Answer:
vertex = (- 2, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x ← is in standard form
with a = 1, b = 4, c = 0 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into the equation for corresponding value of y
y = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )
-7 2/3 + (-5 1/2) + 8 3/4
Answer:
the answer would be -1339/24
Using the Pythagorean Theorem, find the distance between the points.
Answer:
(5,7,8.6)
Step-by-step explanation:
Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)
Answer:
[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]
Math help please I will give brainlist if correct
Answer:
A=48
B=25
C=44
D=67
im stumped by e srry
Simplify by factorising first
Answer:
x+8
Step-by-step explanation:
Simplify the numerator
list the factors of 16
16: 1, 2, 4, 8, 16
look for two factors that add up to the b value
in this case it is 18
by looking at the factors 2 and 8 add up 10
so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]
Split the trinomial into two separate binomials each having one of the factors that add up to 10
So it should be [tex]x^{2} +2x and 8x+16[/tex]
Factor both binomials
you can factor an x from the first one
Then it is x(x+2)
Factor an 8 from the second one
8(x+2)
So it should be [tex]x(x+2) 8(x+2)[/tex]
This can rewritten as (x+8)(x+2)
So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]
simplify it by canceling out the two (x+2)'s
this is because (x+2)/(x+2) is 1
Finally you get x+8
16. Solve y2 - 17x + 30 = 0 by factoring.
Answer:
x = 15 , x = 2
Step-by-step explanation:
[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]
x = 15 , x = 2
Which of the following segments is a diameter of O?
Answer:
AB
Step-by-step explanation:
The diameter has to pass through the center of the circle and tough the outside of the circle on both ends
The diameters are
DE and AB
They can also be written as
ED and BA
Answer:
option A : AB
Step-by-step explanation:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Both AB and DE are diameters.
Therefore, Option A : AB
Which system of equations has infinitely many solutions?
i need help with this problem
Answer:
Step-by-step explanation:
Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:
[tex]tan(20)=\frac{10000}{x}[/tex] and
[tex]x=\frac{10000}{tan20}[/tex] so
x = 27474.77 feet
Which expression is a factor of 21x2 + 13x – 20?
Answer:
B. 7x - 5
Step-by-step explanation:
- If 4x = 4, what is the value of 3y ?
2y
X
A)
3
4
B)
ما در
C)
2
D) 2
Answer:
C
Step-by-step explanation:
[tex] \frac{4x}{2y} = 4[/tex]
Simplify fraction:
[tex] \frac{2x}{y} = 4[/tex]
Divide both sides by 2:
[tex] \frac{x}{y} = 2[/tex]
[tex] \frac{x}{y} = \frac{2}{1} [/tex]
[tex] \frac{y}{x} = \frac{1}{2} [/tex]
[tex] \frac{3y}{x} [/tex]
[tex] = 3( \frac{y}{x} )[/tex]
[tex] = 3( \frac{1}{2} )[/tex]
[tex] = \frac{3}{2} [/tex]
Step-by-step explanation:
everything can be found in the picture
How long would the processing take to develop 1000 negatives if it takes 5 minutes to develop 100 negatives? minutes Type the correct answer, then press Enter.
Answer:
50 minutes
Step-by-step explanation:
First you need to find out how many times 100 will fit into 10
1000/100 = 10
then you need to multiply it by 5, because each 100 negatives takes 5 minutes.
10 * 5 = 50
your answer is 50.
3. Apply what you have learned to answer the following question. Select the correct choice
and explain your reasoning
Which equation has the same number of solutions as 914x + 2) 71588) -
А
C
3(8x 12) 5(
39)
B flor + 9) - / 12x + 8
D
3(180 + 10) = 313x + 2) -
A
О ООО
Answer:
shshghhhsjsjjsjsjs
Step-by-step explanation:
snnsbzhhhshs
These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3
PLEASE HELP IM OVERDUE
Answer:
98 m³
Step-by-step explanation:
For similar shapes
The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.
Applying,
L³/L'³ = V/V'............... Equation 1
Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism
From the question,
Given: L = 5 m, L' = 7 m, V = 50 m³
Substitute these values into equation 1
5²/7² = 50/V'
25/49 = 50/V'
V' = (50×49)/25
V' = 98 m³
Answer: 137.2
Step-by-step explanation:
I'm just making the correct answer an actual answer instead of a comment so it's easier to see
If 50 kg of rice cost Rs 375,how much can be purchased for Rs.525?
Answer:
70kg can be purchased for Rs 525
Step-by-step explanation:
Let the quantity of rice that can be bought with Rs 525 be = x
Rice ( kg) Cost (Rs)
50 375
x 525
[tex]\frac{50}{x} = \frac{375}{525} \\\\x \times 375 = 50 \times 525\\\\375x = 26250\\\\x = \frac{26250}{375} = 70 \ kg[/tex]
Therefore 70kg rice can be purchased for Rs. 525
At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?
Answer: 36%
Step-by-step explanation:
Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:
= $5/4
= $1.25 per box
This week they mark a new price at 5 boxes for $4. The price per box will be:
= $4/5
= $0.8 per box
The percent decrease in the price per box this week will be:
= (1.25 - 0.80)/1.25 × 100
= 0.45/1.25 × 100
= 36%
The Percentage decrease is 36%
Share $600 between Anna and Raman in the ratio 3:7 and 1:4
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
Shares when ratio is 3 : 7
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=
[tex]\frac{3}{10} \times 600 = \$ 180[/tex]
Raman 's share=
[tex]\frac{7}{10} \times 600 = \$ 420[/tex]
Shares when ratio is 1 : 4
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =
[tex]\frac{1}{5} \times 600 = \$ 120[/tex]
Raman's share =
[tex]\frac{4}{5} \times 600 = \$ 480[/tex]
A rectangle has an area of 161.2m2.
One of the sides is 5.2m in length.
Work out the perimeter of the rectangle
Answer:
72.4 m
Step-by-step explanation:
The area of a triangle is
A = l*w
161.2 = 5.2 *w
Divide each side by 5.2
161.2/5.2 = w
31 =w
Now find the perimeter
P =2 (l+w)
P =2 ( 5.2+31)
P =2( 36.2)
P =72.4
A sum of money is shared between 2 friends in the ratio 2 : 3. If the larger
share is $450. What is the total sum shared?
Answer:
$750
Step-by-step explanation:
Larger share = $450
Smaller share : Larger share :: 2 : 3
Smaller share = (larger share x 2) / 3
= (450x2)/3
= 300
Sum= larger share + smaller share
= $450 + $300 = $750
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
can someone pls pls help me?
Answer:
its 30 or 24
Step-by-step explanation:
but its most likely 30
how many eggs are 5 dozen
Answer:
A dozen is 12.
12*5 = 60 eggs
5 dozen eggs are equal to 60 eggs.
A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.
When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.
To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):
5 dozen x 12 eggs/dozen = 60 eggs
Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ6
Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.
Answer:
Step-by-step explanation:
By using the property of similar triangles,
"Corresponding sides of two similar triangles are proportional"
If ΔSMA ~ ΔPOD
[tex]\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}[/tex]
[tex]\frac{6}{10}=\frac{5}{10}=\frac{5}{12}[/tex]
[tex]\frac{3}{5}=\frac{1}{2}=\frac{5}{12}[/tex]
Since, ratios of corresponding sides are not equal,
Therefore, the given triangles are not similar.
Which is the graph of y - 3 = -2/3(x + 6)?
Answer:
Step-by-step explanation:
y - 3 = -2/3(x + 6) Remove the brackets on the right
y - 3 = -2/3x - 2/3 * 6 Simplify the right
y - 3 = -2/3x - 4 Add 4 to both sides
y = - 2/3 x - 1
I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.
PLEASE HELP!! Which variable is most important to the following problem?
Jackie played the first 8 minutes of a basketball game. Layla then replaced
her for the rest of the half. Layla started the second half and was replaced by
Jackie with 9 minutes left in the game. If each half is 16 minutes long, how
long did Jackie play?
A. The number of players who played during the game
B. The number of minutes Layla played in the second half
C. The total number of minutes Jackie played
D. The length of the half
Answer:
Step-by-step explanation:
d
Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.
How many pieces can he cut?
Ignore the answer I put
Answer:
80
Step-by-step explanation:
Given that :
Length of rope = 16 m
Length per Piece of rope to cut = 0.2 m
The number of pieces of rope that can be cut :
Length of rope / length per piece of rope
16 / 0.2
= 80
Hence, 80 pieces of 0.2 m rope will be cut
Worth 10 points please help me
Answer:
(2,1)
Step-by-step explanation:
one half of (4,2) would be (2,1)
easy math, just a little tricky logic
Rearrange the formula to make x the subject.
y = x -5
Answer:
[tex]x=y+5[/tex]
Step-by-step explanation:
[tex]y=x-5[/tex]
[tex]y+5=x[/tex]
[tex]x=y+5[/tex]
I NEED THIS NOW NO LINKS OR ILL REPORT PLZZZ
Answer:
2x + 4
Step-by-step explanation
Answer:
it's B, because 2*x and 2*-6 give 2x-12+16 which is 2x+4
Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1
(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]a-3b+4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: a-3b+4
Step-by-step explanation:
Credits to guy up there