Answer:
x10
Step-by-step explanation:
BE=1/2 * CD
x=CB/2
x=20/2
x=10
Write the equation in standard form for the circle with center (-3,3) and radius 3
Answer:
(x+3)^2+(y−3)^2=9
Step-by-step explanation:
The equation for a circle is given by
(x−h)^2+(y−k)^2=r^2 where (h,k) is the center and r is the radius
(x− -3)^2+(y−3)^2=3^2
(x+3)^2+(y−3)^2=9
help me please with these questions
Answer:
17) option b
18) option b
19) option d
Step-by-step explanation:
17)
Cost of 25 burgers = $75
Therefore , cost of 1 burger:
[tex]\frac{75}{25} = 3[/tex]
18)
Area of rectangle = length x breadth
[tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]
19)
14.25
x 6.3
_________
4275
+ 8550
__________
89.775
___________
25p+1t=51
solve for t
Answer:
t = 51 - 25p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
25p + 1t = 51
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 25p on both sides: 1t = 51 - 25pSimplify: t = 51 - 25pOnly answer if you're very good at Math.
What is the minimum value of the function g(x) = x^2 - 6x - 12?
A: -21
B: 3-√21
C: 3
D:3+ √21
Answer:
A: -21
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic function:
[tex]g(x) = x^2 - 6x - 12[/tex]
So [tex]a = 1, b = -6, c = -12[/tex].
Minimum value:
This is the y-value of the vertex. So
[tex]\Delta = b^2-4ac = (-6)^2 - 4(1)(-12) = 36+48 = 84[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{84}{4} = -21[/tex]
The minimum value is -21, and the correct answer is given by option A.
2x[tex]2x^{2} - 14x + 24[/tex]
Solve for x.
2x^2 − 11 = 21
x= or x=
(both x= need to be answered)
Answer:
x = 4 or x= -4
Step-by-step explanation:
2x^2 − 11 = 21
Add 11 to each side
2x^2 − 11+11 = 21+11
2x^2 = 32
Divide by 2
2x^2 /2 = 32/2
x^2 = 16
Take the square root of each side
sqrt(x^2) = sqrt(16)
x = ± 4
x = 4 or x= -4
i am a multiple of 7 and divisible by 4 if i am less than 30 what number am i?
Answer: 28
Step-by-step explanation:
The multiples of 7 that's less than 30 include: 7, 14 , 21 and 28.
From the numbers above,
7 isn't divisible by 4 as it gives a remainder.
14 isn't divisible by 4 as it gives a remainder.
21 isn't divisible by 4 as it gives a remainder.
28 is divisible by 4 without a remainder
Therefore, the correct answer should be 28
The coefficient of x in the expansion of (x + 3)(x - 1) is
It’s either
2
-2
-3
4
Answer:
[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of general admission tickets purchased.
y is the number of reserved tickets purchased.
There were 436 tickets purchased for a major league baseball game.
This means that [tex]x + y = 436[/tex], or also, [tex]x = 436-y[/tex]
The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00.
This means that [tex]6.5x + 8y = 3284[/tex]. Since [tex]x = 436-y[/tex]
[tex]6.5(436-y) + 8y = 3284[/tex]
[tex]1.5y = 450[/tex]
[tex]y = \frac{450}{1.5}[/tex]
[tex]y = 300[/tex]
And:
[tex]x = 436 - y = 436 - 300 = 136[/tex]
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Có 6 quyển sách và 7 quyển vở. Hỏi có bao nhiêu cách chọn
một trong các quyển nói trên?
Answer:
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Step-by-step explanation:
xdddddddudjdjdjdjdjdjsjsjsjsjsjsjsjjsjsjsjsjsjsjsjsjsjsjjs
Evaluate 9x^2y^-2 for x = -3 and y = 2.
324
20 1/4
9(-6)°
1/144
9514 1404 393
Answer:
(b) 20 1/4
Step-by-step explanation:
9(-3)^2(2^-2) = 9(9)(1/4) = 81/4 = 20 1/4
The function h is defined by the following rule h(x)=-5x-3
Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin x = x
Answer:
[tex]x \approx 2.278863[/tex]
Step-by-step explanation:
Required
The positive root of [tex]3\sin(x) = x[/tex]
Equate to 0
[tex]0 = x -3\sin(x)[/tex]
So, we have our function to be:
[tex]h(x) = x -3\sin(x)[/tex]
Differentiate the above function:
[tex]h'(x) = 1 -3\cos(x)[/tex]
Using Newton's method of approximation, we have:
[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]
Plot the graph of [tex]h(x) = x -3\sin(x)[/tex] to get [tex]x_1[/tex] --- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
[tex]x_1 = 2.2[/tex]
So, we have:
[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]
[tex]x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}[/tex]
[tex]x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641[/tex]
The process will be repeated until the digit in the 6th decimal place remains unchanged
[tex]x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654[/tex]
[tex]x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627[/tex]
[tex]x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627[/tex]
Hence:
[tex]x \approx 2.278863[/tex]
Please help!!!! I need this ASAP Help
Answer:
Step-by-step explanation:
If x is -1, then the point on the parabol is (-1,4)
If x is 0, then the point on the parabol is (0,-2)
If x is 1, then the point on the parabol is (1,-6)
PLEASEEEEE HELPPPPP PLEASEEE !!!
Answer: 2
Step-by-step explanation: Rate of change is also defined as slope, so using the rise over run method, you can see that the slope of the line is +2.
Question 13
Find the volume of the prism.
Answer:
[tex]\boxed {\boxed {\sf B. \ 324 \ cm^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is the product of the area of the triangular cross-section (B) and the height (h).
[tex]V= B*h[/tex]First, let's find the area of the triangular cross-section/the end of the triangle. The area of a triangle is:
[tex]B= \frac{1}{2} b*h[/tex]
The base of the triangle base (not the prism) is 6 centimeters and the height is 9 centimeters.
b= 6 cm h= 9 cm[tex]B= \frac{1}{2} (6 \ cm)(9 \ cm)[/tex]
Multiply the numbers in parentheses.
[tex]B= \frac{1}{2}(54 \ cm^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]B= 27 \ cm^2[/tex]
Now we know the area of the cross-section or base is 27 square inches. The height of the prism is 12 centimeters.
B= 27 cm²h= 12 cmSubstitute the values into the volume formula for a triangular prism.
[tex]V= 27 \ cm^2 * 12 \ cm[/tex]
Multiply.
[tex]V= 324 \ cm^3[/tex]
The volume of the prism is 324 cubic centimeters and choice B is correct.
The volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
The volume of a triangular prism is determined by multiplying the area of the triangular cross-section (B) by the height (h). In this case, the base (b) of the triangular cross-section is given as 6 centimeters, and the height (h) is given as 9 centimeters.
To find the area of the triangular cross-section (B), we can use the formula for the area of a triangle: B = (1/2) * base * height.
Substituting the values:
B = (1/2) * 6 * 9 = 27 square centimeters.
Next, we multiply the area of the cross-section (B) by the height (h) to find the volume (V) of the prism:
V = B * h = 27 * 12 = 324 cubic centimeters.
Therefore, the volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
To know more about triangular prism:
https://brainly.com/question/27102803
#SPJ6
What is the answer pls I need finals
Answer:
[tex]( - 2,1)[/tex]
Step-by-step explanation:
Hope it is helpful...
I need help with this question.
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A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
At this pace the country will have only 237.6 million acres of forest left in 44 years.
Step-by-step explanation:
Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:
Current amount - (amount lost per year x number of years) = 237.6
586.08 - (7.92 x X) = 237.6
586.08 - 7.92X = 237.6
-7.92X = 237.6 - 586.08
-7.92X = -348.48
X = -348.48 / -7.92
X = 44
Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]
Please help me please
Answer:
1. Paralleogram
2. Trapeziod
3. Square
4. Rhombus
5. Rectangle
6. I don't know
7. Rectangle
8. can't see it
9. Trapeziod
please help me please!!! I'll give brainlest for correct answer
Answer:
why you just don't put the question up
Step-by-step explanation:
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple?
Answer:
The grapefruit is 18% heavier than the apple.
Step-by-step explanation:
Orange defines the 100% in this situation.
We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit (in percentage) will be: 100% + 8% = 108%
And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%
The difference between the two weights is then:
grapefruit - apple
108% - 90% = 18%
So the grapefruit is 18% heavier than the apple.
IN DESPERATE NEED OF HELP! PLEASE ANSWER!! Which of the following represents the synthetic division form of the long division problem below? (x^2+9x-2)÷(x-4)
Answer:its d
Step-by-step explanation:
How to factorise? 5x+10
Answer:
5(x+2)
Step-by-step explanation:
each term, 5x and 10, have only the number 5 in common
factor out the 5 to get:
5(x+2)
Find the midpoint of the segment that has endpoints at
(a+b, a-b) and (a, b).
Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
The price of a technology stock has risen to $9.84 today. Yesterday's price was $9.73. Find the percentage increase. Round your answer to the
nearest tenth of a percent.
Answer:
the answer this number ...