Answer:
C = <CDB, SAS
You can prove side BD because of the reflexive property (using two of the same sides to prove something) and you are given the other side and the angle. So, since you have a side, angle, and side in that order, you can prove it with SAS.
a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)
On the last math test in Kenzie’s class, 17 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test?
Answer
There is a 68 percent that a student selected a random will score an 80 or higher on the next test.
Explanation
You just need to find the percentage of 17 out of 25, or 17/25.
You can do this by dividing 17 by 25.
17/25 equals 0.68, or 68 percent.
Find the smallest number by which 2250 should be multiplied ,so that the product is a perfect square.
Answer:
10
Step-by-step explanation:
[tex]2250[/tex] = 2x5x5x5x3x3
therefore,2and 5 don't have a pair so , 2x5=10 .
So, the smallest number by which 2250 is 10
What is the length of leg s of the triangle below?
45
4-12
90°
45
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
s = 4 → A
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?
Answer:
2 sheep
Step-by-step explanation:
If you have 36 sheep and you sell:
first day 1/2 of them you sold 18
second day 1/3 them you sold 12
On thhe third day 1/9 them you sold 4
Therefore you sold 18 + 12 + 4 = 34
And you still have 2 sheep
the width of a newspaper is 13 3/4 inches. The left margin is 7/16 inch and the right margin is 1/2 inch. what is the width of the written page inside the margin?
Answer:
biggafigure a
mnn
Step-by-step explanation:
The Red Line Below is Parallel To which of the following?
A. The x-axis
B. The origin
C. the y-axis
D. None of those
Answer:
C. y axis
Step-by-step explanation:
y axis is the answer
Question 8: Find the equation of the straight line that:
(a) has a gradient of 4 and passes through the point (1, 10)
Answer:
[tex]y=4x+6[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
1) Plug the gradient into the equation (b)
[tex]y=mx+b[/tex]
We're given that the gradient of the line is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=4x+b[/tex]
Plug in the given point (1,10) as (x,y) and solve for b
[tex]10=4(1)+b\\10=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]10-4=4+b-4\\6=b[/tex]
Therefore, the y-intercept of the line is 6. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+6[/tex]
I hope this helps!
answer = y = 4x + 6
y = mx + b
gradient = slope = m = 4
(1,10) = (x,y)
plug in the values
10 = 4 (1) + b
10 = 4 + b
b = 6
y = 4x + 6
convert 0.25151 to a fraction
Answer:
25151/100000
Step-by-step explanation:
When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. Find the number.
Answer:
x=3
Step-by-step explanation:
Equation: 7x-8=3x+4
4x=12
x=3
Which number line represents the solutions to -2x = -6?
Answer:
3
Step-by-step explanation:
-2x = -6
or, x = -6 / -2
or, x = 3
will make brainliest, please help
cross out 3 digits in the number 51489704 so that the number remaining is divisible by 45
Answer:
1,152
Step-by-step explanation:
So here, we shall be removing random numbers
For ease, since the number is divisible by 45: it is advisable to end the selected number with zero
So we have it that;
we are crossing the first 4, 9 and 7
So, we are left with;
51,840
dividing this by 45 will give 1,152
What is the reflection of (-50, -30) across the y-axis?
Answer:
(50,-30)
Step-by-step explanation:
Reflecting a point across the y axis is just like flipping a page on a book. The x coordinate is flipped and the y coordinate stays the same.
Pls solve this fast.. plsssss
The quadratic polynomial whose zeroes are 3 and -4
Answer:
x^2 + x -12
Step-by-step explanation:
Here, we want to get the quadratic polynomial given its roots
Mathematically, we have it that;
x = 3 and x = -4
We can have that re-written before equating to zero as;
x-3 and x + 4
We can then proceed to multiply these two binomials
(x-3)(x + 4)
= x(x+ 4) -3(x + 4)
= x^2 + 4x -3x -12
= x^2 + x - 12
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!
ok this is answer any questions
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
Does anyone know the answer to this question?
Answer:
Step-by-step explanation:
Third graph because when x is greater than two the lines slants up
Write using exponents. Rewrite the expression below in the same sequence.
Answer:
[tex]10^2a^2b[/tex]
Step-by-step explanation:
Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].
Simplify 5^3 x 5^4
5^12
5^7
25^12
25^7
Please help ASAP. Please. The answer is one of those above.
Answer:
5⁷
Step-by-step explanation:
5³×5⁴
when bases are same powers are added
so..
5(³+⁴)
5⁷
Answer:
5^7
Step-by-step explanation:
Think of it like x^3 * x^4. Since when two variables with exponents are multiplied, the exponents are added, you get x^7. (But just use 5 instead of x.)
You can also check by seeing the result of 5^3*5^4 is 78,125 and 5^7 is also 78,125. Hope that helps!
a pair of integers whose sum is -12
There can be infinitely many pair of integers that have the sum -12.
Example:
1. (-24), (12)
2. (-10), (-2)
3. (-12), (0)
Answer:
Multiple pairs.
Step-by-step explanation:
There are a lot of solutions to this problem. For example:
(-24)+12
(-36)+24
(-48)+36
and so forth.
The solution of the system of equations has coordinates where x is between 2 and 3 and y is between 2 and 3. What is a reasonable approximation for each value to the tenths place? x Almost-equals 2.2, y Almost-equals 2.1 x Almost-equals 2.2, y Almost-equals 2.4 x Almost-equals 2.7, y Almost-equals 2.3 x Almost-equals 2.7, y Almost-equals 2.6
x Almost-equals 2.2, y Almost-equals 2.4
Answer:
Its B
Step-by-step explanation:
correct on edge
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
brainlest if correct !!!!!
Answer: C. x > 0
Step-by-step explanation:
It is an empty circle, meaning the value of 0 is not included in the inequality, so it's not ≤ or ≥.The arrow goes to the right, towards values greater than 0, therefore it is > and not <.The answer would be x > 0.
Answer:
C
Step-by-step explanation:
The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangular plot?
Answer:
72 m^2
Step-by-step explanation:
Perimeter = 36
Length + width = 18
w + w + 6 = 18
2w + 6 = 18
2w = 12
w = 6
Length + 6 = 18
Length = 12
Area = 6 * 12 = 72 m^2
Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Answer:
x = his sister's height = 19 inches
Step-by-step explanation:
Let
x = his sister's height
Jahlil's height is given by the equation:
4x - 6 = 70
4x = 70 + 6
4x = 76
x = 76/4
x = 19 inches
x = his sister's height = 19 inches
Check:
4x - 6 = 70
4(19) - 6 = 70
76 - 6 = 70
70 = 70
If < A and < B are a linear pair, and < A = 68 °, then < B = _____.
Select one:
a. 68 °
b. 112 °
c. 101 °
d. 90 °
Answer:
Option b, 112°
Step-by-step explanation:
<A+<B=180
or, 68+<B=180
or, <B=112
Answered by GAUTHMATH
find k so that x+2 is a factor of x^3 - kx^2 + 2x + 7k
Answer:
k = 4
Step-by-step explanation:
If (x + 2) is a factor then f(- 2) = 0
f(x) = x³ - kx² + 2x + 7k , then
f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0
⇒ - 8 - k(4) - 4 + 7k = 0
⇒ - 8 - 4k - 4 + 7k = 0
⇒ 3k - 12 = 0 ( add 12 to both sides )
⇒ 3k = 12 (divide both sides by 3 )
⇒ k = 4
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of x³ - kx² + 2x + 7k then
the value of x = -2
Solve for k
f ( x ) = x³ - kx² + 2x + 7kplug -2 as x in the expression.
f ( -2) = ( -2)³ - k ( -2)² + 2 ( -2 ) + 7 k = 0expand the exponents
= -8 -4k -4 + 7k = 0combine like terms
= -8 -4 + -4k + 7k = 0= -12 + 3k = 0add 12 to both side
-12 + 12 + 3k = 123k = 12divide each side by 3
3k / 3 = 12/3k = 4What do you know about the hypotenuse of triangle abc
Step-by-step explanation:
it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe