Answer:
X=2
Step-by-step explanation:
3x = x + 4
3x - x = 4
2x = 4
x = 4/2
x = 2
Check:
3(2) = 2 + 4
6 = 6
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
please help me will mark brainliest
Answer:
What do you need help with
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
What is the length of the hypotenuse of the triangle below?
912
45"
90"
92
n
459
Choice
A.
92
B.
9
C
18
E
812
F.
18 V2
Answer:
D) 18
Step-by-step explanation:
(9√2)²+(9√2)²=h²
81x2+81x2=h²
162+162=h²
324=h²
√324=h
18=h
write this number in standard form.
(7 x 100) + (4 x 100 ) + (8 x 1,000)
help asap.
this is a 5th grader problem.
thank you.
worth 50 points!
Answer:
(7 x 100) + (4 x 100 ) + (8 x 1,000)
=700+400+8000
=1100+8000
=91009100 is the right answer.Given that y varies directly with x, use the specified values to write a direct 1 point
variation equation that relates x and y. x = 24 y=-6*
Answer:
y = - [tex]\frac{1}{4}[/tex] x
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24, y = - 6
- 6 = 24k ( divide both sides by 24 )
[tex]\frac{-6}{24}[/tex] = k , that is
k = - [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x ← equation of variation
True of false a function must have a different output for each input
Answer:
false
Step-by-step explanation:
bc i said so
If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?
Answer:
-55
Step-by-step explanation:
7x-6y=2
-2x-y=3
by substitution method
y=3+2x
7x-6(3+2x)=2
7x-18-12x=2
-5x=20
x=-4
-2(-4)-y=3
8-y=3
-y=3-8
y=5
therefore the value of x=4 and that of y=5
5x-7y=5(-4)-7(5)
=-20-35
=-55
Solve for y. 1/4y+3=-5x
Answer:
y=-20x-12
Step-by-step explanation:
What is the slope of this graph?
A. -4
B. 1/4
C. -1/4
D. 4
Answer:
-4 is the slope
Step-by-step explanation:
Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.
HELP I NEED HELP ASAP
What are the x and y intercepts for this equation? 2x - 3y = 6
Then, write each intercept in coordinate form. Show ALL your work
Answer:
So standard form is 2x-3y=6
Slope intercept form is y=2/3x-2
Anyone know the correct answer?!
Answer: Lower-right corner [tex]3^7 \times \frac{1}{3^4}[/tex]
Explanation:
We use the rule that
[tex]a^{-b} = \frac{1}{a^b}[/tex]
The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.
In this case, a = 3 and b = 4
So,
[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]
which is why overall,
[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
f(x) = -x^2+10x - 17
Answer:
theres a graph with the vertex values if that's what you were looking for
Step-by-step explanation:
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
10
Step-by-step explanation:
2pi(5) is 31.42.
31.42/pi gets you exactly 10pi meters.
Help please i dont get it
Answer:
3.51
Step-by-step explanation:
yes
Answer:
3.28
Step-by-step explanation:
1)) Simplify the expression:
0.6(-5 + 2p)
Answer:
1.2p−3
Step-by-step explanation:
Answer:
-3+1.2p
Step-by-step explanation:
Distribute .6 across the parenthesis (.6*-5 and .6*2p)
How do I solve this with substitution, can you please put the work and steps. (x,y)
y=x+2
3x+3y=6
Answer:
(0,2)
x=0
y=2
Step-by-step explanation:
We know that y=x+2
This means that we can subsitute this for y into the second equation
3x+3(x+2)=6
This is easy to solve
3x+3x+6=6
6x=0
x=0
We can then use this value for x in the second equation
y=0+2
y=2
I doubled checked this answer on desmos and my math is correct
Answer:
Answer:
(0,2)
x=0
y=2
Step-by-step explanation:
We know that y=x+2
This means that we can subsitute this for y into the second equation
3x+3(x+2)=6
This is easy to solve
Step 1:
3x + 3x + 6 = 6
Step 2:
6x=0
6 6
x=0
Then you should substitute y =x + 2 with the given solution from the first equation, x = 0
y=0 + 2
y=2
Your answer should be, x =0 and y = 2 or (0,2)
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
Mr. Smith has 78 total textbooks in his classroom cupboards. If the ratio of Science
books to ELA books is 5 to 8, how many Science books does he have?
38
0 48
O 30
65
The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km
Find the term that must be added to the equation x2−2x=1 to make it into a perfect square.
Answer:
The perfect square ( x -1 )² = 2
Step-by-step explanation:
Explanation:-
Given equation x² - 2 x = 1
⇒ x² - 2 x + 1 -1 = 1
⇒ x² - 2x + 1² = 1 +1
⇒ ( x -1 )² = 2
Which of the following expressions Will result in a product less than zero? Select all that apply
Answer:
A and D
Step-by-step explanation:
Negative times positive is always negative, thus making them less than 0. Negative times negative is positive, so B and C both have a positive product. Hope this helps
Write the first 3 terms for the given formula
f(n) = 2n + 10 for starting with n = 1
1. Which expression can be factored into the form (ax + b)(ax - b), where
a and b are rational numbers?
4n2 - 81
2n2 - 49
2n2 + 49
4n2 + 81
The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).
B.
2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).
C.
2n² + 49:
This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.
D.
4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)
Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
15 x -3=?
5
45
-45
-5
Answer:
- 45
hope it's helpful ❤❤❤❤
THANK YOU.
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
duane spins a fair spinner what is the probability it will land on 4 write your answer as a decimal
Answer:
Give me what the steps are what are the numbers
Step-by-step explanation:
3z squared minus 6z if z = 5
Answer:
45
Step-by-step explanation:
Given
3z² - 6z ← substitute z = 5 into the expression
= 3(5)² - 6(5)
= 3(25) - 30
= 75 - 30
= 45
Answer:
Step-by-step explanation:
First, convert the z’s to numbers.
3(5) squared - 6(5)
do the squared first
3(25)-6(5)
multiply
75-30=45
Answer:45
