Answer:
4i and -4i
Step-by-step explanation:
4.5x^2 = -72
x^2 = -16
x=-4i, 4i
2) Given that XY || AC, what is YC if BX = 10, BA = 15, and BY = 8?
A) 4
XB) 6
0)
8
D) 12
The parallel lines XY and AC is an illustration of similar triangles
The value of YC is 12 units
How to determine the length of YCFrom the question, we have:
Parallel lines XY || AC
This means that:
BA : BX = YC : BY
Substitute known values in the above ratio
15 : 10 = YC : 8
Express the ratio as fractions
[tex]\frac{15}{10} = \frac{YC}{8}[/tex]
This gives
[tex]1.5 = \frac{YC}{8}[/tex]
Multiply both sides by 8
[tex]YC = 12[/tex]
Hence, the value of YC is 12 units
Read more about similar triangles at:
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if p= (-2 4) then find Ry=1 (p)
Please Help
The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
To solve this question, we must understand what is reflection mapping is all about.
What is reflection mapping?In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.
From the given information, we have:
The given points P = (-2, 4)
Required to find:
[tex]\mathbf{R_{y =1}(P)}[/tex]
Hence, the image of P under the axis(point of reflection line) is y = 1
The mapping of this reflection in line is y = kThus,
[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]
[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]
[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]
Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
Learn more about reflection mapping here:
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Herman is drawing a rectangle with a base that is
four times the length of its height. The perimeter of
his rectangle is 60 feet. How long are the base and
height of Herman's Rectangle?
heightAnswer:
12
Step-by-step explanation:
(x representing the smallest size)
x + 4x = 60
5x = 60
x = 12
the height is 12
to confirm:
12 x 4 = 48
48 + 12 = 60
Josh's desk is 36 inches tall. When
he meaured the desk using a yard
stick, it was 1 yard tall. Why did the
number decrease when he
measured with the yard stick?
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
The Answer is C 165$
Step-by-step explanation:
Final price = original price x ((100 - % off) / 100)
final price = 220 x ((100 - 0.25) / 100)
how to solve for x in an equation like 12sin(30)=x
or am i doing that wrong too
Answer:
what type of triangle is this ?
Step-by-step explanation:
Which of the following number line graphs shows the solution set of 3|x| + 1 > 7?
Answer:
D
Step-by-step explanation:
When doing this problem remember that absolute value is a number's distance from zero, and distance is always positive. So, absolute value makes any number positive. This means that |±x| = x. To find the correct number graph, first solve the inequality.
3|x| + 1 > 7Subtract 1 from both sides
3|x| > 6Divide both sides by 3
|x| > 2Then, we need to use absolute value. Any number with a distance from 0 greater than 2 fulfills this inequality. So, the number graph should represent -2 > x and x > 2. Additionally, because the inequality is looking for greater than but not equal to, the circles should be open.
I am a solid.
I have 6 vertices.
I have 5 faces.
3 of my faces are rectangles, the other 2 are triangles.
What am I?
Answer:
a triangular prism
Step-by-step explanation:
The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.
You pick a card at random. Without putting the first card back, you pick a second card at random.
4
5
6
7
What is the probability of picking a 6 and then picking a 7?
Someone please help me I have to turn this in tomorrow
Graph 3x-4y=-12 using intercepts.
Will mark brainliest if right
Answer:
See the attached file
There is also this app "desmos" it helps in this just put the equation in there
Answer:
Read below
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)1. Rewrite 3x - 4y = -12 into slope-intercept form:
3x - 4y = -12 [subtract 3x from both sides]
3x - 3x - 4y = -12 - 3x
-4y = -3x - 12 [divide both sides by -4]
-4y ÷ -4 = -3x - 12 ÷ -4
[tex]\implies y =\dfrac{3}{4}x + 3[/tex]
Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)
2. Randomly choose x-values that can help you graph the equation:
When x = -8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]
coordinate: (-8, -3)
When x = -4:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]
coordinate: (-4, 0)
When x = 8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]
coordinate: (8, 9)
Graph these coordinates and draw a linear (straight) line through them.
I need help with some questions ASAP in the law category. It's actually personal finance but it doesn't give you that option. answer whatever and you still get the points. (:
what is the volume of the figure below
18x12x13x5 divided by 1/2
Answer: is 28080
Step-by-step explanation:
please answer with explanation
Answer:
Step-by-step explanation:
area formula
Using diagonals: A = (d1 × d2) : 2
we use the inverse formula
A * 2 : d1
225 * 2 : 15 =
30cm
--------------------
check
15 * 30 : 2 = 225
the answer is good
Answer the questions about the following function.
x + 6
f(x) =
x-12
(a) Is the point (5,-2) on the graph of f?
(b) If x= 3, what is f(x)? What point is on the graph of f?
(c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f?
(d) What is the domain of f?
(e) List the x-intercepts, if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
(g) What are the zeros of f?
The given rational function has a vertical asymptote at x = 12, and the
graph has x and y-intercept at the negative x and y-axis.
Response:
(a) The point (5, -2) is not on the graph
(b) f(x) = -1
The point on the graph of f is (-1, 3)(c) If f(x) = 2, x = 30
The point on the graph of f is (30, 2)(d) Domain = (-∞, 12) ∪ (12, ∞)
(e) x-intercept is at x = -6, which is the point (-6, 0)
(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)
(g) A zeros of f, is x = -6
Which method is used to evaluate the rational function?The possible given function is presented as follows;
[tex]f(x) =\mathbf{\dfrac{x + 6}{x - 12}}[/tex]
(a) When x = -2, we have;
[tex]f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}[/tex]
Therefore;
The point ([tex]-\frac{2}{7}[/tex], -2) is on the graph, which gives;
The point (5, -2) is not on the graph(b) If x = 3, we have;
[tex]f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1[/tex]
f(3) = -1The point on the graph of f is (-1, 3)(c) If f(x) = 2, we have;
[tex]f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]
2·(x - 12) = x + 6
2·x - x = 6 + 2 × 12 = 30
x = 30
If f(x) = 2, x = 30The point on the graph of f is (30, 2)(d) The domain which is the list of possible x-values, which is expressed as follows;
Domain; -∞ < x < 12, and 12 < x < ∞
Which gives;
Domain = (-∞, 12) ∪ (12, ∞)(e) The x-intercepts are;
[tex]0 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]
x-intercept is at x = -6, which is (-6, 0)(f) The y-intercept
[tex]At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}[/tex]
The y-intercept is at y = -0.5, which is (0, -0.5)(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6
A zeros of the graph is x = -6Learn more about the graph of functions here:
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can someone problem solve a side of a square?
Answer:
yeah
Step-by-step explanation:
give me the pic and ill solve
the area of the square is 144 square meters. the length is 12 m
Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, how many mangoes did Mark pick?
Answer:
5
Step-by-step explanation:
The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5
What function is x=2 mapped to 32?
A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
*This answer may be wrong (part a), so make sure to double check with someone trustworthy. Feel free to tell me if I had made any mistakes, and I will fix them. Congrats if you read through my whole answer! Good luck!
Answer (a):
Coordinate: (0, 65)
Slope: -25
Step-by-step explanation:
Hint: In the graph, make one space represent 5 units to make the graph simpler (be careful on step #4 when plotting)
1.) Find the y - intercept to find a coordinate the line goes through.
2.) Rewrite the equation -25x + y = 65 in slope - intercept form.
y = 25x + 65
65 is the y - intercept at (0, 65)
3.) The slope is -25, so the slope is negative. To have a slope of 25, we can use the rise/run formula for the slope.
4.) Go 25 units to the left (to get to -25) and one unit down. Plot this point in the graph.
5.) After you have plotted these two points down (y - intercept and slope), draw a line through it.
Answer (b):
$140
Step-by-step explanation:
1.) We plug in 3 in x because it has three charms.
2.) New equation: -25(3) + y = 65
-75 + y = 65
3.) We add 75 to both sides to isolate y.
-75 + y = 65
+75 + y = 65 + 75
y = 140
How do you solve this? I know the formula is y=mx+b
Answer:
put it in the formula
Step-by-step explanation:
SOLVE & SHOW YOUR WORK !!!!
Answer:
Step-by-step explanation:
You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.
If that is so, then <M and <X are equal.
You can find < M by stating that 20 degrees.
That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.
<L = 70 Given
<N= 90 So marked.
70 + <M + 90 = 180
<M = 20 degrees.
<X = <M
<X = 20
Line AC and line DB intersect at point P. Solve for angle BPQ.
To earn full credit for presenting and defending your mathematical solution, you must share the equation, show the steps to solving for the variable x, show the steps to solving for angle BPQ.
Answer:
Angle BPQ = 64°
Step-by-step explanation:
4x + 12 +2x = 90
6x + 12 = 90
- 12 -12
6x = 78
x = 13°
BPQ = ((4(13) + 12)°
(52 + 12)°
64°
What is the area of this circle?
When calculating, use 3.14 as the estimation of n.
Round to one decimal place.
T
2 units
units2
Answer:
What does the circle look like?
Step-by-step explanation:
To find the area use 3.14 times the radius squared.
Give me the picture of the circle so I can solve it.
rotation transformation of rotates the shape 125 clockwise.?
Answer:
90 degree rotation counterclockwise.
I think its right, BE SAFE! Hope it helps :3
When going to a field trip, how can you apply your understanding on percent?
Answer:
if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?
3p^2+2p-8 factor the common factor out of the expression?
Answer:
3p²+2p-8
3p²+6p-4p-8
3p(p+2)-4(p+2)
= (3p-4)(p+2)
What is the ratio of cats to pumpkins? What is the ratio of pumpkins to cats? Write
your answer in three different ways in the simplest form.
Please Help me I don't understand :)
Answer:
There is 1 cat to 3 pumpkins
1 : 3
1 to 3
[tex]\( \displaystyle \frac{1}{3} \)[/tex]
Step-by-step explanation:
A ratio says how much of one thing there is compared to another thing.
There are 2 cats and 6 pumpkins, so we say:
"There are 2 cats to 6 pumpkins"
Ratios can be shown in different ways:
Use the ":" to separate the values: 2 : 6
Use the word "to": 2 to 6
[tex]\textsf{write it like a fraction}:\ \( \displaystyle \frac{2}{6} \)[/tex]
This ratio can be reduced to its simplest form by divide both numbers by 2. So the ratio in its simplest form is:
There is 1 cat to 3 pumpkins
1 : 3
1 to 3
[tex]\( \displaystyle \frac{1}{3} \)[/tex]
(01.06 LC)
Which of the following statements best describes adjacent angles?
O Adjacent angles are vertical.
O Adjacent angles are supplementary.
O Adjacent angles share interior points.
O Adjacent angles share a side.
Answer:
(d) Adjacent angles share a side
Step-by-step explanation:
Adjacent angles share a side and a vertex. They have no interior points in common.
__
In the attachment, 'a' and 'b' are adjacent angles.
A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could he run in 60 seconds?
Answer:
192 would be your answer.
The graph of a quadratic function with vertex (-3,3) is shown in the figure below.
Find the domain and the range.
Answer:
Domain:(∞,-∞)
Step-by-step explanation:
Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.