Answer:
3x+4
Step-by-step explanation:
3 ft every second is the rate of change or the slope. 4 ft above the ground is the y-intercept.
Answer:
y=3x+4
Step-by-step explanation:
3x is 3 feet multiplied by however many seconds
4 is the additional 4 feet that the balloon had started at
What is the slope of a line that passes
through the points (-1, 1) and (1, -15)?
Answer:
-8
Step-by-step explanation:
y2 - y1 / x2 - x1
-15 - 1 / 1 - (-1)
= -16 / 2
= -8
I can't think of any right answer?
Jason went swimming. He dives 1/7 of the distance from the diving board to the end of the swimming pool. Then, he swims 4/5 of the distance from the diving board to the end of the swimming pool. He estimated that he covered about 7/12of the distance from the diving board to the end of the swimming pool. Is Jason's estimate reasonable?
Answer:
no
Step-by-step explanation:
Total distance he could have swam from the diving board to the end of the swimming pool. = 1 - 1/7 = 6/7
If he swam 4/5 of it, total distance swam = 6/7 x 4/5 = 24/35
total distance covered = 1/7 + 24 /35 = 29/35
) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form
Answer:
[tex]y= (x -4)^2 - 1[/tex]
[tex]Vertex = (4,-1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 6x+13[/tex]
Required
7 units left and 5 units down
First, we have: [7 units left]
The rule is:
[tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]
Next, we have: [5 units down]
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]
[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]
Rewrite as:
[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]
Expand
[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]
Collect like terms
[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]
[tex]y = x^2 -8x +15[/tex]
To write in vertex form, we have
Subtract 15 from both sides
[tex]y -15= x^2 -8x[/tex]
Divide (-8) by 2; Add the square to both sides
[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]
[tex]y -15+ 16= x^2 -8x + 16[/tex]
[tex]y +1= x^2 -8x + 16[/tex]
Expand
[tex]y +1= x^2 -4x - 4x + 16[/tex]
Factorize
[tex]y +1= x(x -4) -4(x - 4)[/tex]
Factor out x - 4
[tex]y +1= (x -4)(x - 4)[/tex]
Rewrite as:
[tex]y +1= (x -4)^2[/tex]
Make y the subject
[tex]y= (x -4)^2 - 1[/tex]
The vertex is:
[tex]Vertex = (4,-1)[/tex]
Which number is the numerator in the fraction 1/2
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
[tex]\frac{Numerator}{Denominator}[/tex]
Answer:
The numerator is 1.
Step-by-step explanation:
The numerator is the number above the fraction bar; the denominator is below.
[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]
Problems 1-2, which symbol should be used to make the values true; > or
Answer:
1. <
2. <
Step-by-step explanation:
Have a good day :)
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
(-0, -21)
(-00,-21]
[-21, +00)
(21, +00)
Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
Five hats and three scarves cost $99. While three hats and five scarves cost
$85. Find the cost of one hat.
Answer:
x=15, y=8
15 hats and 8 scarves
Step-by-step explanation:
hats=x
scarves=y
5x+3y=99
3x+5y=85
plz help!! ty!!! :))
Answer:
19/18
Step-by-step explanation:
ii put it inna calculator
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find mZF
(b) Find AB
с
D
60°
4
60
100
60°
m 2F = 0
AB = 0
Continue
© 2021M
Answer:
40
4
Step-by-step explanation:
a.) because the sides are the same their angles must be too
let x be the angle
100+x+x=180
x=40
b.) because the angles are all the same their sides must be too
4
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
It took _ $20 bills.
Factor 3x^2c^2 +2xc^2 -1c^2
Answer:
Factor 3x2c2+2xc2−1c2
3c2x2+2c2x−c2
=c2(3x−1)(x+1)
Answer:
c2(3x−1)(x+1)
Write the equation of the line with slope -7/8 and y-intercept of -4/5
Answer:
y= -7/8 - 4/5
Step-by-step explanation:
y=mx+b
y= -7/8 + y intercept (b)
so y= -7/8 - 4/5
Consider the figure below.
Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?
A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD
Answer:
A: FG = ½GC
Step-by-step explanation:
Since AD, BC and CD are medians concurrent at G, it means G is the centroid.
Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.
Also,that the median touches the side of the triangle at their midpoints.
Thus,by inspection, we can say that;
GD = ⅓AD
GC/FG = 2/1
Thus, GC = 2FG and FG = ½GC
BG = ⅔BE
Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.
What is the value of a ? (Round your answer to the nearest degree .)
Answer:
a = 32.28°
Step-by-step explanation:
In the given right triangle,
Opposite side = 12
Adjacent side = 19
By applying tangent rule in the given triangle,
tan(a°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(a°) = [tex]\frac{12}{19}[/tex]
a = [tex]\text{tan}^{-1}(\frac{12}{19})[/tex]
a = 32.28°
How did my teacher get 70?- like I don’t understand
Answer:
Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.
Answer:
70
Step-by-step explanation:
180°-40°=140°
140°/2
=70
Plz help me thank you
Answer:
There are 5 shifts per day
Step-by-step explanation:
7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5
7.5/1.5= 5
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
The label for area will always be the units
(feet, centimeters, inches, etc) squared.
Which labels below represent units
squared? Choose all that apply!
cm
mm2
in2
be
mi
ft2
If
y
=
9
, evaluate the following expression:
4
y
+
10
Answer: 46
Step-by-step explanation:
4(9)+10
36+10
46
Answer:
46
Step-by-step explanation:
4y + 10
4(9) + 10
36 + 10
46
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Mila grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 42 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
3x+3y=36 X=y+2 Solve the system of equations
Step-by-step explanation:
I don't know
if this is what. You were trying to look for
What is v29?
Place a dot on the number line at the best approximation.
2.
3
4
5
6
Answer:
Please read explanations
Step-by-step explanation:
By direct calculations, we know that the nearest perfect square to 29 is 25
The next is 36;
Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers
So, we can conclude that the square root is between 5 and 6
For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4
so, we have the dot at the next 4 small lines after the number 5
24 in
10 in
What is the length of the hypotenuse?
C=
inches
Answer: 26
Step-by-step explanation:
WILL GIVE BRAINLIEST *NO LINKS*
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
20. Find the area of the shape below.
EI = 18 centimeters
KT 12 centimeters
Round your answer to the nearest centimeter.
Answer:
Step-by-step explanation:
please help:) see pic attached
Answer:
a. 7
b. 6
c. 5.2
d. 7
Step-by-step explanation:
a: The mode is the number that occurs the most. 7 occurs the most in the set.
B. I rearrange d the numbers in numerical order and then found the middle (where both sides surrounding the number are the same amount of numbers. This was 5 and 7 so to find the mean I added 5+7 and divided it by two to get the in between, 6!
c. I added all of the values and then divided them by the amount of total values in the data set.
so I did 1 + 2 +3+4+5+7+7+7+8+8 = 52
52/10 = 5.2
d. range is the greatest value by the least value. So I did 8 - 1 to get 7!
Find the measure of the arc indicated.
C
33°
B
?
D
124
Answer:
C
33
Step-by-step explanation:
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5