Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
3/8÷5/2
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Answer:
3/20
Step-by-step explanation:
Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?
Step-by-step explanation:
step 1. f(x) = 5x^2 + 20x + 20
step 2. f(x) = 5(x^2 + 4x + 4)
step 3. f(x) = 5(x + 2)^2
step 4. 0 = 5(x + 2)^2
step 5. zeros: -2
Find the solution of y = 4x + 2 for x = -5.
A.
(-5, -18)
B.
(-5, 22)
C.
(-18, -5)
Answer: THE ANSWER WOULD BE A. (-5, -18)
Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.
So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)
You can always plot an equation like this to find intercepts
and slope. Each point requires an x and a y. My
way is to make x+=+0 and find y,
then I make y+=+0 and find x
y+=+4x+%2B+2
y+=+4%2A0+%2B+2 solve for y
y+=+2
the point is (0,2)
then,
0+=+4x+%2B+2 solve for x
subtract 2 from both sides
4x+=+-2
x+=+-%281%2F2%29
the point is (-%281%2F2%29,0)
Once you have any two points, you can draw the line by connecting them
When the equation is in the form
y+=+mx+%2B+b
m = slope
b = y-intercept
So, your equation y+=+4x+%2B+2
m+=+4 (slope)
b+=+2 (y-intercept)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (
−
5
,
−
18
)
Equation Form: x
=
−
5
,
y
=
−
18
If using the method of completing the square to solve the quadratic equation
x²-10x – 15 = 0, which number would have to be added to "complete the
square"?
Answer:
For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.
Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:
(x + y)2 = x2 + 2xy + y2 (Square of a sum)
(x − y)2 = x2 − 2xy + y2 (Square of a difference)
To find the roots of a quadratic equation in the form:
\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0,
follow these steps:
(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).
(ii) Rewrite the equation with the constant term on the right side.
(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.
(iv) Write the left side as a square and simplify the right side.
(v) Equate and solve.
Example 1
Find the roots of x2 + 10x − 4 = 0 using completing the square method.
Answer
Example 2
Solve 4x2 + x = 3 by completing the square.
Answer
Exercises
Solve the following quadratic equations by completing the square
Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s
2
+5s=3Answer
Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x
2
=3−4xAnswer
Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v
2
−6v−2=0Answer
Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0Answer
1. Solving Quadratic Equations by Factoring
3. The Quadratic Formula
PLSSSS HELP IM BEGGING YOU PLSSSS
If the cocoa to water ratio for a hot chocolate recipe is 1 tablespoon cocoa to 1⁄4 cup water, how much cocoa do you need if you use 1.5 cups of water?
The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth.
Answer:
[see below]
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
'c' will be the hypotenuse.
The hypotenuse is 15 cm. One of the legs is 5 cm.
[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]
14.1421356237 ≈ 14.1
The other leg should be about 14.1 cm.
Hope this helps.
The length of the other leg is 14.14 cm rounded to two decimal places.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.
We know,
Hypotenuse² = Base² + Adjacent².
Therefore,
15² = 5² + Adjacent².
Adjacent = √(225 - 25).
Adjacent = √200.
Adjacent = 14.14.
learn more about Pythagoras's theorem here :
https://brainly.com/question/10174253
#SPJ2
Please help me with this !!
Answer:
akismsksksialoalqoq kskw! sola skkss
Step-by-step explanation:
smksmskkwow!skkw
Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.
Answer:
A. Andres, Samuel, Laura y Valeria.
Step-by-step explanation:
The height of Andres is greater than all other students. Andres has height of 4.2feet. Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
i cant figure the answer out can u help me (x+6)(3x-8)
Answer:
3x² + 10x - 48
Step-by-step explanation:
Given
(x + 6)(3x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(3x - 8) + 6(3x - 8) ← distribute both parenthesis
= 3x² - 8x + 18x - 48 ← collect like terms
= 3x² + 10x - 48
You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?
Answer:
6 Tables
Step-by-step explanation:
100 = 10x + 40
60 = 10x
6 = x
good luck, hope this helps :)
6 tables
100-40=60
each table = 10
60 divided by 10=6
6w= 12+6w divided by 2
Answer:
12w=12 divided by 2
12w=6
=2
Step-by-step explanation:
Which of the following descriptions is TRUE regarding linear and exponential functions?
There is no difference between a linear function and an exponential function.
Linear functions cross the y-axis above exponential functions.
Linear functions slope down, while exponential functions slope up.
Linear functions have a constant slope, while exponential functions start flat and get steeper.
Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper
Step-by-step explanation: I just took the quiz so I know it’s right. I hope this helps :)
Answer:
Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper
Step-by-step explanation:
I took the test
I need help with this
9514 1404 393
Answer:
perimeter: 20 unitsarea: 27.5 square unitsStep-by-step explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
__
The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
x = 5y - 6 This is just the first sentence written as an equation.
x + y = 60 This is just the second sentence written as an equation.
5y - 6 + y = 60 Substitute x for what you know it is equal to
6y - 6 = 60 Collect like terms
6y = 66 Add 6 to each side
y = 11 Divide each side by 6
x = 5 × 11 - 6 Substitute y for what you know it is
x = 55 - 6 Simplify by working out 5 × 11 = 55
x = 49 Subtract 6 from 55 to get 49
En un almacén de dimensiones 5m de largo ,3m de ancho y 2m de alto queremos almacenar cajas de dimensiones 10 dm de largo 6dm de ancho y 4 dm de alto ¿cuántas cajas podremos almacenar?
Answer:
how do you translate
Step-by-step explanation:
Can someone please help me with this I will give brainliest
Answer:
Step-by-step explanation:
2(2x +4) - 2x = x + 18
4x +8 -2x = x +18
2x -x = 18-8
X = 10
Put the value of x in both side
Left side *+*+*+*+*+
2 ( 2*10+4)-2*10
48-20 = 28
Right side +*+*+*+*+*
X + 18
10+ 18 = 28
Mark it as Brainlist. Follow me for more answer
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
Sofia made 10% of her free throws over the season. If she shot 160 free throws, how many did she make?
Answer:
16
Step-by-step explanation:
160 * 10% = 16
160 * 0.1 = 16
What is the quotient of 3/7 and 14?
Answer:
Answer down below
Step-by-step explanation:
If its 3/7 divided by 14 it is 3/98
If its 14 divided by 3/7 it is 98/3
Hope this helps
2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women
Answer:
15/28 are women
Step-by-step explanation:
2/7 + 1/4 + x = 100%
2/7+1/4= 15/28
9514 1404 393
Answer:
13/28
Step-by-step explanation:
The fraction that are women is found by subtracting the given fractions from 1.
1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28
The fraction that are women is 13/28.
help meee plssssssss
Answer:
A) Triangle PQR
Step-by-step explanation:
This is the correct triangle because it has the exact same measurements as Triangle ABC. Angles A and P are the same angle on the triangles and they have the same measure (70). Angles C and R are the same angle on the triangles and they have the same measure (75). To solve for Angle C in Triangle ABC though, add angles 70 + 35 together to get 105. A triangle has a total measure of 180, so subtract 180 - 105 to get 75.
Hope it helps!
Please answer this as soon as you can I really need this done
(3)
23
-1
2
0
d
2
e
4.
f
d =
e-
f=
Answer:
Step-by-step explanation:
this is the formula using a calculator hit 2nd then x^2 and the number you want then enterCan someone help me please
Answer:
8(n/4)
Step-by-step explanation:
I NEED HELP PLEASE ASAP, It's due soon.
-12 + 2t = - 14
Solve for t
Answer:
-1
Step-by-step explanation:
-12 + 2t = -14
12 + -12 + 2t = -14 + 12
2t = -2
2t/2 = -2/2
t = -1
OOPS my submitted answer was wrong.
Submitting this is so you can give other person points! :]
if c% of a number is (a+b) what is the number
Answer:(a+b)/c ×100
Step-by-step explanation:
Let the number be "x"
According to the question,
X×C% = a+b
>> X × C/100 = a+b
So, x =(a+b)/c × 100