Answer:
[tex] {a}^{2} - 2ab + {b}^{2} [/tex]
Step-by-step explanation:
too easy:)
Answer:
a^2 - 2ab + b^2
Step-by-step explanation:
(a-b)^2
(a-b)*(a-b)
(a*a)
(a*-b)
(-b*a)
(-b*-b)
a^2-ba-ba+b^2
a^2-2ba+b^2
Please please help me no links
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
[tex]AB=AC[/tex] (Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
[tex]\angle B\cong \angle C[/tex]
[tex]m\angle B\cong m\angle C[/tex]
[tex]m\angle B\cong 49^\circ[/tex]
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
[tex]m\angle ADB=90^\circ[/tex]
[tex]x^\circ=90^\circ[/tex]
In triangle ABD,
[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex] [Angle sum property]
[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]
[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]
[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]
[tex]y^\circ=41^\circ[/tex]
Therefore, the correct option is B.
Let h(x) = x*2 + kw - 8. If h(-1) = -5, what is the value of h(4)?
Help
Answer:
h(4) = 0
Step-by-step explanation:
Hoping its ' kx '
[tex]h(x) = x^2 + kx -8 \\\\h(-1) = (-1)^2 + k(-1) - 8\\\\-5 = 1 - k -8\\\\-5 = -k -7\\\\-5 + 7 = -k\\\\2 = -k\\-2 = k[/tex]
Now we have k = -2. We will find h(4).
[tex]h(4) = (4)^2 + (-2)(4) - 8 = 16 -8 - 8 = 0[/tex]
Answer:
h(4) = 0
Step-by-step explanation:
GIVEN :-
A quadratic function h(x) = x² + kx - 8h(-1) = -5TO FIND :-
Value of h(4)SOLUTION :-
To find the value of h(4) , you need to find 'k' first by using the given facts.
[tex]h(-1) = (-1)^2 + k(-1) - 8 = -5[/tex]
[tex]=> 1 - k - 8 = -5[/tex]
[tex]=> -k - 7 = -5[/tex]
Add both the sides by 7.[tex]=> -k - 7 + 7 = -5 + 7[/tex]
[tex]=> -k = 2[/tex]
Multiply both the sides by -1.[tex]=> -k(-1) = 2(-1)[/tex]
[tex]=> k = -2[/tex]
Putting the value of k,
[tex]h(4) = (4)^2 + (-2)(4) - 8[/tex]
[tex]= 16 - 8 - 8[/tex]
[tex]= 16 - 16[/tex]
[tex]= 0[/tex]
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Step-by-step explanation:
Correct option is
A
x= 4 and y = 5
Let the parallelogram be ABCD Perimeter= 40cm
AB =3x cm BC=2x cm(given)
Perimeter of parallelogram 2(3x+2x)=40
solving equation we get x=4
Also,AB=CD(opposite sides of parallelogram) 3x=2(y+1) (given)
Putting x=4
3(4)=2y+2
12=2y+2
10=2y
Hence y=5 and x=4
URGENT
PLEASE ANSWER!!!!
Answer:I honestly don’t know.....
im so sorry
Step-by-step explanation:
9 yd
8 yd
8 yd
8 yd
Find the combined volume of the structure that is made
up of a prism and a pyramid.
Answer:
9YD THIS IS MY ANSWERStep-by-step explanation:
this is no wrong thi is perfect answer ok
heart follow and star
The measures of two interior angles in a triangle are 108 degrees and 24 degrees. Find the measure of the third interior angle and the measures of the exterior angles.
Please give only real answers. I will give 50 points for who answered it right.
No docs/No files only type in the answer.
Answer:
A= third interior angle
108+24+A=180
A=180-24-108
A=48
Step-by-step explanation:
Evaluate the expression for p = 8.
4p =
Answer:
Answer = 32
Step-by-step explanation:
p= 8
4p
(4)(8)
=32
Answer:
I got, 8 x 4 = 32
PLEEEEEEEEEASE HELLLPPP TEACHER IS TERRIBLE AND WONT HELP MEEEEEE
Answer:
A(-1,1) B(-3,2) C(-3,4) D(-1,5)
Step-by-step explanation:
when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.
Al calcular “x” en la siguiente igualdad arcocos √3 / 2 = arcsenx el resultado es: (justifique su respuesta)
a. x = 0,5
b. x = 0,86
c. x = 1 / 3
Which cone has a volume of 24 x cm?
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
Im taking my algebra 1 final exam today... I'm nervous. Any advice? (I'm an 8th grader taking algebra and its challenging to me)
Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!
Which point is located on the x-axis of a coordinate grid?
I don't see the grid? did you attach a photo?
pls help in the middle of my final lol
Answer:
x+133 =131
x. =131-133
x. =(-2)
What is 6574893 + 7?????
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
Help! Geometry Triangle Congruence
Answer:
Step-by-step explanation:
Thank your for revising and improving the image.
Assuming DF is a straight line,
Given E is the mid-point of DF
mCE = mGF
CE || GF
Then
mDE = mEF (E midpoint of DF)
Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)
mCE = mGF (given)
Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)
What is the difference between a computer now from a computer in 1961?
Answer:
well first off the size we can fit compuers in our pockets nowadays
and hardware is insainly diffrent
Step-by-step explanation:
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
What is the value of x?
Answer:
Step-by-step explanation:
Corresponding angles are congruent
x² - 72 = 6x
x² - 6x - 72 = 0
Sum = -6
Product = -72
Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}
x² + 6x - 12x -72 = 0
x(x + 6) - 12(x + 6) = 0
(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}
x - 12 = 0
x = 12
Solve this problem on paper using all four steps.
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they
doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell
each week?
Answer: 104 boxes were sold in 1 week.
Step-by-step explanation:
I think I'm right sorry if I'm not, good luck!
Answer: First Week: 104 Second Week:109 Third Week: 218
sorry for being a year late
Ayuda Porfavor !!!!!!!!
Answer:
44
Step-by-step explanation:
10 x 3 = 30
8 + 6 =14
30 + 14 = 44
Answer:
110ft²
Step-by-step explanation:
Area of figure=(10×8)+(1/2×6×8)
=80+24
=112 ft²
=110 ft² (to nearest tenth)
Which of the following statements justifies why the triangle shown below is not a right triangle?
Answer:
C.
Step-by-step explanation:
15^2 not = 6^2 + 11^2.
Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?
Quick!! I need an answer fast! worth 40 POINTS!
Choose all the equations which are correctly solved.
A) x2 − 5x + 5 = 0 {2, 3}
B)x2 − 7x − 8 = 0 {−1, 8}
C) x2 + 12x + 20 = 0 {−2, −10}
D) x2 − 3x − 10 = 0 {2, 10}
E) x2 + x + 20 = 0 {4, 5}
Answer:
B) & C)
Step-by-step explanation:
___________________
In circle P, PQ = 3 in. What is the circumference of the circle?
Answer:
6π
Step-by-step explanation:
Formula: C=2πr
C=2π3
C=6π
PLEASE HELP ASAP Jack uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:
Number on the Cube
1:16
2:14
3:5
4:17
5:21
6:27
Heads: 41 Tails: 59
Using Jack's simulation, what is the probability of rolling a 6 on the number cube and the coin landing on heads?
Answer:
68
Step-by-step explanation:
I need help for today :( plz
Answer:
Step-by-step explanation:
Part C: (Explanation with steps)
Let the length of the swimming pool = l feet
And width of the pool = w feet
Perimeter of the pool = 2(l + w) feet
Since, perimeter of the pool = 8 feet
2(l + w) = 80
l + w = 40
l = (80 - w) -------(1)
Area of the pool = Length × width
A(w) = l × w
By substituting the value of l from equation (1)
A(w) = (80 - w) × w
A(w) = 80w - w²
To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.
A'(w) = 80 - 2w
(80 - 2w) = 0
w = [tex]\frac{80}{2}[/tex]
w = 40 feet
Therefore, for width (w) = 40 feet area of the pool will be maximum.
From equation (1),
l = 80 - 40
l = 40 feet
Therefore, maximum area of the pool = l × w
= 40 × 40
= 1600 square feet
Part A:
Function representing area of the pool,
A(w) = -w² + 80w
Part B:
Maximum area of the surface of the pool = 1600 square feet
Help me!
I promise will chose Brainliest..
Answer:
IDR 3,651.04
Step-by-step explanation:
4x24=96
96x2,400=230,400
230,400+50,000=280,400
280,400x1.25=350,500
350,500/96=3,651.04
IDR 3,651.04
Answer:
3651 IDR
Step-by-step explanation:
I need to make some assumptions, as the problem description is sometimes too vague.
I assume the delivery charge to cover all 4 boxes as one lump sum.
4 boxes with 24 pouches each.
=> Roma has 96 pouches total.
each pouch cost 2400. that is in total
96×2400 = 230400 IDR
then there is the delivery charge of 50000 for everything.
so, the total costs for Roma are
230400 + 50000 = 280400 IDR
25% profit means that the total sales (assuming all pouches are sold) is 25% higher than the costs.
profit = 280400 + 25%
25% is 1/4 of the total (as 25%×4 = 100%).
25% = 280400 / 4 = 70100.
so, in order to make 25% profit the total sales price (for all pouches sold) has to be
280400 + 70100 = 350500 IDR
now, we have 96 pouches. after selling all 96 pouches we need to have an income of 350500 IDR.
the price for each pouch has to be an equal share of the 350500.
pouch price = 350500 / 96 = 3651 IDR.
A bean plant grows at a constant rate for month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant, y, after x days?
Answer:
D or y-25=2(x-10)
Step-by-step explanation:
If you graph all or the answers the only one that hits both points is D.
help please asap PLEASE TELL ME THE WORKING AS WELL.
Answer:
a = 9 / 7
step by step explanation:
9 / - a + 15 = 8
Determined the defined range
9 / ( - a ) + 15 = 8 , a ≠ 0
subtract 15 from each side
9 / - a + 15 - 15 = 8 - 15
calculate the difference
9 / - a = - 7
multiply both side of equation by - a
9 / - a × - a = - 7 × - a
9 = 7 a
divide each side by of equation by -7
9 / 7 = 7 a / 7
9 / 7 = a
swap the side of equation . ( optional )
a = 9 / 7
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
[tex]\sf{6.) \frac{9}{ - a} + 15 = 8}[/tex][tex]\huge\underline{\sf{\red{Solution:}}}[/tex]
[tex] \quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} + 15 = 8}[/tex]
[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = 8 - 15}[/tex]
[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = -7}[/tex]
[tex]\quad \quad \quad \quad\sf{ ⟶ 9 = 7a}[/tex]
[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{a} = \frac{7a}{a} }[/tex]
[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ 7} = \frac{ \cancel{ \red{7}} a}{ \cancel{ \red{7} }} }[/tex]
[tex]\quad \quad \quad \quad \boxed{\sf{ ⟶ \frac{9}{7} = a } }[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex] \huge \quad \quad \underline{ \boxed{\sf{ \red{ \frac{9}{7} = a }} }}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]