Answer:
The equation of the parabola
( y +2 )² = 16 (x-2)
Step-by-step explanation:
Step(i):-
Given the focus of the Parabola ( 6, -2 )
we know that the Focus of the Parabola
( h + a , k ) = ( 6 , -2 )
Comparing
h + a = 6 ...(i)
and k = -2
Given directrix of the parabola
x = -2
The directrix of the parabola x = h - a = -2
h - a = -2 ...(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 6 -2
2 h = 4
⇒ h = 2
Substitute 'h' = 2 in equation (i) , we get
h + a = 6
2 + a = 6
a = 6 -2 =4
Step(ii):-
The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4
[tex](y-k)^{2} = 4a ( x-h)[/tex]
( y - (-2))² = 4 (4) ( x -2)
Final answer:-
The equation of the parabola
[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]
( y +2 )² = 16 (x-2)
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
What is the midpoint of the line segment with the equation y=12x+3 between x=−4 and x=8?
(6,6)
(2,−2)
(2,4)
(2,2)
Answer:
2,4 ((((((((((((((((((((
Is this equation proportional? why?
y = 3x + 2x
Answer:
5x
Step-by-step explanation:
Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?
Answer:
14 and 1/4
Step-by-step explanation:
So the equation would be-
6 x 2 and 3/8
I would break this up, so
6 x 2 = 12
6 x 3/8 = 18/8
Simplify
18/8 = 9/4 = 2 and 1/4
12 + 2 and 1/4 = 14 and 1/4
Answer:
14 and 1/4
Step-by-step explanation:
can you please answer this for me :
A
B
C
D
Answer:
17/21
Step-by-step explanation:
Because i had that question and it was 17/21
Point A is located in which quadrant?
On a coordinate plane, point A is at (negative 3, 5).
Answer:
answer is D
the point A is located on quadrant IV
Step-by-step explanation:
hope this helps!
"Five times a number minus seven is equal to the opposite of eleven."
Answer:
- 4/5
Step-by-step explanation:
5X-7 = -11
+7 = -11+7
5X = -4
Divide 5 on both sides
= - 4/5
HELP WHATS THE VALUE OF X RLLY IMPORTANT
Answer:
The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.
Step-by-step explanation:
Answer:
I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(
Step-by-step explanation:
Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C). 401. D) 413. E) 448
Answer:
401
Step-by-step explanation:
Can anyone help me please?
Answer:
A' (-6, 4)
B' (2, 2)
C' (-2, -2)
Step-by-step explanation:
Multiply each number by 2.
Jaylen's family has completed 30% of a trip. They have traveled 33 miles. How far is the
trip?
Use a t-chart, double number line diagram, tape diagram or fraction strategy to help.
Answer:
[tex] \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110[/tex]
Which pairs are like terms in the expression below? Select all that apply.
Žy + } x-0.25 – 6 +(-2)
Ay and { x
and 1
B. žy and
y and -0.2,
C.
1/3 x
and-0.27
D. -0.2y and 2
E. -6 and -2
I need help putting this into simplest form.
Answer:
1/x^2-2x-8
Step-by-step explanation:
HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS
Answer:
1. m<rsv is 42 degrees
2.
Step-by-step explanation:
1.
2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like
(2x+23)+(9x-5)=95 you then solve this which would be
2x+23+9x-5 = 95 - Combine like terms
11x+18=95 Subtract 18 both sides
11x=77 divide by 11
x=7
After this you just put 7 in the equations instead of X and solve it
making angles
simplify. enter the answer in the box. PLEASE I NEED IT ASAP
Answer:
21√7
Step-by-step explanation:
is the relationship between the side length of a square and the area of a square proportional?
Answer:
Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)
help mee plzz will give brainliest
Answer:
Answer: X=12
Explanation: 180-72= 108. 108/9 = 12
Step-by-step explanation:
Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?
Answer:
C. 36
There are 150 cups total, and 60 blue cups
[tex]150/60=0.4[/tex]
Multiply that by the number of cups he picked up
[tex]0.4*90=36[/tex]
Please help I need it fast
Answer:
J
Step-by-step explanation:
-11=4(-3)+1
-3 =4(-1)+1
1 =4(0)+1
9 =4(2)+1
13=4(3)+1
21=4(5)+1
Please helppppp it’s due soon and I’m already failing my class!!!
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
can someone help me with 26 and 27?
Answer:
B
Step-by-step explanation:
A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.
a) calculate the perimeter of the plot, to the nearest meter.
b) calculate the area of the plot, to the nearest square meter.
Answer:
Perimeter = 271 meters
Step-by-step explanation:
third angle measure would have to be 180 - 122 = 58 degrees
you can use the law of sines:
sin 58° = sin 74°
90 b
.85 = .96
90 b
cross-multiply: .85b = 86.4
b = 102
now do again to find third side:
sin 58° = sin 48°
90 c
.85 = .74
90 c
.85c = 67
c = 79
now you know all 3 sides so add them to get perimeter (79+102+90) = 271
????????i don’t understand
Answer:
to blurry
..............
Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain
Answer: This is not a function
======================================================
Explanation:
If x = 1, then,
x = |y|
1 = |y|
|y| = 1
y = plus/minus 1
y = 1 or y = -1
The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.
Similar situations occur with x = 2 and x = 3.
This means we do not have a function. A function can only be possible if each input leads to exactly one output.
5/7-1/2= show work PLZZZZZZZZZZ HELPPPP
Answer:
3/14
Step-by-step explanation:
We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14
please help me with this! Thank youu
Answer:
y=-3x+2
y = [tex]\frac{1}{5}[/tex]x - 5
Step-by-step explanation:
Question 1
It is given that;
- one of the lines has an equation of; y = -3x-7
- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are parallel
When two lines are parallel, their slope is the same, hence the equations of the given line would look like this;
y = -3x + 2
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
Questions 2
It is given that;
- one of the lines has an equation of y = -5x + 1
- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are perpendicular
When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;
y = [tex]\frac{1}{5}[/tex]x - 5
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
there 2 strawberry ice cream
3 blueberry Ice cream
6 chocolate ice cream
4 ice pops
Select the three different ways to write a ratio comparing the number of Ice Pops to chocolate cone orders Write all ratios in simplest form
A 2 to 3
B 6 to 4
C 2 to 6
D 6 to 3
E 3:2
F 2:3
G 2:6
H 2/3
l 2/6
J 2/3
Answer:
A,F,J
Step-by-step explanation:
they are in simplified form and in the correct order
Please help this is a grade
Answer:
I don't see the answer to the problem
What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS
Answer:
AAS
Step-by-step explanation:
You can see that two angles and one side are congruent.
Select two ratios that are equivalent to 2:92:92, colon, 9.
Answer:
The only options equivalent to 2:9 are B and C. A ratio is a comparison between two or more numbers
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation: