Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
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
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is 20 units, write a pair of linear equations to model the above situation, assuming the length to be l units and the breadth to be b units.
Answer:
L=7 units and B=3 units
Step-by-step explanation:
L=B+4 ... Equation 1
P = 20
P=2(B+L)... Equation 2
20=2(B+B+4)... Substituting equation 1 to equation 2
20=2(2B+4)
20=4B+8
20-8=4B
12=4B
12/4=4B/4
B=3... Solve for B
L=B+4
L=3+4
L=7... Solve for L
what is the linear equation for y = 2x+1.
Answer:
y= mx+ c is the linear equation for y= 2 x+1
Choose the congruence theorem that you would use to prove the triangles congruent
Answer:
It would be the HL theorum.
Step-by-step explanation:
The answer would be the HL theorum by just considering the name. "HL" stands for Hypotenuse-leg. The problem tells you that both triangles share the same length of their hypotenuse (The Hypotenuse is the line with one dash in it, or the one opposite of the 90 degree angle) and one of the legs (The legs are the lines that connect to make the 90 degree angle). This makes the triangle congruent because if 2 sides of a triangle are the same it means that the third one is congruent as well.
The U.S. swim team won 13 gold medals in a recent competition against two other countries.Of the total 60 medals awarded, there were 20 each of bronze, silver, and gold. Spain won 5gold medals. France won one-third of all the medals and had an equal number of silver andbronze medals. How many silver and bronze medals did France win?
The number of silver and bronze medals that France won are 9 silver and bronze medals.
Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.
Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:
= 20 - (13 + 5)
= 20 - 18
= 2 gold medals
France won 2 gold medals.
Since France won one-third of all the medals, the number of medals won by France will be:
= 1/3 × 60
= 20 medals
Since France won 2 golds medals, then the number of silver and bronze will be:
= 20 - 2
= 18 silver and bronze medals.
Since France won equal number of silver and bronze medals. This will be:
= 18/2
= 9 silver and bronze medals.
Read related link on:
https://brainly.com/question/19972449
38. Which equation represents the data in
the table?
Answer:
C. y = 2x -4
Step-by-step explanation:
We can use the points (0, -4) and (2, 0).
y = mx + b (m is slope, b is y-intercept)
m = delta y / delta x
m = 4 / 2
m = 2
y = 2x + b
We can plug in (2, 0):
0 = 4 + b
b = -4
y = 2x - 4
Answer:
C. y = 2x - 4
Step-by-step explanation:
In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.
Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.
0=4+b
-4 -4
-4=b
The equation is now. y=2x-4.
Maddie guessed that there were
1,905 candies in the jar.
What is the value of the 9?
Answer:
hundreths the 9 represents 900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
1,905
Expand the number
1000 + 900 + 5
900 is the value of the 9
This is my question. These are the options below, does anyone know the simplest form?
Answer:
B. [tex]2ab^5\sqrt{2ab}[/tex]
Step-by-step explanation:
To simplify, first, simplify the integers. The integers include the number 8. To simplify 8, find out what is the largest perfect square that is a factor of 8. In this case, that is 4. Then, divide 8 by that number. This equals [tex]\sqrt{4} *\sqrt{2}[/tex]. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is [tex]2\sqrt{2a^3b^11}[/tex].
Next, simplify the exponents. To simplify exponents under a radical divide the exponent by the root. For example, 3 divided by 2 is 1 with a remainder of 1. So, take the answer out from under the radical and then leave the remainder in the radical. This looks like[tex]\sqrt{a^3} = a\sqrt{a}[/tex]. Then, do this for the other variable, [tex]\sqrt{b^11} = b^5\sqrt{b}[/tex]. Finally, put everything for the final answer, [tex]2ab^5\sqrt{2ab}[/tex].
Find the measure of FG.
Answer:
8
Step-by-step explanation:
By power of a point, (x-2)(x+13) = (x-3)(x+16). Solving, we find that x=11, so FG= 11-3 = 8
The value of r represents the distance from a point to the pole when plotting
that point in polar coordinates.
A. True
B. False
To stitch a pant 1 m 40 cm cloth is needed. Out of 35 m cloth, how many pants
can be stitched and how much cloth will remain?
please show me the steps to solve this
2n^2 = -144
Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]
Step-by-step explanation:
[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]
[tex]\\ \sf\longmapsto 2n^2=-144[/tex]
[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]
[tex]\\ \sf\longmapsto n^2=-72[/tex]
[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]
[tex]\\ \sf\longmapsto n=8.4i[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the upper half of the data set is the _____________.
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile
Answer:
the answer is A
I think so
If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of x.
Answer:
9 =x
Step-by-step explanation:
A bisected angle means that the two sides are now equal
JKM = LKM
and each of these angles are 1/2 of the original angle JKL
1/2 JKL = MKL
1/2 ( 92) = 5x+1
46 = 5x+1
Subtract 1 from each side
46-1 = 5x+1-1
45 = 5x
Divide each side by 5
45/5 = 5x/5
9 =x
If the angles of a pentagon are x 2x 3x 4x 5x .Find the value of X
Mark Brainliest if correct:
x = 36
Step-by-step explanation:
x + 2x + 3x + 4x + 5x = 540 (Sum of interior angles in pentagon)
15x = 540
x = 36
Which of the binomials below is a factor of this trinomial? x² + 2x - 63 O A.X-3 OB. X+3 O C. X-9 O D. X + 9
Answer:
D. X + 9
Step-by-step explanation:
x² + 2x - 63
What 2 numbers multiply to -63 and add to 2
9 * -7 = -63
9+-7 = 2
(x+9)(x-7)
What is the measure of m?
5
15
E
n
m = [?]
====================================================
Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
----------
Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10
One day, 45 frogs were captured from a pond, marked and then returned to the pond. The next day, 40 frogs were observed in the pond, of which 10 had been marked the previous day. Assuming the marked frogs are equally distributed among all the frogs in the pond, what is the best estimate of how many frogs live in the pond
Answer:
45
Step-by-step explanation:
estimate
Find C to two decimal places and find the measurement of angle be use your calculator
Let's solve
P=8B=5Using Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]
[tex]\\ \sf\longmapsto c^2=64+25[/tex]
[tex]\\ \sf\longmapsto c^2=89[/tex]
[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]
[tex]\\ \sf\longmapsto c\approx 9.22[/tex]
answer choices:
a. 53%
B. 18%
C. 50%
D. 47%
Answer:
D. 47%
Step-by-step explanation:
divide the number of sophomores by the total number of students
180/387=0.46512
then multiply by 100 to get the percentage: 46.512 or 47%
Answer:
D. 47%
Step-by-step explanation:
To find the probability that a student in the survey is a sophomore, we need to find what percentage of the total population are sophomores.
180 sophomores
387 people
180/387 = 0.465
0.465 ⇒ 46.5%
Round to the nearest percent.
46.5% ⇒ 47%
D. 47%
Hope this helps!
Simplify
1)a³b⁴/ ab³
2)2 (x³ )²
3)3x*2x³ y²
Answer:
1) a³b⁴/ ab³ = a²b
2)2 (x³ )² = 2x^6
3)3x*2x³ y² = 6x⁴y²
PLEASE HELP ASAP
I WILL MARK BRAINLIEST
Answer:
Estimated 120 students
Step-by-step explanation:
Hi there!
The survey established that 3 out of the 75 students did not have social media accounts.
[tex]\displaystyle \frac{3}{75}[/tex]
Let [tex]x[/tex] be equal to the number of students in the entire school who does not have social media accounts.
[tex]\displaystyle\frac{x}{3000}[/tex]
Create a proportion:
[tex]\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}[/tex]
Multiply both sides by 3000 to isolate [tex]x[/tex]:
[tex]\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x[/tex]
Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.
I hope this helps!
plz help me solving this question
Answer:
Step-by-step explanation:
3) Surface area of cube = 6a² where a is side of the cube.
a) a = 6 cm
Surface area of cube = 6 * 6*6 = 216 cm²
b) a = 4.5 cm
Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²
4) Area of cuboid = A = 2(lb + bh + hl)
a) l = 10 cm ; h = 6 cm ; A = 376 cm²
A = 376
2(lb + bh + hl) = 376
2(10b + 6b + 60) = 376
2*( 16b + 60) = 376
2*16b + 2*60 = 376
32b + 120 = 376
32b = 376 - 120
32b = 256
b = 256 / 32
b = 8 cm
5) Surface area of cube = 150 cm²
6a² = 150
Divide both sides by 6
a² = 150/6
a² = 25 = 5*5
a = 5 cm
6) l = 15 cm ; b = 12 cm ; h = 10cm
Lidless. so area of top portion is not included
Surface area of lidless cuboid = 2(hb + hl) + lb
= 2*(10*12 + 10*15) + (15*12)
= 2*(120 + 150) + 180
= 2* 270 + 180
= 540 + 180
= 720 cm²
Step-by-step explanation:
Q5:Find the length of each side of the cube whose Total surface area are given below:
(B)2400cm^2
Solution:
T.S.A= 6a^2 [ we have to find a]
2400=6a^2
2400/6=a^2
400=a^2
a=squareroot of 400
=20
So, 20cm is the length of a cube.
2400meters = kilometers
Answer:
2.4.....................
Given equation x-y=2. Find x and y.
(c) calculate the area of a 2D parallelogram 2.1 3.1
Rewrite in simplest radical form the problem in the image below. Show and explain each step. Thank you for your time and help.
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{x^{\frac{5}{6}} }{x^{\frac{1}{6}} } \\\\=x^{\frac{5}{6} -\frac{1}{6} }\\\\=x^{\frac{4}{6} }\\\\=x^{\frac{2}{3} }\\\\=\sqrt[3]{x^2}[/tex]
Hi there!
Look the picture for your answer.
Hope it helps!
how prove the following
cos²(120°-A) + cos²A + cos²(120°+A)= 3/2
Answer:
Sorry if it is not clear enough
sorry for the really bad quality!!
Answer:
B
Step-by-step explanation:
f(x) = x+5 when x>0. f(5)=10
Alonso overdrew his bank account and his account balance showed -$50. He spent an
additional $37 going out to the movies with friends. Write an expression and draw a line
number to determine Alfonso's current bank account balance.
Answer:
-$87
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
option A
Step-by-step explanation:
Note:when there is an open circle, that means Less than or equal to.
if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to
