Answers
Answer:
(- 5, 0 ), (7, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 108 ), thus
y = a(x - 1)² - 108
To find a substitute (0, - 105 ) into the equation
- 105 = a(- 1)² - 108 ( add 108 to both sides )
3 = a
y = 3(x - 1)² - 108 ← equation in vertex form
To find the x- intercepts, let y = 0, that is
3(x - 1)² - 108 = 0 ( add 108 to both sides )
3(x - 1)² = 108 ( divide both sides by 3 )
(x - 1)² = 36 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 1 to both sides )
x = 1 ± 6, so
x = 1 - 6 = - 5
x = 1 + 6 = 7
x- intercepts are (- 5, 0), (7, 0)
Related Questions
bob has to pack 192 boxes. this morning, he packed 84 boxes in 3 1/2 hours. if bob continues at the same rate, how long will it take him to pack the remaining boxes?
Answers
Answer:
4.5 hours
Step-by-step explanation:
Total number of boxes = 192
84 boxes = 3.5 hours
Remaining boxes = (192 - 84) = 108 boxes
84 boxes = 3.5 hours
1 box = (3.5 ÷ 8) hours
108 boxes = 3.5 × 108/84
108 boxes = 4.5 hours (Answer)
Answer:
4.5 hours! The person above me is is correct.
Step-by-step explanation:
find the length of the missing sides
Answers
Y=12
I hope this helped :)
Answer:
x = 4√3
y = 8√3
Step-by-step explanation:
This is a special 30° 60° 90° right triangle
In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3
Here, the side length that sees 60° is given as 12
12 = x√3 and x = 4√3 therefore y is 8√3
(will give brainliest) Find the area of the shaded regions.
Answers
Answer:
84.78cm^2
Step-by-step explanation:
first we do pi*r^2.
3.14*6^2=113.04
Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.
113.04*.75=84.78cm^2
Answer:
84.78cm^2
Step-by-step explanation:
Simplify
(5/7)a²+13-(5/7)a-3
Answers
Answer:
c
Step-by-step explanation:
combine like terms:
5/7a^2+-5/7a+10
HOPE THIS HELPS!!!!!!:)
What is the solution to the equation 32x − 1 = 243? Question 18 options: A) x = 2 B) x = 3 C) x = 4 D) x = −2
Answers
Answer:
x = 4
Step-by-step explanation:
To solve this equation, first you want to write the whole thing out.
32x - 1 = 243
Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:
32x = 244
Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.
x = 4
Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!
I hope this helped and good luck with your math!
I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.
Answer:
x=3
Step-by-step explanation:
Which of the following arcs are congruent in the circle below?
A. AC = ABD
B. CD = BD
C. CD = AB
D. AB = BD
Answers
Answer:
C
Step-by-step explanation:
CB is congruent to AB because the both are 30 degrees
*PLEASE ANSWER* What is the perimeter of the triangle below?
Answers
Answer:
16.7 Units
Step-by-step explanation:
To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units
Answer:
it is b
Step-by-step explanation:
just because it is ...
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answers
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.
Also need the slow of line p
Answers
Answer:
y + 5 = (1/3)(x - 6)
Step-by-step explanation:
Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q: -1/3.
Starting with the point-slope formula y - k = m(x - h), we get
y + 5 = (1/3)(x - 6)
What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3
Answers
Answer:
1/3
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
we have two point ( 0,0) and ( 3,1)
= ( 1-0)/( 3-0)
= 1/3
What is the length of the short leg in the 30-60-90 triangle shown below?
Answers
Answer:
it is D. 5
Step-by-step explanation:
The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A
Answer:
[tex]\boxed{Shortest\ Leg = 5}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg
=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg (Tan 60 = √3)
=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]
=> Shortest Leg = 5
help me plzzzz i need help i need help right now right now
Answers
Answer:
the third one is correct
please solve these questions for me. i am having a difficult time understanding.
Answers
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
is this right?? please help!
Answers
Answer:
6 < x < 8
Step-by-step explanation:
The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.
-47 > 1 -8x > -63 . . . . given
Multiply by -1:
47 < -1 +8x < 63
Add 1:
48 < 8x < 64
Divide by 8:
6 < x < 8
______
* You can tell this is the case by looking at the ends of the given statement:
-47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.
what is the slope line through (0, 5) and (-2, -1)
Answers
Answer:
3 or 3/1
Step-by-step explanation:
Slope is also known as rise/run.
The formula used to find slope is y^2-y^1/x^2-x^1.
The work is below:
-1-5/0-2
-6/-2
3/1
m=3
When we calculate the slope using the formula, we find that the slope(m) equals to 3/1 or 3 which means that you rise up by 3 and run to the right 1.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same). A measure of steepness is a slope. When building roads, one must determine how steep the road will be. These are some examples of slopes in real life.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the line is passed through the following points,
(x₁,y₁)=(0, 5)
(x₂,y₂)=(-2, -1)
The slope of the line is found as,
m=(y₂-y₁) / (x₂-x₁)
Substitute the given values,
m=-(1-5)/(0-2)
m=(-6)/(-2)
m=3/1
The slope(m) equals 3/1, or 3 when we compute the slope using the formula, meaning that you rise up by 3 and move to the right by 1.
Thus, the slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ2
kindly help me with this
evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answers
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answers
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
Which statement is true of triangles P and Q? Triangle P has side lengths of 6, 8, 10 and angle measures of 53.1 degrees, 90 degrees, 36.9 degrees. Triangle Q has side lengths of 18, 24, 30 and angle measures of 53.1 degrees, 90 degrees, 36.9 degrees.
Answers
Answer:
Triangle P and Triangle Q are mathematically similar shapes (?).
Step-by-step explanation:
Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.
After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.
I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?
If you need to show your working out, here it is:
18 ÷ 6 = 3
24 ÷ 8 = 3
30 ÷ 10 = 3
All the angles are the same.
This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.
*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!
Hope this helped anyway!
Bluey :)
Answer:
It's c
Step-by-step explanation:
already did this
Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)
Answers
Answer:
q .no d
Step-by-step explanation:
64p^3+125
4p^3+ 5^3
(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)
(4p+5) (16p- 20p+ 25)
Answer:
The answer is
(4p + 5)( 16p² - 20p + 25)Step-by-step explanation:
64p³ + 125
Write the number in exponential form of 3
That's
4³p³ + 5³
Multiply the terms
That's
(4p)³ + 5³
Using the formula
a³ + b³ = ( a + b)(a² - ab + b²)Factor the expression
That's
( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]
Solve the terms in the bracket
We have the final answer as
(4p + 5)( 16p² - 20p + 25)Hope this helps you
Please Help the question is below!!!
Answers
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
Point Q is located at (-4, 6). Point R is located at (8, 6) What is the distance from point Q to point R?
Answers
Answer:
12 units
Step-by-step explanation:
Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change. Thus, the distance between the two points is merely the horizontal distance, 12 units.
Aja has $30 to spend on a new backpack for the upcoming school year. She goes to Target, where all students receive a 15% discount. Aja finds a backpack at target that comes to $29.50 plus 6% sales tax. Does Aja have enough money? By how much or how little? (Add the sales tax to the cost before you take away the discount)
Answers
Answer:
Yes she has enough money. She would have $3.42 left over.
Suppose Tom has 18 coins totaling $3.00. If he has only dimes and quarters how many of each type does he have
Answers
Answer:
8 dimes and 10 quarters
Step-by-step explanation:
Answer:
8 quarters and 10 dimes
Step-by-step explanation:
8 quarters = $2 + 10 dimes = $1 = 18 coins and $3
Solve 15 + a = 31 for a
Answers
Answer:
a = 16
Step-by-step explanation:
To solve your question all you have to do is subtract 15 on both sides so,
15 - 15 + a = 31 - 15
Which will give you,
15 - 15 = 0
31 - 15 = 16
So,
a = 16
Hope this helps!!
Answer:
16Step-by-step explanation:
[tex]15 + a = 31[/tex]
Move constant to R.H.S and change its sign
[tex]a = 31 - 15[/tex]
Subtract the numbers
[tex]a = 16[/tex]
Hope this helps..
Best regards!!
Please help and explain!! I really don't get this
Answers
1. (f(3)-f(1))/(3-1)= (0-(-2))/2= 1, so D.
2. Same concept; (8-4)/(3-1)=2, so A.
3. Again, (39-(-1))/5= 8, B.
If you're good at trigonometry please help me with 10 a and b and show full working out ty ;)
Answers
Answer:gjcnlfjdk
Step-by-step explanation:
A lion can eat a sheep in 2 hours, a wolf can eat a sheep in 3 hours, and a dog can eat the sheep in 6 hours. How long would it take a lion, a wolf, and a dog all together to eat the poor sheep?
Answers
Answer:
1 hour
Step-by-step explanation:
The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.
The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.
The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.
Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.
So working together, it will take them 1 hour to eat 1 sheep.
Answer:
1 hour
Step-by-step explanation:
1/2 + 1/3 + 1/6 = 1
Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 38 inches of wire cost?
Answers
Answer:
114
Step-by-step explanation:
if,
24inches=72cents
38inches=?
we cross multiplication,
38times72=2736 divide with 24=114
The answer is114
Answer:
114............
Step-by-step explanation:
The slope is the rate of change for temperature. If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive. If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative. What is the slope of your equation?
Answers
Answer:
add pic
Step-by-step explanation:
Answer:
m=6.5
Step-by-step explanation:
thats what you type in
Which calculation can be used to find the value of p in the equation p3 = 8?
Answers
Answer:
[tex]\boxed{p=\sqrt[3]{8}}[/tex]
Step-by-step explanation:
p³ = 8
Take the cube root on both sides.
[tex]\sqrt[3]{p^3 } =\sqrt[3]{8}[/tex]
[tex]p=\sqrt[3]{8}[/tex]
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
[tex]p^3 = 8[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{p^3} = \sqrt[3]{8}[/tex]
=> p = [tex]\sqrt[3]{8}[/tex]