Answer:
It is (x - 7)(x + 7)
Step-by-step explanation:
[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]
from the "difference of two squares"
[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]
take;
a » x
b » 7
substitute:
[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]
How do you reflect it correctly
Step-by-step explanation:
please watch reflection in the picture
How do you know that the absolute value of -|-9| is equal to -9?
Step-by-step explanation:
b/c -|9|
first we will out the number from absolut value
then it will give as -9
x+12=7 plz solve for x and explain
Answer:
x+12=7
x=7-12
x=-5
Step-by-step explanation:
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (2, 0)
A. 2x2 = y
B. y2 = 8x2
C. x2 = 8y
D. y2 = 8x
If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The vertex of the parabola is (0, 0) and the focus is (2, 0).
Then the equation of the parabola passing through the origin is given as
x² = 4ay
Then the value a is equal to 2.
Then the equation will be
x² = 4 × 2 × y
x² = 8y
More about the parabola link is given below.
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Answer:
D
y^2 = 8x
Step-by-step explanation:
Please I suffered through the question.
Hope this helps!
if the sum p(x)=ax^2-3x+b and q(x)=3x^3-12x^2+cx-13 is r(x)=3x^3-8x^2+3x-5,then find the value of a,b and c.
Answer:
a=4, b=8, c=6
Step-by-step explanation:
ATQ, p(x) + q(x) = r(x)
3x^3-(12-a)x^2-(3-c)x+b-13 = 3x^3-8x^2+3x-5
Comparing the coefficients, we have
12-a=8, a=4
b-13=-5, b=8
-(3-c)=3, c=6
5/8k=25
how do i do this?
Answer:
[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]
I hope it helped U
stay safe stay happy
Answer:
k=1/40
Step-by-step explanation:
multiple both sides by 8k
5= 25×8k
simplify 25×8k to 200k
5=200k
divide both sides by 200
5/200=k
simplify 5/200 to 1/40
1/40= k
switch sides
k=1/40
What number is 5 units to the left of 12 on the number line?
The diameter of a table tennis ball is millimeters. What is the approximate surface area of a table tennis ball?
Answer:
since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²
factorise 30n² - 87n + 30
can someone help pls quickly
thanks
Answer:
[tex]3(5n - 2) \times (2n - 5)[/tex]
Step-by-step explanation:
[tex]30 {n}^{2} - 87n + 30[/tex]
[tex]3(10 {n}^{2} - 29n + 10)[/tex]
[tex]3(10 {n}^{2} - 4n - 25n + 10)[/tex]
[tex]3(10 {n}^{2} \times (5n - 2) - 25n + 10)[/tex]
[tex]3(2n \times (5n - 2) - 5(5n - 2))[/tex]
[tex] = 3(5n - 2) \times (2n - 5)[/tex]
what is the value of a^(m-n) *
Answer:
[tex]a {}^{m - n} [/tex]
Step-by-step explanation:
...........
Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C. Her oven measures temperature in Fahrenheit only. At what temperature in degrees Fahrenheit should she set her oven to make the cookies per the recipe?
Answer:
180° Celsius is equal to approximately 356° Fahrenheit
Step-by-step explanation:
I hope this helps.
The value of 180 degree Celcius in Fahrenheit is 356.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.
The temperature in Fahrenheit will be calculated as,
F = 1.8C + 32
F = ( 1.8 x 180 ) +32
F = 356
Therefore, the value of 180 degree Celcius in Fahrenheit is 356.
To know more about unit conversion follow
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Someone help please.
Answer:
[tex]\dfrac{ 450 \sin ( 140 ) }{ \sin ( 28 ) }[/tex]
= 616.127679049
"B"
Step-by-step explanation:
please tell me the answer with explanation.
Answer:
HELLO DEAR,
GIVEN:-
10sin⁴A + 15cos⁴A = 6
=> 10(sin²A)² + 15cos⁴A = 6
=> 10{(1 - cos²A)²} + 15cos⁴A = 6
=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6
=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6
=> 25cos⁴A - 20cos²A + 4 = 0
=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0
=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0
=> (5cos²A - 2)(5cos²A - 2) = 0
=> cos²A = 2/5
=> cosA = √2/√5 [ secA = √5/√2]
therefore,
sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]
now,
27cosec^6A + 8sec^6A
=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³
=> 27 × 125/27 + 8 × 125/8
=> 125 + 125
=> 250.
HENCE, 27cosec^6A + 8sec^6A = 250.
I HOPE IT'S HELP YOU DEAR,
THANKS
Step-by-step explanation:
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
How many Numbers are in between 17 and 43??
Answer:
26 numbers
Step-by-step explanation:
b. How many faces does a cube have? 아
Cube have 6 faces.
hope it helps
tq
6-r+3r=4 solve for r
Answer:
r=-1
Step-by-step explanation:
6-r+3r=4
or, 6+2r=4
or, 2r=-2
or, r=-1
Distribute 3x(4x-2) please help
3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x
50 POINTS WILL MARK BRAINLIEST
Evaluate the expression when b=4 and x=-5.
-b+ 3x
Answer:
-19
Step-by-step explanation:
Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.
-b + 3x
-(4) + 3(-5)
-4 + (-15)
-4 - 15
-19
Answer:
[tex]\boxed {\boxed {\sf -19}}[/tex]
Step-by-step explanation:
We are asked to evaluate the following expression.
[tex]-b+3x[/tex]
We know the b is equal to 4, and x is equal to -5.
b=4 x=-5We can substitute the values into the expression.
[tex]-(4) + 3(-5)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.
[tex][-1 *4] + 3(-5)[/tex]
[tex]-4+ [3*(-5)][/tex]
[tex]-4+-15[/tex]
Add.
[tex]-19[/tex]
The expression -b+3x is equal to -19 when b equals 4 and x equals -5.
You eat 3/10 of a coconut. Your friend eats 1/5 of the coconut. What fraction of the coconut do you and your friend eat? Write your answer as a fraction in simplest form
Answer:
1/2 of the coconut.
Step-by-step explanation:
1/5 is equal to 2/10, so we can add these two fractions as 3/10 + 2/10, or 5/10. Simplifying this gets us 1/2, so you and your friend eat, in total, half of the coconut.
What is the slope of –3x + 5y = 10? A. m = B. m = 5 C. m = – D. m = –3
Answer:
The slope is 3/5
Step-by-step explanation:
–3x + 5y = 10
Rewrite the equation in slope intercept form y = mx+b where m is the slope and b is the y intercept
Add 3x to each side
5y = 3x+10
Divide by 5
y = 3/5 x + 10/2
The slope is 3/5
Given f(x)=7x-1 find f(-2) f(-2)=
Answer:
f(-2) = -15
Step-by-step explanation:
f(x) = 7x - 1
f(-2) = 7(-2) - 1
f(-2) = -14 - 1
f(-2) = -15
Need help on how how to do the question step by step need help ASAP
Answer:
4
Step-by-step explanation:
64 = 4 × 4 × 4 = 4³ , then
[tex]\sqrt[3]{4^3}[/tex]
= 4
Simplify the expression by combining like terms:
8x + 3y + 2x^2 + 6y^2 + 7 =
a
10x^2 + 9y^2 + 7
b
8x + 3y + 2x^2 + 6y^2 + 7
c
11xy + 8xy^2 + 7
Answer:
8x + 3y + 2x^2 + 6y^2 + 7 =
Step-by-step explanation:
8x + 3y + 2x^2 + 6y^2 + 7 =
Combine like terms
There are no like terms
8x + 3y + 2x^2 + 6y^2 + 7 =
Let's combine
8x+3y+2x²+6y²+7No like terms present
We may arrange in order of degrees.
2x²+6y²+8x+3y+7Mr. Martin's car odometer showed 10,393 miles. His wife's odometer showed 26,481 miles. How many more miles were shown on his wife's odometer than on Mr. Martin's odometer?
Answer:
16,088 more miles
Step-by-step explanation:
Do 26,481-10,393 to get the answer.
26,481-10,393=16,088
The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.
Please help me write an equation.
Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3
[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]
So let find the y coordinate
[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]
So our y coordinate is 6.
What is 10% less than 220?
Answer:
198
Step-by-step explanation:
10% less of 220
=> 220 - 10% of 220
=> 220 - (10/100 × 220)
=> 220 - 22
=> 198
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
I need to answer this someone Help
Answer:
48 kg
Step-by-step explanation:
8x+2 = 9x-4
8x-9x = -4-2
-x = -6
x = 6
Jane's weight at first = 8x = 8(6) = 48 kg
Evaluate k + 3 when: *
4 points
51 13 15 43 9 45 37
k = 12
k = 48
k = 10
k = 40
k = 12
k = 48
k = 10
k = 40
Step-by-step explanation:
12 + 3=15
48+ 3=51
10 + 3=13
40 + 3=43
12 + 3=15
48 + 3=51
10 + 3=13
40+ 3=43