Answer:
y = 4x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
16x - 4y = - 20 ( subtract 16x from both sides )
- 4y = - 16x - 20 ( divide terms by - 4 )
y = 4x + 5 ← in slope- intercept form
The equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].
What is the slope of line?
The slope of a line gives the measure of its steepness and direction.
The slope of a straight line between two points says [tex](x_1,y_1),(x_2,y_2)[/tex] and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘[tex]m[/tex]’.
As we know that, the equation of a line in slope- intercept form is
[tex]y = mx + c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
So,
[tex]16x - 4y = - 20\\\\-4y=-20-16x\\\\-4y=-(16x+20)\\\\4y=16x+20\\\\y=\frac{16x}{4}+\frac{20}{4}\\\\y=4x+5[/tex]
Hence, the equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].
To know more about the slope of line
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A sculptor plans to ship the pyramid shown in one of three boxes. The interior of the pyramid holds 4,500 cm3 of water. The base is an isosceles trapezoid. Into which boxes will the pyramid fit? Drag “yes” or “no” to each box height.
Answer:
28 cm and 32 cmStep-by-step explanation:
Volume of the pyramid:
V = 1/3BhFind base area:
B = 1/2(20 + 30)*20 = 500 cm²Substitute value of the volume and find the height of the pyramid:
4500 = 1/3*500*hh = 4500*3/500h = 27 cmThe boxes with h > 27 can fit the pyramid:
28 cm and 32 cmArea of base
1/2(30+20)(20)10(50)500cm²Volume=1/3Area×Height
Height
4500(3)(500)27cmSo answers are
boxes of 28cm and 32cn
Find the volume of the solid.
Need correct answer with explanation( brainlest)
Answer:
41.6 yd³
Step-by-step explanation:
Volume = lwh
Volume = (2 yd)(4 yd )(5.2 yd) = 41.6 yd³
if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.
Answer:
551.82feet tall
Step-by-step explanation:
WE are given the following from the question;
Distance of me from the bottom of the building = 1300feet (adjacent)
Angle of elevation = 23 degrees
Required
Height (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 23 = H/1300
H = 1300tan23
H = 1300(0.4245)
H = 551.82feet
Hence the building is 551.82feet tall
The cereal box shown below is a rectangular prism
Answer:
Lenghth x width x hight
Step-by-step explanation:
MULTIPLY LENGNTH TIMES WIDTH TIMES HIGHT TO GET YOUR FINAL PRODUCT
-2.5f+ 0.8f-16 -3 help please
Someone please answer this question quick
Answer:
The first graph
Step-by-step explanation:
The function shows a 4x-2 relationship so to test if the relationship works you multiply a number by 4 and subtract 2, if it follows this then it represents h but if it doesn't then it is incorrect. The first graph is the only answer choice that follows this function so it is the correct answer.
What is the value of log4 2?
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
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Kevin has at most $30 to spend at the fair. The entrance fee is $5.50 and each activity is $1.25.
Write the equation that represents the problem.
Given:
Entrance fee = $5.50
Additional fee = $1.25 for each activity.
Total amount spend at fair = $30
To find:
The equation that represents the problem.
Solution:
Let the number of activities be [tex]x[/tex].
Additional fee for 1 activity = [tex]\$1.25[/tex]
Additional fee for x activity = [tex]\$1.25x[/tex]
Total fee = Entrance fee + Additional fee for x activity
= [tex]\$5.50 + \$1.25x[/tex]
It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.
[tex]\$5.50 + \$1.25x=\$30[/tex]
[tex]5.50+1.25x=30[/tex]
Therefore, the require equation is [tex]5.50+1.25x=30[/tex].
Note: The inequality for the given problem is [tex]5.50+1.25x\leq 30[/tex].
can some help me its number 2
W: (5,9)
X: (7,8)
Y: (9,2)
Z: (2,5)
hope this helps! tell me if i got anything wrong!
coefficient of 3+4x-7
What are the x-intercepts of the graph of the function
f(x) = x2 + 4x – 12?
Answer:
The x-intercepts of the graph would be (2, -6)
Step-by-step explanation:
Hope it was helpful ^____^ !
What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)
Answer:
1
Step-by-step explanation:
Find volume. Round to nearest tenth
Answer:
346.41 i hope this helps and i got a question for you what does brainliest mean?
Step-by-step explanation:
Please help need this answer
Answer:
Step-by-step explanation:
The next (best) step is to divide everything by a.
D is not correct because only bx is divided by a. You cannot neglect to divide -c by a
B will eventually be done in some form but it is much easier to deal with division by a. The way b is done is not correct.
A is completely wrong. It's far to soon to be dealing with square roots.
Austin drove 140 miles in two hours what was his average speed
Answer:
70 mph
Step-by-step explanation:
(140 miles) / (2 hours) = 70 mph
Benson spent 5/6 of an hour reading on each of three days this week. How long did Benson spent reading this week?
Answer: You want to know how many hours he was reading per week. 5/6 * 3 = 15/6 Hours = 5/2 Hours = 2 Hours 30 minutes.
150 minutes
Step-by-step explanation:
5/6 = 50/60. 60 min in an hour. so 5/6 would mean 50 min of 60. he spent 50 minutes each day reading. now since it says 3 days, youd multiply that by 3. ultimately, youd get 150 min in total.
ASAP PLS! Brainliest points!
Answer:
1. -10.8
2. -2/10
3. 10
4. 10 7/10
Step-by-step explanation:
Sorry if it's wrong.
If a particular type of brick weighs 30 lb. per cubic foot, how much will a stack of bricks 4 ft. by 7 ft. by 8 ft. weigh?
Answer:
6720 lbs
Step-by-step explanation:
guessing
4 × 7 × 8 = 224 cubic feet
224 x 30 = 6720
The volume of a sphere is 267.95 m2. To the nearest meter, what is the radius of the sphere? Use
3.14 for .
I need this answer ASAP!
Answer:
4m
Step-by-step explanation:
v=4/3 pi r^3substitute 267.95=4/3×3.14×r^3267.95= 12.56r^3/3multiply by the reciprocal on both sides 64=r^3find the cuberoot on both sides to remove the cube hence 4=rKim is 12 years old. If her age is 25% of her mother’s age, how old is her mother?
Answer:
48
Step-by-step explanation:
Answer: Her mom is 48 years old.
Step-by-step explanation:
If
12 = 1/4 of x (her mom's age)
12 divided by 1/4
12 x 4 = 48
1 1
x = 48
someone help me right now please!! “15% of what number is 14?”
i need step by steps i dont know how to solve these problems
Answer:
We have, 14% × x = 15
or, 14100 × x = 15
Multiplying both sides by 100 and dividing both sides by 14,
we have x = 15 × 10014
x = 107.14
If you are using a calculator, simply enter 15×100÷14, which will give you the answer.
AC is a diameter of D. If m BDC = 150°, what is the measure of AB?
I'm sorry if this doesnt make sense.
in my opinion 180° is the answer
hope helps
How can i calculate the high of a triangle of 14cm each side??
Find the mean absolute deviation (MAD) of the data in the pictograph below.
baskets
2 baskets
Baskets each student made
DO
DO
Baskets made
Reynaldo
Marcelle
Allie
Fernando
10.5
Step-by-step explanation:6,9,12,159,12 are both tired for the median.9+12/2 = 10.5
Answer:
10.5
Step-by-step explanation:
did it on khan
Find the circumference of the circle. Use 3.14 for the value of ", Round your answer to the nearest tenth.
Answer:
18.2 cmStep-by-step explanation:
Given,
Radius of the circle = 2.9 in.
Therefore,
Circumference of the circle
[tex] = 2\pi r[/tex]
[tex] = 2 \times 3.14 \times 2.9 \: cm[/tex]
= 18.212 cm
As,
It has asked for nearest tenth so it will be,
18.212 cm
Since, there is 1 in the hundredth digit so it will round to 0.
Hence,
18.2 cm is the required circumference of the circle rounded to nearest tenth. (Ans)
Helpppppp me please I do anything!!!!
Answer:
Step-by-step explanation:
Your answer should be a because the negatives cancel out making them positive.
Answer:
i beleive its A
Step-by-step explanation:
if im wrong its D and i can i has brainliest
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Kayla gave of a pan of brownies to Ella and of the pan to Eli. Which choice is the MOST reasonable for the part of the
pan of brownies Kayla gave away?
6
A
B)
D
E
The
N.
Answer:
its definetly 1/2 but i cant see the numbers but i had this question like 2 minutes ago
Step-by-step explanation:
nice to help a high schooler, make you think how hard high school will be
Write an equation of the line below.
Answer:
y= 2/1x + 1
2/1x is the slope and 1 is the Y intercept.
What is the probability a customer ordered a small, given that he or she ordered a hot drink?
Answer:
7% is the answer
Step-by-step explanation:
Landon reads for 45 minutes 5 times a week. Marisa reads for 100 minutes 3 times a week. Daniel reads for 25 minutes 7 times a week. Out of the three students who reads the most per week? What is the difference between the person who reads the most and the person who reads the least?
Answer:
Marisa
Step-by-step explanation: