Hello,
the line passing through (5,2) and (1,0) has for equation:
y-0=(x-1)*(-2)/(-4) or y=x/2-0.5
if y= 5 then 5=x/2-0.5 ==> 5.5=x/2 ==> x=11
Answer C
Answer:
C
Step-by-step explanation:
Since the points lie on the same line then the slope between consecutive points will be the same.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (1, 0)
m = [tex]\frac{0-2}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Calculate the slope again and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (a, 5)
m = [tex]\frac{5-0}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] , so
[tex]\frac{5}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
a - 1 = 10 ( add 1 to both sides )
a = 11
Given: ABCD is a parallelogram.
Prove: ∠A and ∠D are supplementary.
Parallelogram A B C D is shown.
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer:
AB = DC So ∠A and ∠D are bigger then 90%
Answer:
E2020
Step-by-step explanation:
which choice is equivalent to the expression below when x less than or equal to 0
Answer:
b
Step-by-step explanation:
I need help pls !!!!!!!
How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows
Answer:
2850
Step-by-step explanation:
1+2+3+4+5+6+7...74+75
just add up all the numbers from 1 to 75
Please help me w the answer
Answer:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:
[tex]\frac{()}{(x-4)(x-5)}[/tex]
The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled
[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
Answer:
f=x−32
Step-by-step explanation:
Subtract 3232 from both sides.
Answer:
f=32.2m
Step-by-step explanation:
got it right on edge
if each square is 2cm long then the perimeter is
Answer:
for each square the perimeter would be length times width. so 2x2 =4
Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.
help I need help with my homework no link please BTW its 9th grade work I need help with number 1 a) I still need help with it
Answer:
you need to learn how to "prime factor" numbers....
primes are 2,3,5,7,11,13,17....
they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.
take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...
15 = 3 * 5
24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6
thus [tex]\frac{15}{24}[/tex] = [tex]\frac{3 * 5 }{2* 2* 2* 3}[/tex] now just cancel all the SAME numbers from to to bottom
"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top
result [tex]\frac{5}{2*2*2 } = \frac{5}{8}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\frac{21}{35}[/tex]
21= 3 * 7
35= 5* 7
[tex]\frac{3*7}{5*7} = \frac{3}{5}[/tex]
Step-by-step explanation:
HOW TO I REMEMEBER MULTIPLICATION (I NEVER PAYED ATTENTION IN MATH LOL) AND I CANT SEEM TO REMEMEBER IT :(
I NEED TO REMEMBER 1-12
A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)
Answer:
20 children
Step-by-step explanation:
We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.
Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.
Answer:
20 childrenyjvvvvggguggggyg
line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3
Answer:
105
Step-by-step explanation:
l is parallel m so angle 3+angle 6=180
Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the angle A and B.
Answer:
A = 58
B = 112
Step-by-step explanation:
A + B = 180 Supplementary angles
B = 2A - 24 Given
Substitute for B in the first equation
A + 2A - 24 = 180
3A - 24 = 180 Add 24 to both sides
3A = 180 + 24 Combine the right
3A = 204 Divide both sides by 3
A = 204/3
A = 68
B = 2A - 24
B = 2*68 - 24
B = 136 - 24
B = 112
John finds that the sum of two numbers is 24 and their difference is one sixth of the
sum. Find the smallest number between the two numbers.
Given:
The sum of two numbers is 24 and their difference is one sixth of the sum.
To find:
The smaller number between the two numbers.
Solution:
Let x and y be the two numbers where x>y.
The sum of two numbers is 24.
[tex]x+y=24[/tex] ...(i)
Their difference is one sixth of the sum.
[tex]x-y=\dfrac{1}{6}\times 24[/tex]
[tex]x-y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2x=28[/tex]
[tex]x=\dfrac{28}{2}[/tex]
[tex]x=14[/tex]
Putting [tex]x=14[/tex] in (i), we get
[tex]14+y=24[/tex]
[tex]y=24-14[/tex]
[tex]y=10[/tex]
The two numbers are 14 and 10.
Therefore, the smaller number between the two numbers is 10.
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20
Answer:
5% = 1/20
15% = 3/20
6.5% = 0.065
25% = 0.25
7% = 0.07
Step-by-step explanation:
I hope this helps! Just ask me if you have any questions.
Have a nice dayy! :)
Answer:
.05 25% .15 7% .065 100% 2000% .25
Step-by-step explanation:
Percentages to decimals :
example
5% = .05
First remove the % sign: 5
Where is the decimal? Here : 5.00
Now move the decimal to the left two places. Fill the gaps with zeros : .05
Another way to do it is by divide the number by 100. Use a calculator if necessary.
Example 2: 6.5%
Move decimal two places to left: .065
Example 3: .56%
Move decimal to places to the left: .0056
Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.
Example: .25 becomes 25%
.07 becomes 07% or just 7%
Someone please help me with this algebra problem
Step-by-step explanation:
8.4 is the ans
4x+8y=40
4x + 6.4=40
4x=40-6.4
4x=33.6
x=33.6÷4
x=8.4
Answer:
4x+8y=40
4x+(8+0.8)=40
4x+6.4=40
4x+6.4-6.4 =40-6.4
4x=33.6
4x÷4=33.6÷4
X=8.4
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
Which one of the following groups would be unbiased when asked, “What is your favorite kind of pizza?”
Group of answer choices
health & fitness fanatics leaving the gym
guests leaving a gourmet pizza restaurant
kids at the playground
families attending a sporting event
Answer:
kids at playground
children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best
Find the measure of the missing angle using the triangle angle sum theorm
Answer:
31°
Step-by-step explanation:
The theorem states that all angle sums of any triangle add up to 180°.
128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.
The diagram is not drawn to scale
Find the value of x to the nearest tenth.
Options:
A: 25.0
B: 16.0
C: 9.0
D: 17.3
Answer:
3x-2 = 25 3x = 25+2 3x = 27 x =9the answer is option cSubtract 11.485-18.38
Answer:
-6.895
Step-by-step explanation:
11.485
-18.38
______
-6.895
What is the answer to this question?
Answer:
yeah,I think it's 16 ...
Find the center and radius of the circle. Help !!
Answer:
the center is -1,1 and the radius is 4 i think
Step-by-step explanation:
( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
10 friends can go to the amusement park
Step-by-step explanation:
214.25 = 6.75 + 20.75x
207.50 = 20.75x
x = 10 friends can go
I need help with my math work!!!!!!
Answer:
The answer is the first one
Step-by-step explanation:
A man borrows $800 for 2 years at a simple interest rate of 20%. What is the total amount that must be repaid
Answer: [tex]\$1120[/tex]
Step-by-step explanation:
Given
Man borrows $800 for 2 years
Rate of interest is R=20%
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Insert the values
[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]
So, total payable amount is
[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]
The inequality x ≤ -8 would represent which of the following values?
{8, 5, 0}
{-6, -7, -8}
{-10, -9, -8}
None of these choices are correct.
Answer:
{-10. -9, -8}
Step-by-step explanation:
x ≤ -8 would be all values of x less than or equal to -8
x = -8, -9, -10
HELP ME PLZ!!
-x - 1 = 221 + 2x
Answer:
[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]
[tex]-x-1+1=221+2x+1[/tex][tex]-x=2x+222[/tex][tex]-x-2x=2x+222-2x[/tex][tex]-3x=222[/tex][tex]\frac{-3x}{-3}=\frac{222}{-3}[/tex][tex]\hookrightarrow Answer:x=-74[/tex]
-------------------------
hope it helps...
have a great day!!
The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3
Hello,
Answer B : -0.8=-0.8
[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]
The last line of the justification is –0.8 = –0.8
Solving equationsGiven the following equation
1.4n + 2 = 2n + 3.2.
Collect the like terms
1.4n - 2n = 3.2 - 2
Substitute n = -2 into the expression
1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8
Hence the last line of the justification is –0.8 = –0.8
Learn more on equation here: https://brainly.com/question/475711
#SPJ9