Answer:
Step-by-step explanation:
Part A
w² + 6w + c = 130 + c
w² + 2(3w) + c = 130 + c
To make left side of the equation a perfect square we will replace c by (3)².
w² + 2(3w) + 3² = 130 + c
[By formula → a² + 2ab + b² = (a + b)²]
w² + 2(3w) + 9 = 130 + 9
Therefore, c = 9 will be the answer.
Part B
From part A,
(w + 3)² = 139
Option (2) and Option (6) are the correct options.
Part C
w + 3 = √139
w = 11.79 - 3
w = 8.79
w ≈ 8.8 inches
BC
Round your answer to the nearest hundredth.
А
65°
6
B
?
Answer:
90
Step-by-step explanation:
The missing value is 2.56 to the nearest hundredth.
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
We have a right-angled triangle.
And cos(θ) = Adjacent leg / hypotenuse
cos(65°) = The missing value / 6
The missing value = cos(65°) x 6
The missing value = 0.4226 x 6
The missing value = 2.56 to the nearest hundredth.
Therefore, the value is 2.56.
To learn more about the trigonometric identities;
https://brainly.com/question/24377281
#SPJ2
What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (3, -8)(3,−8)? Put your answer in fully reduced form.
Enlarge the triangle by scale factor -2, using point (8,8) as the centre of enlargement
(please hurry 15 points)
Answer:
I understand you probably don't need this anymore but here is the answer anyway.
Step-by-step explanation:
So what you want to do is draw a line from a corner to the centre of enlargement (I'll use the one at (9, 10) ). Then you see that it take 2 boxes to get to that, keep the line going through for double as much as it took to reach the centre of enlargement, this is because the scale factor is two. Do this for every corner, going through the centre of enlargement for the double the length it took to get to it (plot a cross at each bit you end up). Finally, remove the lines you used and connect the crosses. This method may be a bit confusing and someone who understands it more than me would probably explain what the minus means, if I explain it will probably make this more confusing. Hope this Helps!
Simplify the following expression: 6c - 9c - 8
pls show work so i can write down
Answer:
[tex] - 3c - 8[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](6c - 9c) - 8[/tex]
2) Simplify.
[tex] - 3c - 8[/tex]
Therefor, the answer is -3c - 8.
WILL GIVE BRAINLIEST!
d(n)=3(−2) ^(n-1)
d(n)=3(−2)
n−1
What is the 4th term in the sequence?
Answer:
-24
Step-by-step explanation:
158.297 rounded each number to the nearest while number
Answer:
158.3
Step-by-step explanation:
Kevin went to the movie theater for his birthday. A mix of adults and children attended, making a total of 19 people. Each adult ticket was $9 and each child's ticket was $6. If the total cost for the party was $153, how many adults and how many children went to the theater?
Answer:ddeeececdshcbd
Step-by-step explanation:
curcirjcirvirvnr
PLS HELP ASAP 4 BRAINLIEST
Answer:
8.0<x<8.5
Step-by-step explanation:
Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
Answer:
The possible coordinates of point A are (-8,-4) or (-8,6)
Step-by-step explanation:
The distance between two points is given by the formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
For point A [tex](x_{1} , y_{1})[/tex]; [tex]x_{1}= -8[/tex] and [tex]y_{1}[/tex] is unknown
For point B [tex](x_{2} , y_{2})[/tex]; (4,1) i.e [tex]x_{2}=4[/tex] and [tex]y_{2}=1[/tex]
and d = 13
Putting the values into the equation,
[tex]13= \sqrt{[(4-(-8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{[(4+8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{12^{2} + (1-y_{1})^{2} }\\13^{2} = 12^{2} + (1-y_{1})^{2} \\169 = 144 +(1-y_{1})^{2}\\169-144 = (1-y_{1})^{2}\\25 = 1 -2y_{1} +y_{1}^{2} \\y_{1}^{2} -2y_{1}+1-25 =0\\y_{1}^{2} -2y_{1}-24 =0\\y_{1}^{2} -6y_{1} + 4y_{1} -24 =0 \\y_{1}(y_{1}-6) +4(y_{1} -6) = 0\\(y_{1}+4)(y_{1}-6) =0\\(y_{1}+4)=0 or (y_{1}-6) =0[/tex]
[tex]y_{1}+4= 0[/tex] or [tex]y_{1}-6 =0[/tex]
[tex]y_{1} =-4[/tex] or [tex]y_{1} = 6[/tex]
Hence, the possible coordinates of point A are (-8,-4) or (-8,6)
B. Find f(2) for each of the following:
1. f(x) = 3x - 1
2.f(x) = x(to the power of two) - 1
Step-by-step explanation:
[tex]1) \\ f(x) = 3x - 1 \\ f(2) = 3(2) - 1 = 5 \\ 2) \\f(x) = {x}^{2} - 1 \\ f(2) = {2}^{2} - 1 = 3[/tex]
Taryn's dog, Skeeter, consumes an average of 1,155 calories per day. However, Skeeter participated in a dog race this morning, so
he needs more than his average number of calories. Skeeter has already eaten 693 calories today, and Taryn feeds him
231 calories per meal.
2313 + 693 > 1,155
How many more meals does Taryn need to feed Skeeter today? Select the inequality that includes the smallest number of meals
Taryn can feed Skeeter while still feeding him enough calories for the day.
A. x>3
B. x>231
C. x>2
D. x > 693
Answer:
The answer is C. x = 2
>
<
=
pls help i beg u
Answer:
its less than <
Step-by-step explanation:
........
Answer:
>
Step-by-step explanation:
[tex]12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} [/tex]
how are below 0, -10 and -20 related?
PLEASE HELP!!!!
Answer:
It’s a way to show how things are related. It may be a mathematical pattern.
Step-by-step explanation:
Three semicircles are placed in a rectangle, as shown below. The width of the rectangle is 11m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer.
Answer:
para Es que yo soy español y no te entiendo
Jeff and Marcia own a llama farm. On their farm, they have 240 llamas.
Each llama they sell earns them a $325.00 profit. If they were to sell 3/5 (three-fifths) of their
llamas, how much total profit would they make?
Show your work.
A. $31,200.00
B. $46,800.00
C. $62,400.00
D. $78,000.00
Answer:
$46,800
Step-by-step explanation:
3/5 of 240 is 144
144*325 is 46,800
Answer:
b3/5of240 is144thentimesby325.00
Find KL. URGENT!!!!!!
Step-by-step explanation:
JM = 27 ---- ( given )
JM = KL
so, KL = 27
------------------------------FOLLOW MESolve the proportion 10/p+2 =4/3
Answer:
p=11/2
Step-by-step explanation:
there are algebra calculators
As an estimation we are told £3 is €4 convert £13.50 to euros
Answer:
€18 is the answer
If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying
simplify the rational expression: x-a/7x + 5x-5a/7x
Answer:6x - (6xa)/(7)
Step-by-step explanation:
What are the zeros of the function h(x)=2x2+x−15
?
A
x=−3andx=−52
B
x=−3andx=52
C
x=−52andx=3
D
x=52andx=3
What is the probability of randomly picking a green tile from a bag containing all green tiles? *
Answer:
100%
Step-by-step explanation:
Picking a green tile from a bag with nothing with green tiles is 100%, because what else could you get
HURRY
What is the name of the figure?
triangular prism
O triangular pyramid
O rectangular prism
O rectangular pyramid
Answer:
rectangular pyramid
Step-by-step explanation:
PLEASE BEED HELP ASAP
Answer:
1. Complementary Angles.
2. x=60°
Step-by-step explanation:
Part 1:
*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.
In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.
Part 2:
1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.
2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:
2x=120
3. Now we will divide both sides by 2
[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]
4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.
Identify the best measure of Sin C
Answer:
[tex]\sin C=\frac{28}{35}[/tex]
Step-by-step explanation:
In a right triangle, [tex]\sin\theta =\frac{\text{opp}}{\text{hyp}}[/tex]. In this case, the side opposite to angle [tex]C[/tex] is 28 and the hypotenuse is 35. Therefore, the exact value of [tex]\sin C[/tex] is [tex]\boxed{\frac{28}{35}}[/tex].
(3i+5)+(2-6i) simplify
Answer:
(3i+5)+(2-6i)
⇒ 3i+5+2-6i
⇒3i-6i+5+2
⇒-3i+7
The simplified form of (3i+5)+(2-6i) will be -3i+7
Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
A truck is carrying mango juice and grapefruit juice bottles. The ratio of mango juice to grapefruit juice is 3:4 How many mango juice bottles are there if there are 24 grapefruit juice bottles? Write a ratio and use x as your variable.
Answer:
18
Step-by-step explanation:
3/4 of 24 is 18.
Another way of writing it is 75% of 24 = 18
Jules buys a washing machine.
20% VAT is added to the price of the washing machine.
Jules then has to pay a total of £600.
What is the price Is the price of the washing machine with no VAT added
Answer:£500
Step-by-step explanation: 600 ÷ 1.05
Answer:
£500
Step-by-step explanation:
plz i got need help here
Answer:
The parallelograms having perpendicular diagonals are square and rhombus so
e. b and d are true.
Hope it will help :)❤
Answer:
I think Rhombus
Step-by-step explanation:
100 POINTS
At what point do the lines represented by the equations y=3x+1 and y=−2x−8 intersect?A.(1,−8)
B.(−7,−20)
C.(2,−3)
D.(−95,−225)
Answer:
d
Step-by-step explanation: