Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
Work out the area of triangle ABC.
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²
= 20 - 18 = 2 ( take square root of both sides )
BD = [tex]\sqrt{2}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²
Given h(x)=-x+5, solve for x when h(x)=3. PLEASE I NEED HELP ILL GIVE BRAINLIEST.
[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]
if cassey adds the following two equations, what multiple of the first equation will the sum represent?
x+y=5
2x+2y=10
A:2 B:3 C:4 D:5
Answer: 5
Step-by-step explanation:
please help me I'm not good at math :(
the options are:
exactly one real solution
infinitely many solutions
no real solution
two real solutions
Answer: No real solution.
Step-by-step explanation:
Since the parabola never crosses the x-axis, there are no real solutions.
fill in the table of values for y=2x+3
Answer:
2 4 2 y-3
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Yan po answer
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit
Answer:
25
Step-by-step explanation:
Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.
From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.
The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24Reasons:
The data in the table are presented as follows;
[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]
From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40
Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more = 1.15 × $161 = $185.15
Therefore;
The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24
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Answer:
$24 or D, Hope this helps :D
Step-by-step explanation:
how do I find the volume of this shape?
Answer:
length times witdth times height
The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)
Answer:
a. (10,10)
Step-by-step explanation:
This was by accident the first answer is right
solve: 3(2x+7) S 6(x-4)
Answer:
no solution
Step-by-step explanation:
3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3
2x + 7 ≤ 2(x - 4)
2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )
7 ≤ - 8 ← False statement
This means the inequality has no solution
helppp please needed before tomorrow!!!!!!!!!!
Answer:
The function is 200+50t (t= # of months)
Step-by-step explanation:
The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.
what is 7829 to the nearest 1000
Answer:
8000
Step-by-step explanation:
Since 8 is bigger than 5, you can increase it
7829 to the nearest ten: 7830
7829 to the nearest hundred: 7800
Hope this helps!
The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,7829
9 → unit place
2 → tens place
8 → hundred place
7 → thousand place
In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.
Since 829 > 500 so 7829 → 8000
Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".
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Solve the following systems of equations by substitution or graphing.
Answer:
Answer:
Speed of the wave in the string will be 3.2 m/sec
Explanation:
We have given frequency in the string fixed at both ends is 80 Hz
Distance between adjacent antipodes is 20 cm
We know that distance between two adjacent anti nodes is equal to half of the wavelength
So \frac{\lambda }{2}=20cm
2
λ
=20cm
\lambda =40cmλ=40cm
We have to find the speed of the wave in the string
Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec
So speed of the wave in the string will be 3.2 m/sec
100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
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Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8
Answer:
4, because he could have a 20 a 5 and two ones.
Step-by-step explanation:
what is x????
please help!!!!
Answer:
x = 9
Step-by-step explanation:
4x + 38 = 10x - 16
The sum of two opposite interior angles is equal to the opposite exterior angle.
4x + 38 = 10x - 16
38 = 10x -16 - 4x
38 = 6x - 16
38 + 16 = 6x
54 = 6x
Divide both sides by 6
x = 9
Its very hard so brainly is very helpful
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?
Step-by-step explanation:
if I understand correctly, then the function is
t(x) = 8x
now we know, that for a specific n
t(n) = 200
that means
200 = 8n
n = 200/8 = 25
the function tells us, that for 25 trucks we need 200 tires.
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.
The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm
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875537= ? x 10^? i need help on this question
[tex]\huge \bf༆ Answer ༄[/tex]
The given value can be expressed as ~
[tex] \sf8.75537 \times 10 {}^{5} [/tex]4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions
what is this using Distributive property 6(n + 4)
Answer:
6n + 24
Step-by-step explanation:
Will mark brainliest
Answer:
Quadrant 3 or aka Quadrant III
Step-by-step explanation:
The top right quadrant is the first quadrant. Aka Quardant 1
The top left quadrant is the second qudrant. Aka Quadrant 2
The bottom left quadrant is the third quadrant. Aka Quadrant 3
The bottom left quadrant is the fourth quadrtant. Aka Quadrant 4
The heart is located in the bottom left quadrant. Meaning, it is the third quadrant. Aka Quadrant 3
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Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. A linear equation that expresses the total amount of money Jamie earns per house is y=70+40x. What are the independent variables? What is the y-intercept and the slope?
Answer choices:
Answer:
Slope:40 Y-intercept: 70 (AKA, B)
Step-by-step explanation:
y=mx + b
(mx is slope, the x can show u where the slope is usually located.)
let me know if im wrong
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
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WILL GIVE BRAINLIEST
10,000 candy canes was divided into 50 boxes. How many candy canes were in each box?
Answer:
200
Step-by-step explanation:
What time is shown on the clock
Answer:
6: 56
Step-by-step explanation:
the graphs show information about the different journeys of 4 people
Answer:
sorry id like to help but i need more info.
Step-by-step explanation:
i hope this helps!