Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
Answer:
35
Step-by-step explanation:
[tex]xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}[/tex]
f(x) = 3x + 5
g(x) = 4x^2 – 2
h(x) = x^2 – 3x + 1
Find f(x) – g(x) – h(x).
Answer:
f(x) – g(x) – h(x) = -5x^2 + 6x + 6
Step-by-step explanation:
Copy f(x) as is: f(x) = 3x + 5
Negate g(x): -g(x) = -4x^2 + 2
Negate h(x): -h(x) = -x^2 + 3x - 1
Now combine like terms:
f(x) – g(x) – h(x) = -5x^2 + 6x + 6
HURRY PLEASE!! I’ll mark you as brainliest!! im being timed
the graph represents the water path of a fire hose. what is the maximum value of the function? explain what the maximum value represents in this situation.
Answer:
24 will be the maximum value of this graph
Answer: the maximum value is 24 vertical and 20 horizontal
Step-by-step explanation:
(1,-19),(-2 -7) finnd the slope to this equation
Answer:
slope is 4
Step-by-step explanation:
PLEASE HELP ME ASAP??!Which of the following are valid names for the triangle below? Check all that
apply.
Answer:
A, E
Step-by-step explanation:
Answer:
a,e
Step-by-step explanation:
Write the expression in simplest form.
(11 + 3) – 2(- 4 1 - 1) =
NIO
Answer:
11+3=14
-41-1=-42
14-2(-42)
-2(-42)
14+84
98
I hope this is good enough:
Simplify the expression
Answer:
f(y) = y g(y) = y - 6Step-by-step explanation:
[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7) 0.356b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)log (7)
1.1397Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please
Answer:
Property of Equality
Step-by-step explanation:
Answer:Property of Equality
STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:
PLEB
Give the domain and range of the relation.
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).
Step-by-step explanation:
it c
Can someone plzz answer this!!?
Answer: B Angle Side Angle
Step-by-step explanation:
Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.
Will mark brainliest!! Please answer ASAP
Will give extra points!!!
Please let me know if the picture above answer is correct or not and tell me the right answer!
Second question-
Which linear equation can be used to represent a line parallel to the x axis that passes through the point (8,5)
1) y=5
2) y=x+8
3) y=x+5
Answer:
y=5
Step-by-step explanation:
y= 5 is always parallel to x axis
,
[tex]33333 \div 2[/tex]
what do you need to add to 2 4/7 to make 4
answer=0.58
Step-by-step explanation:
24/7= 3.42 ,so you subtract this from 4 to get 0.58
(19 -16), (-7 -15) find the slope
Johnny has 4 cups of hot cocoa the instructions tell him to add 1 pint of water for every 2 pints of cordial how much water should he add
Answer:
1 pint
Step-by-step explanation:
Part A: what is the measure of QRS?
Part B; what is the measure of Q?
Answer:
QRS = 66° and Q = 95°
Step-by-step explanation:
Required Answer
[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]
[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]
Correct Question:
To find of :
∠QSR∠QExplanation:
∠QSR+∠QRT=180⁰
Reason:
linear pair
.°. ∠QSR+114⁰=180⁰
∠QSR=180⁰-114⁰
∠QSR=66⁰
Can also be done as follows:
To find value of ∠QSR first we have to find y
y⁰+(5y)⁰=114
Reason:
exterior opposite angle is equal to sum of interior angles
6y=114
y=114/6
y=19
y⁰+(5y)⁰+∠QSR=180⁰
Reason:
sum of angles of triangle =180⁰
6y+∠QSR=180⁰
6×19+∠QSR=180⁰
114+∠QSR=180⁰
∠QSR=180⁰-114⁰
∠QSR=66⁰
From second part we get the value of y
.°.∠Q=5×19
∠Q=95
In AXYZ, P is the centroid and YC = 15.
Find the length of YZ
PLEASE HELP!
Answer:
YZ = 30
Step-by-step explanation:
In Δ XYZ
∵ P is the centroid
∴ XC, YB, and ZA are the medians of the triangle
∵ Each median bisects its base
∴ A is the mid-point of XY
∴ B is the mid-point of XZ
∴ C is the mid-point of YZ
∵ C is the mid-point of YZ
∴ YC = ZC
∵ YC = 15
∴ ZC = 15
∵ YZ = YC + ZC
∴ YZ = 15 + 15
∴ YZ = 30
∴ The length of YZ is 30
prove that cotx + coty = sin(x+y)/sin x sin y
Answer:
change L.H.S in terms of sin and cos
Step-by-step explanation:
so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.
Use the dropdown to complete the following inequality.
Answer:
>
Step-by-step explanation:
b is clearly negative
- - = +
so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative
mr. and Mrs . Coronado took a bus to belmopan . they left at 7:15 a.m. and arrived at 8:00 a.m . How long was the trip show ur working out and thank u once again
Answer:
The trip was 45 minutes
Step-by-step explanation:
you take 60 minutes which is an hour and subtract 15 to get 45 minutes
Parents will kill me if I don't get this done in an hour (BRAINLIEST IF ANSWER IS CORRECT AND WORK IS SHOWN)
Answer: -3 1/2 and -6
Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.
9514 1404 393
Answer:
D. The lines are perpendicular
Step-by-step explanation:
The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.
The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.
Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
Answer:
8/4 and 2/1(or just 2)
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the numbers-
(9-1)/(1+3) and (-7+9)/(-1+2)
Solve for x: 4X -8 < 2x + 10
Answer:
x<9
Step-by-step explanation:
4x-8<2x+10 subtract 2x both sides
2x-8<10 add 8 to both sides
2x<18 divide by 2
x<9
Which expressions are equivalent?
a) 1/5k-2/3j and -2/3+1/5k
b) 1/5k-2/3j and -1/5+2/3j
c) 1/5k-2/3j and 1/5j-2/3k
d) 1/5k-2/3j and 2/3j-1/5k
PLEASE HELP
Answer:
The answer should be A
Step-by-step explanation:
Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it
Answer:
A
Step-by-step explanation:
Trust me, i promise its correct
Consider the diagram.
Line l is a perpendicular bisector of line segment R T. It intersects line segment R T at point X. Line l also contains point S.
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
The segment that has the same measure as ST is SR
What are line segments?Lines segments with the same measures have the same lengths
From the question, we have the following highlights
Line segment I bisects line segment RT at point XLine segment I contains point SThe highlight (I) above means that:
Line segments RX and SX are congruent
Given that:
Line segment I contains point S
Then it means that:
Line segments ST and SR are congruent
Hence, the segment that has the same measure as ST is SR
Read more about perpendicular bisectors at:
https://brainly.com/question/11006922
15. The diameter of a circle is given as 10 cm, correct to the nearest cm. Calculate:
a) the maximum possible circumference
b) the minimum possible area of the circle consistent with this data
Answer:
10cm correct to nearest cm" means the diameter could be arbitrarily close to (but less than) 10.5 cm. So the maximum possible circumference is 10.5π cm.
"10cm correct to nearest cm" also means that the diameter could be arbitrarily close to (but greater than) 9.5 cm. So the minimum possible area is π(9.5)²/4 cm²
The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?
Answer:
2cmStep-by-step explanation:
Step one:
given data
for the large cube
the volume= 125cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
125=l^3
l=∛125
l=5cm
Step two:
given data
for the large cube
the volume= 27cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
27=l^3
l=∛27
l=3cm
The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cmWhat is 2M?
M=[3 5]
[-4 0]
Answer:
2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.
Step-by-step explanation:
Given the matrix
[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]
Multiplying by 2 will basically be a scalar multiplication.
Therefore, multiply each of the matrix elements by a scalar.
[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Hence, 2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.