Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4
Which function is positive for the entire interval [–3, –2]?
On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).
On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Answer:
B
Step-by-step explanation:
Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.
To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.
The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.
The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.
The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.
The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.
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What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?
Answer:
y=1/3x+7
Step-by-step explanation:
Hi there!
We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)
Parallel lines have the same slopes, but different y intercepts
So we need to find the slope of x-3y=21
To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
We'll need to isolate y onto one side
subtract x from both sides
-3y=-x+21
divide both sides by -3
y=1/3x-7
1/3 is in the place where m is, so 1/3 is the slope of the line
it's also the slope of the line parallel to x-3y=21
here's the equation of the line parallel to x-3y=21 so far:
y=1/3x+b
we need to find b
as the line passes through (-6,5), we can use it to solve for b
substitute -6 as x and 5 as y
5=1/3(-6)+b
multiply
5=-2+b
add 2 to both sides
7=b
Substitute 7 as b into the equation
y=1/3x+7
Hope this helps!
pls help me solve pls show how you got the answer
Step-by-step explanation:
(-13) + 7 – (-2) + (-6) + ( ) = 0
Let the unknown be "y"
-13 + 7 + 2 - 6 + y = 0
-10 + y = 0
y=10.
The missing Number is 10.
Verify
-13 +7 + 2 -6 + 10 = 0.
Answer:
10
Step-by-step explanation:
What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y = -1/2x + 1/4
This equation is in slope intercept form
y = mx+b where m is the slope and the y intercept is b
The slope is -1/2 and the y intercept is 1/4
if 52% = 2600 what would 100% be
Answer:
5000
Step-by-step explanation:
[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
50 POINTS please help!
quickly
What is the value of sinX?
llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:
[tex]k = \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - Input.
[tex]y[/tex] - Output.
If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:
[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]
[tex]k_{1} = \frac{45.5}{13}[/tex]
[tex]k_{1} = \frac{7}{2}[/tex]
[tex]k_{2} = \frac{y_2}{x_2}[/tex]
[tex]k_{2} = \frac{49}{14}[/tex]
[tex]k_{2} = \frac{7}{2}[/tex]
[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]
[tex]k_{3} = \frac{52.5}{15}[/tex]
[tex]k_{3} = \frac{7}{2}[/tex]
Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.
The picture up above
Answer:
its being reflected over the y-axis
Step-by-step explanation:
-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right
Answer:
3. first make Y the subject, then x^2 will become negative which will make the the parabola open up
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
Figure ABCD is a rhombus.
Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.
What is the value of x?
13
14
26
28
The value of x is 13 in the rhombus ABCD
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners
In figure ABCD is a rhombus
Given as Angle ∠ A = (5x + 25)
Angle ∠ D = (7x - 1)
Since adjacent angles of a rhombus add up to 180°
(5x + 25) + (7x - 1) = 180 and both equal
So, 5x + 25 = 7x - 1
Rearrange the terms in the equation,
7x - 5x = 1 +25
2x = 26
x = 13
Hence, the value of x is 13 in given figure.
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Does this graph represent a function? Why or why not?
Answer:
B yes, because it pases the vertical line test
The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?
Answer:
No, ice cream cannot fits inside the cone.
Step-by-step explanation:
radius of cone, r = 3 cm
height of cone, h = 10 cm
radius of ice cream sphere, R = 33.5 cm
The volume of the cone is
[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]
Volume of ice cream
[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]
As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.
Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?
Answer:
Step-by-step explanation:
Area 32
rounded up 3/16
Noah needs 1063 square centimeters of clothes.
The area of the kite is 1063 square centimeters.
The correct option is B.
What is a kite's shape?
A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
To find the area of a kite, you need to use the formula:
Area = (diagonal 1 x diagonal 2) / 2
where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.
To use this formula, follow these steps:
Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:
Multiply the length of "diagonal 1" by the length of "diagonal 2".
That means the result is 2125.52
Divide the result by 2.
2125.52/2
= 1062.76
≈ 1063
Therefore, the area of the kite is 1063 square centimeters.
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The complete question:
Noah wants to make the kite shown below out of cloth.
He wants to determine how much clothes he needs.
What is the area, rounded to the nearest square centimeter, of Noah's kite?
The image of the kite is given below.
Which system of equations has one solution?
help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation
Answer:
graph "B"
at 0 graph = -1200 that is the production cost
Step-by-step explanation:
Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true
Answer:
C. Only statements #1 & #3 are true.
Step-by-step explanation:
A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).
All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.
Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.
An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26
Answer:
The answer would be B
Answer:
-2
Step-by-step explanation:
We know that the object is at 12 on a horizontal line.
The horizontal line of a graph is the x axis, so lets think of 12 as 12x
On a graph, left is negative, and right is postive.
In this case we need to move 14x to the right, or -14x.
We start at 12x, so its going to be:
12x-14x=-2x
So -2 is the postition of the object on the x axis.
This is answer B.
Hope this helps!
Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a
Answer:
Quadrilateral is another word for a shape with four sides.
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation:
AB=CD
AD=BC
BD not equal to AC (Diagonals are not equal)
AB not equal to BC (Adjacent sides are not equal)
Thus the quadrilateral is parallelogram
Brainliest please
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
1) 1 hour and 15 minutes
2) 4:07
3) 30 minutes
4) 8:35
9) 1 hour and 53 minutes
10) 4:17
11) 2 hours and 52 minutes
12) 3:35
13) 9:55
14) 8:10
15) 1 hour and 45 minutes
16) 3:05
17) 6:48
18) 9:45
19) 1 hour and 25 minutes
20) 2 hours and 45 minutes
Brainliest would be appreciated :)
HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
What is 2x/3 - 4 =x ?
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle
Answer: 18,27,36
Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
my previous account deleted...how r u sadie??
the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?
Answer:
Sundeep will arrive in Barcelona at 12pm
What is the sum of the fractions? Use the number line to help find the answer.|
+
5
Answer:
-4/5
Step-by-step explanation:
If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)
Answer:
You subtract them:
3/5-7/5 (the plus disappears when faced with a minus)
-4/5
Yea thank for the answer
Answer:
Step-by-step explanation:
Hello!
10*17 = > 170 cm²
(3,14 * 8)/4 =>6,28cm²
170 + 6,28 => 176,28cm²
Answer:
182.56
Step-by-step explanation:
Area of the rectangle = 10 * 17 = 170cm^2
Area of Circle = 8 * 2 * [tex]\pi[/tex] * 1/4
=> 12.56
=> 170 + 12.56
=> 182.56 is the area
Hope it helps :)
please help me solve this problem one problem for 15 points
i didn't get it what is the question
