Answer:
33
Step-by-step explanation:
Answer:
29c
Step-by-step explanation:
f(x)=x^2+6x+7
g(x)=x+2
find g(f(x))
Answer:
g(x2+6x+7)=x2+6x+9
Step-by-step explanation:
Evaluate g(f(x)) by substituting in the value of f into g
g(2x)=6(2x)−7
Multiply 2 by 6
g(2x)=12x−7
what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?
Answer:
x²+x+12 = 0
Step-by-step explanation:
Area if the wooden frame = ,Length ×Width
A = LW
If the length of wooden frame is 1foot longer than it's width, then;
L = W+1
Given
A = 12ft²
Substitute the derived and given parameters into the formula to have;
P = (W+1)W
12 = (W+1)W
Open the parentheses
12 = W²+W
Subtract 12 from both sides
12-12 = W²+W -12
0 = W²+W-12
Rearrange
W²+W-12 = 0
If W = x
The quadratic equation becomes:
x²+x+12 = 0
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
Name an angle supplementary to /EOD
A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?
Ommited Answer Choices:
A. 4 inches, 4 inches, 4 inches
B. 3 inches, 3 inches, 3 inches
C. 3 inches, 3 inches, 2 inches
D. 2 inches, 2 inches, 3 inches
Answer:
C. 3 inches, 3 inches, 2 inches
Step-by-step explanation:
The ratio of the corresponding lengths of two similar polygons will always be equal.
Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.
Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.
This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.
Thus: 6/3 = 4/2 = 2.
7:x=2:3
What is the answer can not find out
Answer:
10.5 = x
Step-by-step explanation:
7:x = 2:3
can be rewritten as
7/x = 2/3
because, a proportion is the same as a fraction, which is the same as division
so now use cross products to solve the equations
7/x = 2/3
7 * 3 = 2 * x
simplify
21 = 2x
inverse operations
21 = 2x
/2 /2
10.5 = x
guys pls pls help WILL mark brainliest
Answer:
Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x
Step-by-step explanation:
If you look at the y values in the table, they are just the x values but multiplied by -3.
-3 x (-3) = 9
4 x (-3) = -12
6 x (-3) = -18
Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
i need more help
ill give brainiest to first person to answer
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
Twelve Divided by the sum of a number and five
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
4. Write an equation for the table in slope intercept form
Answer:
y=1.6x-5
Step-by-step explanation:
Pls answer and show WORK pls do it right
Answer:
4/6
Step-by-step explanation:
1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!
Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70
T = CB-5, for C
C=
What’s the answer
Answer:
C=t/b + 5/b
Step-by-step explanation:
Please make me Brainliest
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.
Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2 you'd do: -3 x 13 and 2 x 13
Step-by-step explanation:
if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?
Answer:
6,4
Step-by-step explanation:
Can someone help me with these two questions step by step plz
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
Expand & simplify 4(t+2)+6(t-4)
Answer:
10t - 16
Step-by-step explanation:
4(t + 2)+ 6(t - 4)
4t + 8 + 6t -24
10t - 16
Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?
Answer:52 miles per hour
Step-by-step explanation:
5x+8y=6π solve equation for y
Anyone wanna help?please
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given to points to us are :-
( 3 , -6 )( -1 , -8 )( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]
Here ,
x1 = 3 .x2 = -1.y1 = (-6)y2 = (-8).→ Substituting the respective values ,
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
Hence the distance between two points is 4√5u.
Solve the equation for y: -8x + 4y = 20
A)
y-2x5
B)
y = 2x + 5
y = 2x+5
1/3x + 20
D)
y =
Answer:
y=2x+5
Step-by-step explanation:
20 POINTS!!!! Help please
Answer:its c
Step-by-step explanation:
the scale on a map is 1:500000
two towns are 7cm apart on the map
what is the actual distance between the towns in kilometers ?
Answer:
35km
Step-by-step explanation:
1:500000
7:?
(cross multiply)
=3500000cm
1km=100000cm
3500000cm
3500000cm×1km
100000cm
=35km
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
I think it might be C...
2q − q = 18 what does q=
Answer:
18
Step-by-step explanation:
Because -1 q would make it a positive 1q (q) so q=18