Answer:
41+-3=38
the rule in exponent says to subtract and take higher no. sign in addition
A ship sails from east to west direction for 5 km, and then sails north for 12 km. Find the distance between its destination and its starting position?
Answer:
13km
Step-by-step explanation:
Distance, x = √(12² + 5²)
= 13
Please help me anyone
It's very blurry can u retake it?
What is y=2x+8 and y=.5x+14
Answer:
first we have to solve for x in order to find the value of y
2x+8=5x+14
5x-2x=14-8
3x=6
x=2
placing the x value in these two equation to find the value of y
y=2(2)+8
y=12
y=5(2)+14
y=24
now those are the two values of y
hope it's helpful
thank you !
find the ratio between 6 cm and 1.5m
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
Find the volume of this cone.
Use 3 for T.
V =
71 r2h
3
V
V ~ [?]in3
110in
4in
Answer:
V = 40 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 4 so the radius is 1/2 the diameter or 1/2(4) =2
The height is 10 and we are using 3 for pi
V = 1/3 (3)(2)^2 (10)
V = 40 in^3
PLEASE HURRY!!!
Find the area of the region that is NOT shaded.
Answer: 122 square feet
Explanation:
The larger rectangle has area of 14*15 = 210 square feet.
The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.
The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet
Simplify the expression:
4 + 4f2 + 6f - 6f
Answer:
4f^2 +4
Step-by-step explanation:
4 + 4f^2 + 6f - 6f
Combine like terms
4f^2 +4
Find the slope, if it exists. 5x - 7y = 14 Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined.
Answer:
5/7
Step-by-step explanation:
5x-7y=14
-7y=14-5x
y=-2+5/7x
y=5/7x-2
This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.
4. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
= Answer should be detailed.
Answer:
The height of the parallelogram is 12 cm.
Step-by-step explanation:
We are given that a triangle and a parallelogram have the same base and same area.
The sides of the triangle measure 26 cm, 28 cm, and 30 cm.
We are given that the base of the parallelogram is 28 cm, and we want to determine its height.
Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:
[tex]\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where a, b, and c are the sides and s is half of the perimeter.
The perimeter is:
[tex]P = (26) + (28) + (30) = 84[/tex]
Hence, s = 42.
Then the area of the triangle is:
[tex]\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}[/tex]
The area of a parallelogram is given by:
[tex]\displaystyle A = bh[/tex]
We are given that the base is 28 cm:
[tex]\displaystyle A = 28 h[/tex]
Its area is equivalent to the area of the given triangle. Hence:
[tex]\displaystyle 336 = 28h[/tex]
Divide:
[tex]\displaystyle h = \frac{336}{28} = 12\text{ cm}[/tex]
In conclusion, the height of the parallelogram is 12 cm.
30PTS PLEASE I NEED HELP Factor completely: 64y^3 -729z^3
Answer: (4y-9z)( 16y^2 + 36yz + 81z^2 )
=======================================================
Explanation:
We'll use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
In this case,
a^3 = 64y^3 which leads to a = 4yb^3 = 729z^3 which leads to b = 9zSo,
a^3 - b^3 = (a-b)(a^2+ab+b^2)
64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )
64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )
how to solve 1168 divided by 8
Find the area of the shaded region.
8 in
24 in
Answer:
96 in^2
Step-by-step explanation:
area of rectangle: 24*8=192
Area of triangle: (1/2)*base*height
= .5 * 8 * 24
=192/2
=96
area of shaded=rectangle - triangle
= 192-96
which is also just 192/2
so it is 96
Use the distributive property to find an expression equivalent to 24 + 64.
8(3 + 8)
6(4 + 8)
24 + (8)(8)
(2)(12) + (8)(8)
Please hurry
Answer:
8(3+8)
Step-by-step explanation:
The distributive property of multiplication states that
A(B+C) = A* B + A* C
Here, we can say that
8(3+8) = 8*3 + 8* 8 = 24 + 64. This seems correc,t but we can check the other options to make sure
6(4 + 8) = 6 * 4 + 6*8 = 24 + 48. This is incorrect
24 + (8)(8) . The 24 and 8 are not in the same parenthesis, so we cannot multiply them. Using PEMDAS, we multiply first, so 24+(8)(8) = 24 + 8*8 = 24 + 64. If there are multiple solutions, this can work. If not, this does not use the distributive property as we are not adding anything in the parenthesis.
Similarly, for (2)(12) + (8)(8), we are not adding anything in the parenthesis, but we can use PEMDAS to get 2*12 + 8*8 = 24 + 64, so this would also work but does not use the distributive property.
A set of points is graphed on the scatter plot.
Is y a function of x on the scatter plot? Why or why not?
A
Yes, because the point (6,0) is located on the x-axis.
B
Yes, because the point (0,7) is located on the y-axis.
C
No, because x=−5 corresponds to both y=1 and y=−3.
D
No, because y=−3 corresponds to x=−5, x=−3, and x=1.
Answer:
C
No, because x=−5 corresponds to both y=1 and y=−3.
Step-by-step explanation:
This is not a function. The graph has values of x that correspond to multiple values of t
how to find how many integers between two numbers that are square rooted
Answer: Square roots are the numbers that, when multiplied by themselves, equal the number under the square root sign. For instance, sqrt(9) equals 3, since 3*3 equals 9. You should memorize the values of square roots, at least up through 100. Once you do that, you will easily be able to determine which perfect square, and subsequently, which square root, is between two integers.
Answer:
The other answer is correct.
Step-by-step explanation:
Please just help a girl out please
Answer:
C
Step-by-step explanation:
Simplify the following expression: 6(5 - 3x) - 5(3x + 2)
�� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x
Answer:20-33x
Step-by-step explanation:
someone please help i am not 100% sure how to do this and i need it for the rest of my tesr
Answer:
angleCFE=21 because inscribed angle is half the central angle standing on same same arc.
Can someone please do this for me please
Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11
Consider function f. (-412 + 6.3 + 36, 1 < -2 15, 2 < I 4 Are the statements about the graph of function ftrue or false? true false 2 false The graph crosses the y-axis at (0.–15). The graph has a point of discontinuity at I = The graph is increasing over the interval (4, co) The graph is decreasing over the interval (-12, -2). false The domain of the function is all real numbers. false
Please help
Answer:
Behold.
Step-by-step explanation
The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.
Given functions,f
1) For x ≤ -2: f(x) = -12 + 6x
2) For -2 < x < 1: f(x) = 41 - 15x
3) For x ≥ 1: f(x) = 31 - 4x
1) The graph crosses the y-axis at (0, -15).
This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.
2) The graph has a point of discontinuity at x = 1.
This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.
3) The graph is increasing over the interval (4, ∞).
This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.
4) The graph is decreasing over the interval (-12, -2).
This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.
Statement 5: The domain of the function is all real numbers.
This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.
So, the answer to the statement is
1) false
2) false
3) true
4) true
5) false
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\sqrt{2x+1} = 2+\sqrt{x-3}
Answer:
Square both sides
√(2x+1)=2+√(x-3)
or, 2x+1=(2+√(x-3))²
solving it you'll get two values of x, which are,
x = 4 and x = 12
Answer:
Hello,
x=4 or x=12
Step-by-step explanation:
[tex]\sqrt{2x+1} =2+\sqrt{x-3} \\\\2x+1=4+4\sqrt{x-3} +(x-3)\\\\2x+1-x+3-4=4\sqrt{x-3} \\\\x=4\sqrt{x-3} \\\\ x^2-16x+48=0\\\\\Delta=16^2-4*48=64=8^2\\\\x=\dfrac{16-8}{2} \ or x=\dfrac{16+8}{2}\\\\x=4 \ or\ x=12\\\\Since \ we\ have \ squared \ we\ must\ verify\ the \ solutions\ found:\\\\x=4 \Longrightarrow \sqrt{2*4+1} =? 2+\sqrt{4-3} \Longrightarrow 3 =? 2+1 \\\\x=12 \Longrightarrow \sqrt{2*12+1} =? 2+\sqrt{12-3} \Longrightarrow 5 =? 2+3 \\\\[/tex]
Point slope formula.. help
========================================================
Explanation:
We'll need the slope first
m = slope
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(-3-(-5))
m = (0+4)/(-3+5)
m = 4/2
m = 2
The slope is 2.
Next, pick either of the two given points to play the role of [tex](x_1,y_1)[/tex]
Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.
We'll plug these items into the point slope equation below to solve for y.
[tex]y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-5))\\\\y + 4 = 2(x +5)\\\\y + 4 = 2x +10\\\\y = 2x +10-4\\\\y = 2x +6\\\\[/tex]
Or we could have picked on (-3,0). The m value stays the same (at m = 2)
[tex]y - y_1 = m(x - x_1)\\\\y - 0 = 2(x - (-3))\\\\y = 2(x +3)\\\\y = 2x+6\\\\[/tex]
This one takes a few less steps. Either way, we get to the same answer.
You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.
-----------------------
Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.
So let's say we check (x,y) = (-5,-4)
y = 2x+6
-4 = 2(-5)+6 ... replace x with -5, replace y with -4
-4 = -10+6
-4 = -4
This confirms the first point. I'll let you check the second point.
Answer:
y = 2x+6
Step-by-step explanation:
Attached below is my graph
I graphed the two points, and formed a line
From the point (0,0), i counted the units till the first point the line touches on the y axis (6)
This is the y intercept
The slope-intercept form is written as y = mx+b
m = slope
b = y intercept
So so far we have y = mx + 6
The slope is the rise to the next point the line touches, over the run
You can see that as it rises 2, it runs 1
Rise / Run = 2/1 = 2
Slope = 2
Equation: y = 2x + 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which is a y-intercept of the graphed function
Well, a y-intercept is a the point on a graph where the x value equals 0, because the point sits exactly on the y-axis. In this case, the y-intercept would be (0, -9).
Answer:
(0,-9)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The y intercept is
-9
(0,-9)
WILL GIVE BRAINLIEST PLEASE ANSWER ASAP! URGENT!
Answer:
45
Step-by-step explanation:
so there is 90 degress and you want to find 6x (5x + x) so just subtract 360-90 = 270 then divide by 6 = 45
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!! ANYONE PLEASE I'M DESPERATE A.F
Describe the transformation that takes place with the following rule:
(x - 2, y + 4)
A. Translates 2 units left AND 4 units up.
B. Translates 2 units down AND 4 units right.
C. Translates 2 units up AND 4 units down.
D. Translates 2 units right AND 4 units up.
Answer:
C. TRANSLATE 2 UNITS UP AND 4 UNITS DOWN
Step-by-step explanation:
The transformation that takes place with the following rule (x - 2, y + 4) is translates 2 units left AND 4 units up, the correct option is A.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = [tex]k \times f(x)[/tex]
Horizontal stretch by a factor k: y =[tex]f\left(\dfrac{x}{k}\right)[/tex]
We are given that;
The points (x - 2, y + 4)
Now,
The rule (x - 2, y + 4) means that every point (x,y) of the original figure is moved to a new point (x - 2, y + 4) by subtracting 2 from the x-coordinate and adding 4 to the y-coordinate.
The x-axis is horizontal and positive to the right. Subtracting from the x-coordinate means moving left and adding to the x-coordinate means moving right.
The y-axis is vertical and positive upwards. Subtracting from the y-coordinate means moving down and adding to the y-coordinate means moving up.
Subtracting 2 from the x-coordinate means moving 2 units left and adding 4 to the y-coordinate means moving 4 units up.
Therefore, by transforming functions the answer will be translates 2 units left AND 4 units up.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
Below
Step-by-step explanation:
Volume = area of the circular side * length
Radius of circle = 10
V = pi r^2 l = pi *10^2 * 6
= 100 pi
= 1884 in^2
What is the expression for “the difference between four times a number and three times that number”???
Answer:
B
Step-by-step explanation:
The correct equation will be 4N-3N
If A is directly proportional to B and B = 5 when A = 6.
(a) Find the value of B when A=4.
(b) Find the value of A when B = 2.
(c) Sketch the graph of A against B.
Answer:
good question
but I don't know
please I am so sorry
Which of the following is NOT a polynomial?
A. 3x3 - 2x2 +9.
B. 4.22 - 2x - 3x-1
c. 5x² – 3x + 9
D. 2. – 7
what is the inverse of function of f?
f(x) = -7x - 4
Answer:
f^(-1) (x) = -(x+4)/7
Step-by-step explanation:
f(x) = - 7x-4
f(x)+4=-7x
x=-(f(x)+4)/7
f^(-1) (x) = -(x+4)/7