Answer:
d = [tex]\sqrt{26}[/tex] or d = 5.1
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]
. Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?
Answer:
She needs to measure the length of the diagonal and two sides of the frame. Then she needs to find the square of each measure. If the sum of the squares of the two smaller sides equals the square of the diagonal, then she created a right triangle.
Step-by-step explanation:
edg 2022
The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of
Answer:
45°
Step-by-step explanation:
A and B are Alternate exterior angles and congruent, thus
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Thus
∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
Talia has a square framed moving box with an area of 16 square feet. The cube shaped box has a volume of 66 cubic feet. Will the poster lie flat in the box?
Answer:
4,4,64,larger,larger,would
Step-by-step explanation:
Begin by finding the dimensions of the poster. Since it is in the shape of a square, each edge will be the same length. and 16 divided by 4 is 4 and then you do 16 x 4 you get 64 and then you know is the box larger or not in this case the box is larger.
The number of calories consumed from an apple is directly proportional to the number of apples eaten. If 4 apples contain 380 total calories, how many apples would you have to eat to reach a total of 1,045 calories?
Answer:
Step-by-step explanation:
The direct proportion equation is y = kx which reads, "y is directly proportional to x". k is the constant of proportionality. In our case, we read this is as, "the number of calories is directly proportional to the number of apples eaten." Our equation would look like c = ka. We first are given that a = 4 and = 380. We will use that to solve for k:
380 = k4 so
k = 95. Now that know the value of k, we will use that along with the number of calories (1045) to find the number of apples, a:
1045 = 95a so
a = 11
This means that it will be 11 apples that contain 1045 calories.
Suppose S is between R and T. Use the Segment Addition Postulate to solve for the variable. Round to three decimal places. RS = 9y − 2 ST = y + 7 RT = 26
Answer:
The variable y = 2.100
Step-by-step explanation:
Here, we are told to solve for the variable y.
We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;
XZ = XY + YZ
Now, we have that S is between R and T.
Mathematically that means;
RT = RS + ST
from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7
Now, insert these values into the alphabetical equation;
26 = (9y-2) + (y + 7)
26 = 9y-2 + y + 7
26 = 9y+y -2 + 7
26 = 10y + 5
26-5 = 10y
10y = 21
y = 21/10
y = 2.1
Which is y = 2.100 to three decimal places
evaluate ( r - s ) 3 t r 2 r =-3 s=-4
Answer:
-9t
Step-by-step explanation:
(r-s) 3 × t × r
(-3- -4) 3 × t × -3
3 × t × -3
-9t
Do two points always, sometimes, or never determine a line? Explain.
Answer: sometimes
explanation:
if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.
Answer:
Always
Step-by-step explanation:
If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b
Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)
Answer:
(14,0)
Step-by-step explanation:
slope 10/5 or 2
A teacher would like to study how students' seating locations in the classroom affects their test scores. If he were
creating an experiment, which of the following are part of an appropriate experiment? SELECT ALL THAT APPLY.
A)He would choose a random sample of students from all of his classes to collect data,
B) He would track the test scores of certain students in their current seat locations, then move their seats and continue to track their
test scores
C) He would record students' test scores as well as their seat locations,
D) At the end of the study, he would conclude causation,
E) He would follow one student's test scores and keep her seat the same the entire semester
Answer:
B, C, D, maybe A
Step-by-step explanation:
The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.
Answer:
66.9
Step-by-step explanation:
Answer:
[tex]\boxed {\tt 66.9 \ inches}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]c=2.54n[/tex]
where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.
We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]
[tex]170=2.54n[/tex]
We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.
[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54
[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]
[tex]\frac{170}{2.54}=n[/tex]
[tex]66.9291339=n[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.
[tex]66.9 \approx n[/tex]
[tex]n \approx 66.9 \ inches[/tex]
Henry is about 66.9 inches tall.
It just says to solve for n, anyone able to help me? :,)
Answer:
n=4
Step-by-step explanation:
n+5{n-2}=14
n+5n-10=14
6n-10=14
+10 +10
6n=24
6/6=1
24/6=
n=4
the smallest number by which 28 should be multiplied so as to get a perfect square is
Answer:
7.
Step-by-step explanation:
28 = 2^2 * 7.
To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.
What is the image of the point (-5,4) after a rotation of 270° counterclockwise
about the origin?
Answer:
A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:45.. good luck:)
Step-by-step explanation:
It’s d .... you do length times width times height
PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK
Answer:
45
Step-by-step explanation:
If you just take the length (3)
and the width (5)
and multiply them it'll give you 15
then multiply that by the height(3)
and thats how you get 45!
which shapes are congruent to shape I in question 1
Answer:
Step-by-step explanation:
sample answer:
Shapes II, IV, and V are all congruent to shape I.
graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.
A. (2.5, 2.2)
B. (-2.5, 2.2)
C. (0, 3.2)
D. (3.2, 0)
Answer:
B
Step-by-step explanation:
no explanation.......
Answer:
(-2.5,2.2)
Step-by-step explanation:
- 11r+3= - 41
Please
Answer:
R=4
Step-by-step explanation:
X if 1/3 of x is 14 Please help!bb
Answer:
Step-by-step explanation:
x/3 = 14
x = 42
Domain:
I need the domain
Answer:
Domain:The set of possible input values (using the “x” variable), which produce an output from a function.
Step-by-step explanation:
have a great day :)
how long is 46.287 minutes
Answer:
0.77145 hours it is also 2777.22 seconds
Step-by-step explanation:
5x - 8x + 9 = 2x + 39
Answer:
pliz send me the formula, only dsn I can solve your answer
Cuánto es (-12) - 21 =
Explicación del pq da a ese resultado, por favor.
Answer:
the answer is -33 srry couldn't explain :(
Answer:
Step-by-step explanation:
(-12)-21= -33. Tienes q sumar porque son del mismo signo y se queda con el signo de negativo por que ambos números son negativos.
A student is trying to find the sum of 5/6 + 3/4 + 1/5 They first tried to use 24 as a common denominator. Why does 24 not work as a common denominator?
Answer:
24 does not work as a common denominator because it is not the Lowest Common Multiple of 6, 4 and 5.
Step-by-step explanation:
In that above question, we are told that:
A student is trying to find the sum of 5/6 + 3/4 + 1/5
Step 1
The first step would be to find the Lowest Common Multiple of the denominators (6, 4, 5).
Lowest Common Multiple can be defined as the number that is the lowest quantity of the multiple of 2 or 3 number.
The lowest common multiple for 6, 4, 5 = 60. This is that number that the 3 denominators can be divided in
Hence,
5/6 + 3/4 + 1/5
= 5 × 10 + 3 × 15 + 12× 1/60
= 50 + 45 + 12/60
= 107/60
= 1 47/60
24 does not work because it is not the Lowest Common Multiple of 6, 4 and 5.
The lowest common multiple for the 3 denominators = 60, therefore 60 should be used.
Witch three values are equivalent to 3/8?
62.5%
0.375
1/4
6/16
3.75%
50%
37.5%
3.75
Answer:
0.375
6/16
37.5%
Step-by-step explanation:
Can't be above 50% because that would be 4/8, which rules out 62.5%, 50%, and 3.75, and 3.75% is super low, which leaves 4 answers, but 1/4 doesn't equal any of the others. Also, 3/8 x 2 is 6/8, and 0.375 = 37.5%
Select the figure
Two line segments that both have a midpoint at point M.
Answer:
B
Step-by-step explanation:
a midpoint is halfway through. so if both lines are split in half by point m then it's right. b looks right to me but if it looks different to you, go with your gut
Please help me simplify the following expression
Answer:
= x^3y /2
Step-by-step explanation:
If you need an explanation, I can't give you one sorry. It's one of those things i can do but not the best at explaining lol
What is the slope for y=3x-4? What is the y-intercept for y=3x-4?
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation of the line is
y = 3x - 4
Comparing with the general equation above
The slope /m = 3
The y intercept / c = - 4
Hope this helps you
PLEASE HELP, BEST ANSWER GETS BRAINIEST Each letter of the word "RESPONSIBLE" is written on a separate slip of paper and placed in a hat. 1) What is the probability of choosing an E? 2) What is the probability of choose an "E" and then an "R" without replacing the letter? Write as a fraction
Answer:
1) 2/11
2) 2/121
Step-by-step explanation:
1. Because there are 2 E's, you have to chances out of your 11 changes, thus why the fraction 2/11 is the solution.
2. You know that 2/11 is the first fraction, so now find R. R has a 1/11 chance of getting chosen, so you multiply 2/11 and 1/11 to get 2/121.
Answer:
1) 2/11
2) 2/121
Step-by-step explanation:
Given f(x) = 4(x - 8), determine the value of f(10).
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
8 because you would replace the x with 10. f= 4((10) - 8)
How to evaluate a piecewise function ?
Answer:
So it's going to be 3 times 2 minus 8 3 times 2 is 6 6 minus 8 is negative 2 and that's the answer.
Step-by-step explanation: