:00 and I will out for a while so please help
Answer:
a. -15
b.-5
2. 4/-3
Step-by-step explanation:
Express the relation below as a set of order pairs
(-3,9) (1, 1)
Step-by-step explanation:
can someone pls help me <33
9514 1404 393
Answer:
(a) 29/69
Step-by-step explanation:
It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.
Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.
The reduced fraction is ...
made shots/attempts = 174/414 = 29/69
__
Additional comment
As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).
174/414 ≈ 0.42028986
29/69 ≈ 0.42028986 . . . . same value
87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced
17/41 ≈ 0.41453415 . . . . . not equivalent
14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)
The sum of 6 times and 4 is 2
Answer:
6x +2=3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example, I'm using x)
When you put it all together, it is 6x + 2 = 3