Given:
The slope of the line joining points (3,2) and (0,a) is -1.
To find:
The value of a.
Solution:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line joining points (3,2) and (0,a) is -1. So,
[tex]\dfrac{a-2}{0-3}=-1[/tex]
[tex]\dfrac{a-2}{-3}=-1[/tex]
Multiply both sides by -3.
[tex]a-2=-1(-3)[/tex]
[tex]a-2=3[/tex]
[tex]a=3+2[/tex]
[tex]a=5[/tex]
Therefore, the value of a is 5.
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?
Answer:
1
Step-by-step explanation:
A third of 3=1
3/3=1
which measurement is closest to the area of the shaded region in square inches
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
please answer this question
itss 11
Step-by-step explanation:
no worries about it is the same time for me
Convert. 2/3and 4/6 into like fraction
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
What is the greatest common factor (GCF) of 24 and 40?
Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40=2×2×2×5
24=2×2×2×3 then we take the common 2×2×2=8
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
Can someone please help me?
9514 1404 393
Answer:
x = 87°vertical anglesStep-by-step explanation:
The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.
As such, they are congruent, so x = 87°.
The ___________ of a numerical set of data is the value that occurs most frequently.
the amount of gas used by a household is shown in the table. what is the slope of the data from the table
Answer. i cant answer this without a pic of the slope
Step-by-step explanation:
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
What’s the answers to 15 and 16
An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour
How would you characterize the relationship between the hours spent on homework and the test scores
Answer:
sorry can'thelp
Step-by-step explanation:
Answer and explanation:
I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
Answer:
it is A because the shape is the same and is just facing a different way
Step-by-step explanation:
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.
Select the null hypothesis H0.
Group of answer choices
0=13
0=12.5
0<13
0>12.5
Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
522 m^2
Step-by-step explanation:
I've circles the numbers that you actually need to solve this problem.
First, find the area of the bigger rectangle by multiplying the length and width.
24*21=504
Then find the area of the smaller rectangle the same way
3*6=18
then add them to get the total area
504+18=522
522 m^2
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
Answer:
y=2
Step-by-step explanation:
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
find mHK please help
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40
Solve for the value of a
Answer:
a= 90 i think
hope this helped
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation: