Answers
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
Related Questions
Solve for x 3x -y =12
Answers
Answer:
[tex]\displaystyle x= \frac{y + 12}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3x - y = 12[/tex]
Step 2: Solve for x
[Addition Property of Equality] Add y on both sides: [tex]\displaystyle 3x = 12 + y[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle x = \frac{12 + y}{3}[/tex]Answer:
x = y + 12 / 3
Step-by-step explanation:
3x - y =12
3x = y + 12
x = y + 12 / 3
Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?
A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>
Answers
Answer:
Answer is C) V= <-54,21>
Step-by-step explanation:
Compenent form of v is <-54,21>
The graph shows a probability distribution.
What is P(X < 3)?
Answers
Answer:
6/20 = 3/10 = 30%
Step-by-step explanation:
Would be grateful if I get help
Answers
[tex]\\ \sf\longmapsto 72^{\frac{3}{4}}[/tex]
[tex]\\ \sf\longmapsto 72^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]
[tex]\\ \sf\longmapsto 2.91+2.91+2.91[/tex]
[tex]\\ \sf\longmapsto 3.73[/tex]
help please I'll give brainliest
Answers
Answer:
35
Step-by-step explanation:
6:5
We need to get the first number to 43
6*7 = 42
Multiply each term by 7
6*7 : 5*7
42 : 35
If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line
segment AB are:
Answers
Answer:
( .5x+13.5, 1.5y)
Step-by-step explanation:
To find the coordinates of the midpoint, add the endpoints and divide by 2
(x+ 27)/2 = x/2 + 13.5
(y+2y)/2 = 3y/2 = 1.5y
factorise the expression 6x²y + 15xy²
Answers
graph the solution of this inequality: 4/9 x- 10 > x/3-12
Answers
Answer:
7
Step-by-step explanation:
Solve the inequality: (x −3)12+ 2 ≥4
Question 14 options:
A)
x ≥ 35
B)
x ≥ 13
C)
x ≥ 11
D)
x ≥ 7
Answers
Answer:
Its c
Step-by-step explanation:
True or false? Any two points are collinear and coplanar
Answers
Answer:
True
Step-by-step explanation:
Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. ... Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar.
Write a function rule for table
Is it a, b, c or d?
Answers
Answer:
A
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
Full working out for this question please.
Answers
Answer:
d 28.8cm2
Step-by-step explanation:
1/2BH
1/2() 12.8() 4.5
28.8
2. Write down the supplementary angle of each of the following angles are 105 degree.
Answers
Answer:
75
Step-by-step explanation:
Answer:
75°Step-by-step explanation:
Supplementary angles add up to 180°.
The angle x, supplementary with 105°:
x + 105° = 180°x = 180° - 105°x = 75°pls help i need to finish this asap !!
Answers
Answer:
b = -3
Step-by-step explanation:
Using the graph, when x=2
y = -3
HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM
Answers
Using Pythagorean thereon
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]
[tex]\\ \Large\sf\longmapsto P^2=45[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]
[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]
The dot plot below represents this set of data:
8, 7, 5, 5, 4, 2, 3, 3, 4, 6, 5, 4, 5, 5
Answers
Answer:
False
Step-by-step explanation:
There isnt two eights
Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya. How old is Elliot now?
Answers
Answer:
Step-by-step explanation:
To solve this, we are going to make an age table:
Age Now Age 10 years ago
Tanya
Elliot
Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:
Age Now Age 10 years ago
Tanya x
Elliot 2x
Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:
Age Now Age 10 years ago
Tanya x x - 10
Elliot 2x 2x - 10
Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:
10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:
2x - 10 = 4(x - 10) and
2x - 10 = 4x - 40 and
-2x = -30 so
x = 15. That means that Elliot is 30 and Tanya is 15
Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?
Answers
Answer:
{1, 0, 16}
Step-by-step explanation:
given..
j(x) = x^2-2x+1
put all given values of domain (1,0 and 5 ) in the equation..
the values you get are range of the function
Answer: 1
Step-by-step explanation
0(2)-2(0)+1=0+0+1= 1
1(1)-(2)(1)+1=1-2+1= 1
(5)(2)-(2)(5)+1=10-10+1= 1
What
is the value of In e^4
Answers
Answer:
[tex]\displaystyle lne^4 = 4[/tex]
General Formulas and Concepts:
Algebra II
Natural Logarithms ln and Euler's number e
Logarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle lne^4[/tex]
Step 2: Evaluate
Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 4lne[/tex]Simplify: [tex]\displaystyle 4(1)[/tex]the sum of four consecutive even numbers is 1052. find these numbers
Answers
Answer:
Answer is down below.
Step-by-step explanation:
To find the answer, we will have to use basic Algebra in order to view the solution.
Let the first number be = x
Let the second number be = x+2
Let the third number be= x+4
Let the fourth number be= x+6
(We did the x+ part because consecutive means following continuously..)
Now let's put the equation:
x+x+2+x+4+x+6 = 1052
Let's add all the variables and numbers separately in order to simplify:
4x+12 = 1052
Subtract 12 on both sides.
4x = 1040
Divide 4 on both sides
x = 260
Now, we know the value of x. Let's put it in our numbers.
Let the first number be = x = 260
Let the second number be = x+2 = 262
Let the third number be= x+4 = 264
Let the fourth number be+ x+6 = 266
Now, let's double check to see if our answers are correct.
260+262+264+266 = 1052
Valla! They are.
Hope this Helps! Please Mark Brainliest!
Answer : 260,262, 264 & 266
Let the four consecutive even numbers be:
(X), (X+2), (X+4), (X+6)
Their sum is 1052.
(X) + (X+2) + (X+4) + (X+6) = 1052
Expanding
4X + 12 = 1052
4X = (1052 - 12) = 1040
X = 260
(X+2) = 260+2 = 262
( X+ 4) = 260 + 4 = 264
(X+6) = 260+6 = 266
Determine the LCM of the following monomials listed below.
Answers
[tex]\boxed{\sf 60x^6y^4}[/tex]
Option d is correctA plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.
Answers
Answer: [tex]\dfrac{8}{3}\ m[/tex]
Step-by-step explanation:
Given
Length of the plank is [tex]6\ m[/tex]
Foot of the flank is [tex]4\ m[/tex] away from the wall
Lizard climbs 2 m up the wall
from the figure, the two triangles are similar
[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]
So, the distance from the wall is
[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]
( 1,-2), gradient = -3
Answers
Answer:
if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)
y+2=-3(x-1)
y+2=-3x+3
y= -3x+3-2
y -3x+1
hope this helps
Answer:
y = -3x + 1
Step-by-step explanation:
(y -(-2)) = -3(x-1)
y+ 2 = -3x+ 3
y = -3x + 1
Consider the formula for the slope between two coordinate points, m, shown below.
Answers
Answer:
D
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m(x2-x1)= y2-y1
y2= m(x2-x1) + y1
classmate DAN sual For madenaldy asymmetrical distribution, the arithmetic mean 28 and the median = 25. Find modo of this dish button Sekulin
Answers
We know
[tex]\boxed{\sf M_o=3M_d-2M}[/tex]
[tex]\\ \sf\longmapsto M_o=3(25)-2(28)[/tex]
[tex]\\ \sf\longmapsto M_o=75-56[/tex]
[tex]\\ \sf\longmapsto M_o=19[/tex]
HELP QUICK
Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?
Answers
Answer:
0.002 seconds
Step-by-step explanation:
Wave period = Wavelength/Velocity
Period = 6/3,000
Period = 0.002 seconds
What is the solution set to this equation?
log_4(x + 3) + log_4x = 1
Answers
Answer:
x=1
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
We know that loga(b) + loga(c) = loga(bc)
log_4(x + 3)x = 1
Raise each side to the base of 4
4^log_4(x + 3)x = 4^1
(x+3)x = 4
x^2 +3x = 4
Subtract 4 from each side
x^2 +3x -4 = 0
Factor
(x+4) (x-1) =0
Using the zero product property
x= -4 x=1
But x cannot be negative since logs cannot be negative
x=1
Answer:
A.. x = 1.
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
log_4 x(x + 3) = log_4 4
Removing the logs:
x(x + 3) = 4
x^2 + 3x - 4 = 0
(x + 4)(x - 1) = 0
x = 1, -4.
We can ignore the -4 as there is no log of a negative.
tìm nghiệm của đa thức 2x² + 5x
Answers
Answer:
this is this because of PTI
Step-by-step explanation:
pto explain it to me on Monday and Friday Saturday morning
Answer:
[tex]2x^2+5x[/tex]
[tex]=2xx+5x[/tex]
[tex]=x\left(2x+5\right)[/tex]
Hope it helps u
-URGENT- please helppp-
Answers
Answer:
Last option. She didn't use the reciprocal.
Answer:
The second, third, and fourth
Step-by-step explanation:
When you multiply two fractions, you multiply the numerator and denominator, not add them. Also, when you divide by a fraction and want to turn it into multiplication, you multiply by the reciprocal, which she didn't do. Hope this helps!
ANSWERRRR IF UR COOL!! Plssss ILL MARK BRAINLEST Ty!!! So much ilyyyyyyy
Answers
Answer number 3. Since it's obvious in the picture.
Answer:
-2 and -1
Step-by-step explanation:
Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous
