Answers
Answer:
use waymath but type it the other way around
Step-by-step explanation:
Answer:
1) it's a circle, (4x + 12)² + (2y - 2)² = 64
2) it's a circle, (x + 4)² + (y - 3)² = 40
3) it's a parabola, (x + 3)² = -4(y - 1)
Step-by-step explanation:
Equation of a circle: (x - h)² + (y - k)² = r²
factorize the equation:
1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4
=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4
=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=>(4x - (-12))² + (2y - 2)² = 8²
(x - h )² + (y - k)² = r²
Center: (h, k) => (-12, 2)
Radius: √r² => √64 = 8
2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9
=> (x + 4)² + (y - 3)² = 15 + 16 + 9
=> (x + 4)² + (y - 3)² = 40 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=> (x - (-4) )² + (y - 3)² = 40
(x - h )² + (y - k)² = r²
Center: (h, k) => (-4, 3)
Radius: √r² => √40 ≈ 6.32
Equation of a parabola facing down: (x - h)² = 4a(y - k)
3) => x + 6x + 9 = -4y - 5 + 9
=> (x + 3)² = -4y + 4
=> (x + 3)² = -4(y - 1) (equation of the parabola)
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
=> (x - (-3))² = 4 × -1(y - 1)
(x - h )² = 4 × a(y - k)
Vertex: (h, k) => (−3, 1)
Focus: (h, k + a) => (-3, 1 + (-1)) => (−3, 0)
Axis of Symmetry: x = h => x = −3
Directrix: y = k - a => y = 1 - (-1) => y = 2
x | y
−5 | 0
−4 | 3/4
−3 | 1
−2 | 3/4
−1 | 0
(graphs in the pictures below)
Related Questions
If I think of a number halve it and subtract 2 results is 10.write equations and solve it please
Answers
Answer:
24
Step-by-step explanation:
let 'x' = number
x/2 - 2 = 10
add 2 to each side to get:
x/2 = 12
cross-multiply to get:
x = 24
Answer:
The equation is (x/2) - 2 = 10The equation solves to x = 24============================================================
Explanation:
x = the number you think of
x/2 = the result after taking half of that number
(x/2) - 2 = subtract 2 from the previous result
(x/2) - 2 = 10 is the equation to solve
Solving said equation gets us...
(x/2) - 2 = 10
x/2 = 10+2 ... adding 2 to both sides
x/2 = 12
x = 12*2 ..... multiplying both sides by 2
x = 24
Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24
-----------------
Let's check that answer:
x = 24
x/2 = 24/2 = 12 ... result after taking half of x
(x/2) - 2 = (12)-2 = 10 ... result after subtracting two
We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.
------------------
Here's another way to check:
(x/2) - 2 = 10
(24/2) - 2 = 10
(12) - 2 = 10
10 = 10
We end up with the same thing on both sides, so x = 24 is confirmed.
Find the value of x. Round your answer to the nearest tenth.
68°
х
24
The value of x is about ___
Answers
Answer:
9
Step-by-step explanation:
cos(68°)×24= 8.99 which can be rounded to 9
Simplify:
B^4 . B^3
^ = means I’m squaring it.
Answers
Step-by-step explanation:
B⁴×B³B^(4+3)B⁷stay safe healthy and happy...
reduce 50/80 to the simplest terms in fractions
Answers
Answer:
5/8
hope this helps
have a good day :)
Step-by-step explanation:
Greenwood Lake is pictured below on a grid where each square has sides that are 1 mile long.
A lake covers an area slightly more than 4 units.
What is the best estimate of the area of the lake?
6 square miles
9 square miles
14 square miles
16 square miles
Answers
1 sq units would be 1 mile, so 4 units are 4 miles. A little bit more than 4 is 6.
Please help me after this one I have one more
Answers
Answer:
3 2/21
Step-by-step explanation:
used a calculator
if a ball is a sphere with 10 inches, what is the volume in cube inches
Answers
Answer:
Step-by-step explanation:
I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,
[tex]V=\frac{4}{3}\pi(10)^3[/tex] so
V = 1333.33π inches cubed
If the diameter is 10 and the radius is 5:
[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is
V = 166.67π inches cubed
Find the lengths of a square having area 676cm2
Answers
Area = ( lengths )^2
676 = ( lengths )^2
lengths = √676
lengths = 26 cm
What is the area of the figure below?
Use 3.14 for it.
fi6 cm
7 cm
A 42 cm
B 61.2 cm?
C 80.5 cm?
D 118.9 cm?
Answers
Answer:
option B
Step-by-step explanation:
The figure is combination of parallelogram and semi- circle. So,
area = area of parallelogram + area of semi-circle
[tex]Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23 = 61.2cm^2[/tex]
what's the value of x and y?
Answers
Answer:
x = 55
y = 70
Step-by-step explanation:
since it's all sides are equal its an equilateral triangle
each angle of an equilateral triangle is 60°
therefore,
y - 10 = 60 => y = 60 + 10
y = 70
x + 5 = 60 => x = 60 - 5
x = 55
Answer:
x+5=y-10
x-y = -15
y-10+X+5+X+5=180
2x+y =180
x-y+2x+y =180-15
3x.=165
x. =55
2x+y =180
y =180-(110)
y =70
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answers
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
help, please !! you will get 10 points !!
Answers
Answer:
25.5
Step-by-step explanation:
Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.
CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.
2. A guy wire is attached to the top of a radio tower to help support it. The tower
is 72 feet tall and the wire is attached to the ground 50 feet from the midline of
the tower. Find the length of the guy wire to the nearest foot.
Answers
Can anybody help a brother out real quick? Would really appreciate that.
Answers
Which expression represents the area of the square?
A: 4.4
B:2+4
C:2.4
Or C: 4+ 4 help pls?
Answers
Answer:ik i am late but it is 4.4 for the people that need it now
Step-by-step explanation:
Evaluate (2x + 3) + ( x- 5) show answer pls
Answers
Step-by-step explanation:
2x +3 +x-5
3x+3+(-5)
3x +(-2)
x= -2÷3
x=-6
HOPE IT HELPEDThere are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.
Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
Answers
Answer:
Step-by-step explanation:
The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is
x + y = 15
Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is
9x + 12y = 150
Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.
Simplify 7(A-6) need help
Answers
Answer:
7a - 42
Step-by-step explanation:
1st step is to distribute.
7(a-6)
multiply 7 to "a" and -6
7a - 42
Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?
Answers
Answer:
129°
Step-by-step explanation:
Sum of supplementary angles = 180°
One angle = 51°
Other angles = 180° - 51°
= 129°
Plz mark as brainliest!!!!!
hey! i’ll give brainliest help thanks
Answers
Answer:
to one's liking; pleasing: agreeable manners;an agreeable sensation. willing or ready to agree or consent: Are you agreeable to my plans for Saturday i would go for A ore BStep-by-step explanation:
what is the answer to x^{2}-2x=15
Answers
Answer:
Two solutions:
x = 5 and x = -3
Step-by-step explanation:
Simplify:
x^{2} - 2x = 15
-15 -15
x^{2} - 2x -15 = 0
Find what numbers multiplied by eachother equal -15 and also add to -2:
-5 * 3 = -15
-5 + 3 = -2
Rewrite equation and put each expression equal to 0:
(x - 5)(x + 3) = 0
x - 5 = 0 x + 3 = 0
+5 +5 -3 -3
x = 5 x = -3
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
Answers
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.
Answers
Answer:
3rd one
Step-by-step explanation:
i neeed helpppp asappp!!
Answers
Answer:
2+24+5-9+12-4+7+7-23+56+12+78
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answers
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?
Answers
Answer:
I got 45
Step-by-step explanation:
so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.
Answer:
Formula of trapezoid:
B1(base 1) + B2(base 2) x Height(h) x 1/2
Area of Trapezoid:
10(base 1) + 6(base 2) = 16
16 x 5 = 80
80 x 1/2 = 40
Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?
Answers
Answer:
32%
Step-by-step explanation:
Percent means out of 100 so we need the denominator to be 100
8/25 * 4/4 = 32/100
The percent is the numerator since it is now out of 100
32%
Answer: 32%
Step-by-step explanation:
32%
f the relationship between the independent and dependent variables is discovered to be false after another (third) variable is considered, that relationship between the independent and dependent variables is called
Answers
Answer:
Spurious relationship
Step-by-step explanation:
A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
Answers
Answer:
RSVUT IS THE CORRECT ANSWER
I need help. Please someone help. .......................................................................................................
Answers
Answer:
boi its 202 -1
Step-by-step explanation:
eiroiwzjsirgjzßπkgjπøˆß