given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
680 in^2
Step-by-step explanation: (find the surface area)
2(8 x 15 x 1/2) = 120
8 x 14 = 112
17 x 14 = 238
15 x 14 = 210
Answer:
This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest
Step-by-step explanation:
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?
Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.
AWNSERS:$10.50
Answer:
Step-by-step explanation: 39.90 x 3.8 = 151.62
Find the percent change. 150 pounds to 135 pounds.
Answer:
-10%
Step-by-step explanation:
precent change = 135 - 150
(divide both sides by 150)
precent change = -0.1
(multiply both sides by 100 so change to precent)
precent change = -10%
Answer:
10%
Step-by-step explanation:
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell
Answer:
Step-by-step explanation:
S and L are the number of small cups and large cups, respectively.
S + L = 150
L = 150 - S
1.25S + 2.50L = 265
1.25S + 2.50(150-S) = 265
1.25S - 2.50S + 375 = 265
S = 88
L = 150-S = 62
Someone help with the second question
Pleaseeeee
Answer:
Answer shown above.
Have a good day
plz help me with this question
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
Which measure describes how much a sample mean varies when different samples are chosen?
A.
sample mean
B.
confidence interval
C.
standard error of the mean
D.
population mean
Answer: The answer is B
please helpp don’t know how to solve
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
Please give me the correct answer.Only answer if you're very good at math.
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
Round the number 78 to the nearest tenth
61
80
16
Answer:
The answer is 80
Step-by-step explanation:
78 is closer to 80
Answer:
the answer is 80
Step-by-step explanation:
it will be 80 because 78 is closest to 8
I dont know how to do this pls help me
x = 36 Answer
By Pythagoras Theorem
I need help pls thank you
Blah blah
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
A savings account increases from $300 to $309. What is the percent increase of the savings account?
Answer:
9 percent
Step-by-step explanation:
Answer:
3%
Step-by-step explanation:
1st Method: Increase Formula = (Last value-first value)/(first value)
Increase = (309-300)/300 = 9/300 = 3/100
= 0.03 or 3%
2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%
Find the measure of the indicated angle. Round to the nearest degree.
21
33
Answer:
The angle is 50 degrees
Step-by-step explanation:
Sine = Opposite / Hypotenuse
Sine ? = 21 / 33
21 / 33 = 0.6363
Cos-1 of 0.6363 is 50.4788
Round to the nearest degree
50.4788 = 50
sine^- 1 21/33 = θ
Answer: Approximately 0.7 or 70 degrees.
Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
Solve 2(x+3)=x-4
What is x?
Answer:
x=-10
Step-by-step explanation:
[tex]2(x+3)=x-4[/tex]
distributive property on left side:
[tex]2x+6=x-4[/tex]
subtract x from both sides
[tex]x+6=-4[/tex]
subtract 6 from both sides
[tex]x=-10[/tex]
Answer:
-10
Step-by-step explanation:
2(x+3)=x-4
Distribute (multiply everything in parenthesis):
2x+6=x-4
Subtract -x from both sides
X+6=-4
Subtract 6 from from both sides:
X=-10
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
ayudaaaa por favor es urgente
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator