Answer:
Yes
Step-by-step explanation:
A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.
Answer:
If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. Squares and rectangles always have four right angles!
Step-by-step explanation:
Solve using the substitution method. 3x +2y= 19 xy= 15
Answer:
when x = 3 1/3, y = 4.5
or
when x =3 , y = 5
Step-by-step explanation:
Here, we want to solve using substitution
xy = 15
let x = 15/y
Put this into the first equation;
3(15/y) + 2y = 19
45/y + 2y = 19
Multiply through by y
45 + 2y^2 = 19y
2y^2 -19y + 45 = 0
2y^2 - 10y - 9y + 45 = 0
2y(y-5) -9(y-5) = 0
(2y-9)(y-5) = 0
2y-9 = 0
or y-5 = 0
2y = 9 or y = 5
y = 9/2 or y = 5
y = 4.5 or y = 5
Recall;
x = 15/y
x = 15/4.5 or x = 15/5
x = 3 1/3 or x = 3
\begin{aligned} f(x)&=x^2 \\\\ g(x)&=(x - 6)^2 \end{aligned}
f(x)
g(x)
=x
2
=(x−6)
2
We can think of ggg as a translated (shifted) version of fff.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function ggg, shift fff
by
units.
Answer:
6.2
Step-by-step explanation:
khan
A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)
600ft³ will be the required volume
Volume of pyramidThe formula for calculating the volume of the rectangular prism is expressed as:
V = 1/3lwhGiven the following information
l = 10 feet
w = 15feet
h = 12 feet
Get the volume
V = 1/3(10 * 15 *12)
V = 1/3(1800ft³)
V = 600ft³
Hence 600ft³ will be the required volume
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please help, I need this answer today (2/10/2021)
w=yh−5t, for y
Answer:
y = w /h + 5 t/ h
i believe
Step-by-step explanation:
Answer:
Y= w/h + 5t/ h
Step-by-step explanation:
There's really not much to go off of here. So I just simply Isolated the variable. I hope this is what you were looking for.
Solve the system by graphing.
y=x+1
y=4x+7
The solution is ( , )
Answer:
(-2,-1)
Step-by-step explanation:
x+1=4x+7
3x=-6
x=-2.
y=-2+1
y=-1.
A newspaper article reports the results of an election between two candidates. The article says that Smith received 60% of the votes and that Murphy received 15 of the votes. A reader writes in to complain that the article cannot be accurate. What reason might the reader have to say this?
Step-by-step explanation:
Since, smith receives 60% of the vote this means murphy must receive 40% of the vote. Therefore 15 = 40% of the total vote.
Thus total vote = 37.5, which is kind of absurd. As total vote count must be an integer. Moreover, the report must be consistent with the result, which does not seem in this case.
look at the graph of a line and write its equation
T= 3x + 4y
Toe ons
(a) Work out the value of I when x = 5 and y=-7
Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?
Answer:
The possible coins are:
P = penny = $0.01
N = nickel = $0.05
D = dime = $0.10
Q = quarter = $0.25
H = half dollar = $0.50
We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)
Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X
We know that Adam has half as much money as Ben, this can be written as:
(A + B + C) = 3*X/2
The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.
For example, if X = $0.10
then:
(A + B + C) = $0.10*(3/2) = $0.15
We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.
if x = $0.50 then:
(A + B + C) = (3/2)*$0.50 = $0.75
Here we could have:
A = $0.50
B = $0.25
then: A + B = $0.75
But we still have the coin C.
If we take X = $0.25 then:
(A + B + C) = (3/2)*$0.25 = $0.375
We could round the right part to $0.40
then the coins in the left part would be:
A = $0.25
B = $0.10
C = $0.05
A + B + C = $0.25 + $0.10 + $0.05 = $0.40
This is a strech, but is the only thing we can make with the given problem.
Writh an equation of a line in slope-intercept form for the given conditions.
slope =2 and passes through (-5,2)
y=
Answer:
y=2x+12
Step-by-step explanation:
y-2=2(x-(-5))
y-2=2(x+5)
y-2=2x+10
y=2x+12
Solve the given equation. Check your solution and show all your work. 7/10 r = 4 3/5
(this is the last question i have on my test i swear)
Answer: R= 30.1
Step-by-step explanation: 10r = 7*43/1
10r= 301/1
10r= 301
10/10
R= 30.1
Use the GCF and the distributive property to find the sum of 22+33
Answer:
22 + 33 = 55 the GCF of 22 and 33 is 11
Step-by-step explanation:
The sum of 22 and 33 by using distributive property will be; 55.
How to find Greatest common factor?The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.
We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Factors:
22: 1 ,2, 11, 22
33: 1, 3, 11, 33
Both the numbers have a GCF of 11. Then by removing 11 from both numbers you end up with:
22 = 2 x 11
33 = 3 x 11
Now replace the values on the right of the equals sign into the original equation then;
(2 x 11) + ( 3 x 11)
The distributive property allows us to remove the common values and rewrite them;
11(2 + 3)
11(5)
55
The sum of 22 and 33 by using distributive property will be; 55.
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Find the value x
please help
Answer:
Step-by-step explanation:
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Julio gets paid $10.00 an hour to babysit his cousins 4 hours a week. He allows himself to spend $7.00 a week and he saves the rest. How much will he have saved in 5 weeks?
Answer:
$165.00
Step-by-step explanation:
Kayla has a weekly budget of $640. She works at a clothing store and makes $220 per week, plus 20% commission on the merchandise she sells to her customers.
Which of the following is the correct interpretation of the solution?
A. Kayla can sell $2,100 or less to reach her weekly budget
B. Kayla needs to sell $2,100 or more to reach her weekly budget
C. Kayla needs to sell more than $2,100 to reach her weekly budget
D. Kayla can sell less than $2,100 to reach her weekly budget
Answer:
i think it would be C, im not sure though
Step-by-step explanation:
(HELP FAST PLEASE)
Rodrigo scored 17 goals in 6 games. At this rate how many goals will he score in 4 games? Round your answer to the nearest whole number.
Answer:
I think of scoring 6 goal
Answer:
approximately 12
Step-by-step explanation:
17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12
mrs. rodrigues wants to compare the spread of the test scores of her two biology classes. which statistic should she use? (multiple choice)
a.) mean
b.) standard deviation
c.) median
d.) mode
if anybody can help me with this, thank you so much! i'm trying to pass a pre-test on e.d.g.e.n.u.i.t.y :( if you know the answer, please explain instead of just giving me the answer alone. thank you! <3
Mrs. Rodrigues should use Standard deviation.
The correct option is b.
What is a standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
Given:
Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes.
From the given choices:
The measures of spread include:
Range, quartiles, interquartile range, variance and standard deviation.
Standard deviation is the appropriate choice.
Therefore, standard deviation is the correct phrase.
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Which one represents the equivalent of the following expressions combined -2x² + 7x - 6 and 3x² - 8x – 1 ?
a. X²+X-7
b. X²+X-5
c. X²-X-7
d. X²-X-5
Answer:
C
Step-by-step explanation:
Adding we get:
-2x^2+3x^2 + 7x - 8x - 6 -1 = X^2 -x-7
A 10-meter ladder leans against the wall, it is 5 meters from the base of the wall. How high, h, does the ladder reach to the nearest tenth of a meter?
Answer:
did you figure out the answer because I need it please
is the relation a function?
3(x + 1) + 5(2x –5)–2(x –2)= 4
solve
Answer:
x=2
Step-by-step explanation:
3x+3+10x-25-2x+4=4
11x-18=4
11x=4+18
11x=22
x=22/11
x=2
Answer:
x = 2
Step-by-step explanation:
3(x + 1) + 5(2x –5)–2(x –2)= 4
First, let's distribute the numbers across the parentheses through multiplication.
3x + 3 + 10x - 25 - 2x + 4 = 4
Combine like terms.
11x - 18 = 4
Add 18 to both sides to isolate x.
11x = 22
Divide both sides by 11 to isolate x further.
x = 2
Check by plugging 2 back into the equation.
3(2 + 1) + 5(2(2) - 5) - 2(2 - 2) = 4
3(3) + 5(4 - 5) - 2(0) = 4
9 + 5(-1) - 0 = 4
9 - 5 = 4
4 = 4
Your answer is correct.
Hope this helps!
Find the recursive definition for this sequence
2,6,18,54,162
The two trapezoids below are similar. What is the length of EF?
Answer:
x/24 = 7.5/30
30x = 180
________
30
x= 6
The length of EF in given trapezoid is 6 cm
What is trapezoids ?Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. A trapezoid is a four-sided closed shape.
a pair of opposite sides are parallel.
diagonals of trapezium bisect each other.
sum of all four angles of trapezium is = 360°
it has four unequal sides.
diagonals are congruent.
opposite side of an isosceles trapezium are congruent.
According to the question
Trapezoids ABCD and EFGH are similar,
Hence, corresponding sides ratio are equal
Thus, AB/EF = DC/HG
24/x = 30/7.5
30x = 180
x = 180/30
x= 6
Hence, The length of EF is 6 cm
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Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group travels 2 miles south and 5 miles west.
a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp.
b. Determine the distance between the two groups after the hikes.
Question 2
The distance between the two groups is __ miles.
Answer:
can you answer my qeustion the first one please
What is The quotient of 16
and z minus 12?
Teresa has made 124 bags of treats. Each person was able to take 2 bags home. If there were 40 people, how many extra bags were left?
Answer:
31
Step-by-step explanation:
Answer:
the answer to your question would be 44
8x+10=9x+13 what’s X?
Answer:
The Correct Answer is -3
Step-by-step explanation:
Hope I Helps
7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
Answer:
181cm²
Step-by-step explanation:
Given
Radius of a circle = 7.6cm
Area of the circle = \pi r²
Substitute
Area of the circle = 3.14(7.6)²
Area of the circle = 3.14(57.76)
Area of the circle = 181.3664cm²
Area of the circle to 3sf is 181cm²
Find the area of the trapezoid