Answer:
1. (52 - 2) (1 + 1) = 1002. (12 - 2) (9 + 1) = 1003. (6 - 2) (24 + 1) = 1004. (3 - 2) (99 + 1) = 1005. (102 - 2) (0 + 1) = 100Step-by-step explanation:
1. let r= 52 and s= 1(52 - 2) (1 + 1) = 10050 × 2 = 1002. let r= 12 and s= 9(12 - 2) (9 + 1) = 10010 × 10 = 1003. let r= 6 and s= 24(6 - 2) (24 + 1) = 1004 × 25 = 1004. let r= 3 and s= 99(3 - 2) (99 + 1) = 1001 × 100 = 1005. let r= 102 and s= 0(102 - 2) (0 + 1) = 100100 × 1 = 100[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Prove that angle ADC is congruent to angle CBA
with solution!
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
Which inequality is graphed on the coordinate plane shown?
A
y≥2x−6
B
y<2x−6
C
y>2x−6
D
y≤2x−6
Answer:
y ≤ 2x-6
Step-by-step explanation:
First find the equation of the line
The y intercept is -6
The slope is 2
y = 2x-6
The line graphed is solid so we know that there is an equal sign
We are graphing below the line
y ≤ 2x-6
On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.
Answer:
That is the graph for y = -|x| + 3
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answer:
Domain is the whole R and the range is R+. The domain is continuous
in angle PQR, angleQ=70 angle R=45 then angleP=.....
Answer:
65
Step-by-step explanation:
Because its a triangle,
P + Q + R = 180
So,
P + 70 + 45 = 180
P + 115 = 180
Subtract 115 on both sides
P = 65
lilly just paid off a 400$ loan. she had to pay 60 in interest at a simple annual interest rate of 5%. how many years did lily have this loan?
•A.) 2
•B.) 3
•C.) 4.5
•D.) 5
Answer:
B.) 3
Step-by-step explanation:
Interest = prinipical ^ interest rate ^ year
60 = 400 ^ 5% ^ year
year = 60/400^5%
3years
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet, 18 feet, and 14 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 5 feet long, how long is the 2nd longest side on quadrilateral EFGH?
A. 9.2 feet
B. 6.4 feet
C. 11.7 feet
D. 7.7 feet
Answer:
7.7 ft
Step-by-step explanation:
The third longest side is also the second shortest side.
The 14 ft side of quadrilateral ABCD corresponds to the 6 ft side of quadrilateral EFGH.
14/6 = 18/x
7/3 = 18/x
7x = 18 * 3
7x = 54
x = 54/7
x = 7.7
Answer: D. 7.7 feet
Answer:
Step-by-step explanation:
7.7
Rihanna works in a coffee shop approximately nine miles from her apartment She bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. However, on her way to work, she always stops halfway through to meet her best friend at a park. If the distance from apartment to the park is (5x +2) miles and the trip from the park to the coffee shop is (25x -8) miles long, then what is the value of x?
Answer:
x = 0.5
Step-by-step explanation:
When we add up the distance between the apartment and park with the distance between the park and the coffee shop, the total will equal nine miles.
Our equation will look like this:
(5x + 2) + (25x - 8) = 9
Add up the like terms
5x + 2 + 25x - 8 = 9
30x - 6 = 9
Add 6 to both sides
30x - 6 = 9
+ 6 + 6
30x = 15
Divide both sides by the coefficient, 30, to isolate the variable, x
30x/30 = 15/30
x = 15/30
Reduce
x = 1/2
A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.
____feet squared
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC = DEF?
Check all that apply.
A. AAS
B. LA
С. НА
D. HL
E. SAS
F. SSS
Answer:
D, F, E
Step-by-step explanation:
As the legs and hypotenuse are equal, HL can be used. All the sides are equal so SSS can be used. Two pair of sides and 90 degrees are equal so SAS can be used
Problem
Write the slope of the line containing each pair of points.
1. (3,4) and (5,7)
Answer:
3/2
Step-by-step explanation:
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.
going from (3, 4) to (5, 7) changes x by +2 and y by +3.
so, the slope of the line is 3/2
can someone help me please.
Answer:
A. 11.18
Step-by-step explanation:
(1, -2) will be x1 and y1.
(-9, 3) will be x2 and y2
The formula is
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute in all the variables.
[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]
Solve.
[tex]\sqrt{(-10)^2+5^2}[/tex]
[tex]\sqrt{100+25}[/tex]
[tex]5\sqrt{5}[/tex]
11.18033988.....
I hope this helps!
pls ❤ and mark brainliest pls!
Believe this is worth 7 pts please help!
Answer:
-12
Step-by-step explanation:
The average rate of change is found by
f(4) - f(2)
---------------
4-2
32 - 56
----------
4-2
-24
------
2
-12
Find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104 m.
Answer:
l=30
or
22 it is the coret anser
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 832 units²
Step-by-step explanation:
l = 8
w = 7
h = 24
Surface area = 2(wl+hl+hw)
=2×(7×8+24×8+24×7)
=832 units²
Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!
solve it please. Just wanted to check my drawing skill but please solve it
Answer:
Step-by-step explanation:
I'm assuming that strange looking thing is a 9, so begin by multiplying both sides by that denominator to get:
[tex]x-9=\sqrt{x}+3[/tex] then subtract 3 from both sides to get
[tex]x-12=\sqrt{x}[/tex] and then square both sides to get
[tex]x^2-24x+144=x[/tex] and get everything on one side to solve for x by factoring:
[tex]x^2-25x+144=0[/tex] and factor that however it is you have learned to factor second-degree polynomials to get that
x = 16 and x = 9. We have to check for extraneous solutions because anytime you manipulate an equation, as we did by squaring both sides, you run the risk of these solutions that actually don't work when you plug them back into the original equation. Let's try 16 first:
[tex]\frac{16-9}{\sqrt{16}+3 }=1[/tex] If 16 is a solution, then this statement will be mathematically true.
[tex]\frac{7}{4+3}=1[/tex] and [tex]\frac{7}{7}=1[/tex] so 16 works. Let's try 9:
[tex]\frac{9-9}{\sqrt{9}+3 }=1[/tex] We know that one doesn't work, because 9-9 = 0 and 0 over anything = 0, not 1.
x = 16 is the only solution.
Answer:
x = 16
Step-by-step explanation:
[tex]\frac{x-9}{\sqrt{x}+3}=1[/tex]
Cross multiply,
x - 9 = √x + 3
Subtract 3 from both sides
x - 9 - 3 = √x
x - 12 = √x
Square both sides
(x -12)² = (√x)²
x² - 2 * x*12 + 12² = x
x² - 24x + 144 = x
x² - 24x + 144 - x = 0
x² - 25x + 144 = 0
Sum = -25
Product = 144
Factors = -9 , -16 {(-9)+(-16) = -25 & (-)*(-16) = 144}
x² - 25x + 144 = 0
x² - 16x - 9x + (-9)*(-16) = 0
x(x - 16) - 9(x - 16) = 0
(x - 16) (x - 9) = 0
x - 16 = 0 ; x - 9 = 0
x = 16 ; x = 9
x = 9 is an extraneous solution.
When we plug in 9 in the LHS of the equation,
LHS = [tex]\frac{9-9}{\sqrt{9}+3}[/tex]
[tex]= \frac{0}{3+3}[/tex]
= 0 ≠ RHS
So, x = 16 is the only solution
In the last 6 days, Laura has
jogged 39 miles. At what rate did
Laura jog each day?
A: 234 miles per day
B: 33 miles per day
C: 6.5 miles per day
D: 0.15 miles per day
Answer:
6.5 miles per day
Step-by-step explanation:
Take the number of miles and divide by the number of days
39 miles/ 6 days
6.5 miles per day
Answer: 6.5 miles per day is correct
Step-by-step explanation:
You would just need to divide 39 by 6 to find the total miles per day. Therefore C: 6.5 is correct!
A
A 30 m high pillar has been broken 10 m above from the ground. The tip of the broken part makes an angle of ...........with the ground
Please help with number 8. And if you can explain how you got the answer please do and I’ll give brainliest
Answer:
X=7.9
Y=7.9
Step-by-step explanation:
We have that x=y
And form Pythagoras theorem we have
[tex]5 \sqrt{5} = \sqrt{x ^{2} + x ^{2} } \\ take \: the \: square \: of \: the \: two \: sides \\ 125 = 2x ^{2} \\ x {}^{2} = 62.5 \\ x = 7.9[/tex]
So x = y = 7.9
Change 300mm into cm
Answer:
30 centimeters
Step-by-step explanation:
true
Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?
a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.
b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.
d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.
Answer: Option B
She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.
Must click thanks and mark brainliest
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!
Answer:
97
Step-by-step explanation:
Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.
5x + 17 = 8x - 31
Now simply just solve for "x"
5x + 17 = 8x - 31
5x + 48 = 8x
48 = 3x
48/3 = 3x/3
16 = x
Once you get x, plug it into the equation "RS = 5x + 17"
5(16) + 17
80 + 17
97, which is our final answer.
Derek walks to his best friends house at a rate of 1 block per minute, then turns around and walks home. The graph shows the distance Derek walks in the given amount of time. Write an equation for the graph.
In this question, we have to find an equation for two lines, depending on the input x, which creates the following piecewise function for this graph:
[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]
Equation of a line:
The equation of a line is given by:
[tex]y = mt + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
This situation:
One line for x between 0 and 10;Another for x between 10 and 20;x between 0 and 10:
From here, we can take two points (t,y). I will take (0,0) and (10,10).
From point (0,0), we get that when [tex]x = 0, y = 0[/tex], which means that the y-intercept is [tex]b = 0[/tex], thus:
[tex]y_1 = mt[/tex]
To find the slope, when we have two points, it is given by change in y divided by change in t, so:
Change in t: 10 - 0 = 10
Change in y: 10 - 0 = 10
Slope: [tex]m = \frac{10}{10} = 1[/tex]
Thus, the first definition is:
[tex]y_1 = t, 0 \leq t < 10[/tex]
x between 10 and 20:
I will take the points (10,10) and (20,0).
First, we find the slope:
Change in t: 20 - 10 = 10
Change in y: 0 - 10 = -10
Slope: [tex]m = \frac{-10}{10} = -1[/tex]
Thus:
[tex]y_2 = -t + b[/tex]
For the intercept, we have point (20,0), which means that when [tex]t = 20, y = 0[/tex]. So
[tex]0 = -20 + b[/tex]
[tex]b = 20[/tex]
Thus, the second definition is:
[tex]y_2 = -t + 20, 10 \leq t \leq 20[/tex]
Write an equation for the graph.
We use the two definitions, that is:
[tex]y = y_1, 0 \leq t \leq 10, y_2, 10 \leq t \leq 20[/tex]
So
[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]
A similar question can be found at https://brainly.com/question/16024991
What is five ones and eight tenths greater than or less than or equal to fifty eight tenths
Answer:
definetely 2
Step-by-step explanation:
Answer:
Less than
Step-by-step explanation:
Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.
Hope this helps! :)
I WILL GIVE BRAINLIEST!! plz no links
9) Simplify.
Answer:
root 3/4
Step-by-step explanation:
if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?
Answer:
It's going to take you 17 min to travel 12 miles
assuming you are going with mph
Step-by-step explanation:
I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.
What is -3/4+2 3/4?
1.3 1/2
2.3 3/4
3.2/ 1/2
4. 2
Answer:
[tex]2[/tex]
4th Answer is Correct
Step-by-step explanation:
[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]
i need help again.lol
Answer:
[tex]13\ units[/tex]
Step-by-step explanation:
One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:
[tex]k\ (-3,5)[/tex]
[tex]j\ (-8, -7)[/tex]
Substitute these points into the formula and solve for the distance between these points,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
Simplify,
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]
[tex]D=\sqrt{(5)^2+(12)^2[/tex]
[tex]D=\sqrt{25+144}[/tex]
[tex]D=\sqrt{169}[/tex]
[tex]D=13[/tex]
[tex](32)^{1/5}[/tex]
Answer:
2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]
[tex] = \sqrt[5]{32} [/tex]
[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]
= 2 (Ans)
please help! need the answers in order to move on:) will give brainliest to correct answer!
