Typically, linear equations are written in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line crosses the y-axis)To find the equation of a line given a point and the slope:
Plug the slope into y=mx+b as mPlug the point into y=mx+b as (x,y)Solve for bPlug b back into y=mx+b along with mSolving the Question
We're given:
[tex]m=\dfrac{1}{5}[/tex]Passes through (-5,-4)[tex]y=mx+b[/tex]
⇒ Plug in the slope, [tex]\dfrac{1}{5}[/tex]:
[tex]y=\dfrac{1}{5}x+b[/tex]
⇒ Plug in the point (-5,-4) and solve for b:
[tex]-4=\dfrac{1}{5}(-5)+b\\\\-4=-1+b\\\\b=-3[/tex]
⇒ Therefore, the y-intercept of the line is -3. Plug this back into our original equation as b:
[tex]y=\dfrac{1}{5}x-3[/tex]
Answer[tex]y=\dfrac{1}{5}x-3[/tex]
Lester bought 6.16 pounds of bologna at the deli. Renee bought 1.33 pounds
of bologna. How much more bologna did Lester buy than Renee? Do not
include units in your answer.
Answer:
5.32
Step-by-step explanation:
MARK A BRAIN LESS
CARRY ON LEARNING
B BRAIN LY FAST
Complete the rule for the
function table.
rule
[?]
input
Х
5
6
7
vo X
output
у
25
30
35
Answer:
its 35 home boy give me brainliest
Step-by-step explanation:
how many cups are one and one half
Answer:
two half
Step-by-step explanation:
because one plus one half equals two half
Answer:
1.5 cups.
1 / 2.33... quarts.
24 tbsp.
12 ounces.
3/32 gallon.
72 tsp.
Step-by-step explanation:
Measurments for liquid are wierd. mashup of every country. us anyway
What is the height of the building? (show your work) GIVING BRAINLIEST!
Answer:
so
Step-by-step explanation:
what I did was count the lines start from 5m and go on from there hope this helps :)
PLEASEE HELP
The students at Suzanne school are also going to paint a smaller mural inside the building. A scale drawing of the mural is shown on the grid.
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = \sqrt{15^2 +45^2 }
15
2
+45
2
=47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Fill in the blanks…..
Answer:
A 18c B 2 qt
Step-by-step explanation:
Basically since 1 pt = 2 c then you multiply pt by 2
Since 4 qt = 1 gal then divide qt by 4.
SOLVE THE EQUATION and explain YOUR ANSWER
Using the given quadratic function, it is found that:
a) The vertex is (-2.5, -15.5).
b) The y-intercept is of -3.
c) The solutions are x = -0.28, x = 5.28.
What is the quadratic function?It is modeled by:
f(x) = 2x² - 10x - 3.
Which means that the coefficients are a = 2, b = -10, c = -3.
What is the vertex of the function?It is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Hence:
[tex]x_v = -\frac{-10}{4} = -2.5[/tex]
[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]
The vertex is (-2.5, -15.5).
What is the y-intercept of the equation?It is the value of coefficient c, hence it is of -3.
What are the solutions?[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]
[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]
[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]
The solutions are x = -0.28, x = 5.28.
More can be learned about quadratic functions at https://brainly.com/question/24737967
10 = v/3 - 10 what is v
Answer:
v=60
Step-by-step explanation:
10=v/3-10
Subtract 10 from both sides the divide ( however really multiply by the reciprocal.
Presley is marking the lines for a soccer field. She needs to form a right triangle near the goal. She measures the lengths of her sides as 9 yards, 6 yards and √45 yards.
Did Presley form a right triangle? Why?
Yes, because 6 squared + 9 squared = (startRoot 45 EndRoot) squared
Yes, because 6 squared + (StartRoot 45 EndRoot) squared = 9 squared
No, because 6 squared + 9 squared not-equals (StartRoot 45 EndRoot) Squared
No, because 6 squared + (StartRoot 45 EndRoot) squared not-equals 9 squared
Answer:
Yes, because 6 squared + (StartRoot 45 EndRoot) squared = 9 squared
Step-by-step explanation: its to late but i just want points
Answer:
B) Yes, because 6 squared + (...
Proof:
What is 3 2/3 - 1 1/4?
Answer:
[tex]2\frac{5}{12}[/tex]
Evaluate. Subtract 3 by 1
[tex]3 - 1 = 2[/tex]
Find the least common denominators of the fractions, multiply them by the least common denominators, then subtract.
[tex]\frac{2 * 4}{3 * 4} = \frac{8}{12}[/tex]
[tex]\frac{1 * 3}{4 * 3} = \frac{3}{12}[/tex]
Now subtract.
[tex]\frac{8}{12} - \frac{3}{12} = \frac{5}{12}[/tex]
Add the whole number you found earlier from subtracting 3 and 1 by the new fraction, 5/12
[tex]2 + \frac{5}{12} = 2\frac{5}{12}[/tex]
12345+12345+12345+12345
Step-by-step explanation:
12345+12345+12345+12345=12345×49380
Help picture below problem 3
Answer:
in a triangle,
G+E+F = 180°
or, 24°+17°+F = 180°
or, 41°+F = 180°
or, F= 180-41
F = 139°
How much would $600 invested at 8% interest compounded continuously be worth after 3 years. round your answer to the nearest cent. A(t) = P×e^ rt
The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83
How to calculate compound interest?Compound interest are amount of money added on amiunt invested.
Given the following parameters
P = $600
r = 8% = 0.08
t = 3 years
Using the compound interest formula
A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83
Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83
Learn more on compound interest here: https://brainly.com/question/24924853
what is the height I need to get a 100 on this one someone help please
Answer:
[tex]\bf 5\:inches[/tex]
Step-by-step explanation:
Missing Height= ?
missing height:-
[tex]\bf 15\:in-10\;in[/tex]
[tex]\bf =5 \; in[/tex]
Therefore, the missing height is 5 inches.
The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using the diagram below identify the specific rigid motions used for the following shapes.
Answer:
a rigid motion does not affect the overall shape of an object but moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an object is moved from one location to another and the size and shape have not changed.hope it helps :)
A summer camp has a boy-girl ratio of 8:11 if the camp has 88 boys, what is the total number of children in the camp?
Answer:
Step-by-step explanation:
8:11
Grayson surveyed some students at his school about their favorite colors. Of the students surveyed, 2 said orange was their favorite color, while 36 of the students had other favorite colors. What is the experimental probability that the next student Grayson talks to will pick orange?
Using it's concept, it is found that there is a 0.0526 = 5.26% experimental probability that the next student Grayson talks to will pick orange.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 2 out of 38 students picked orange as their favorite color, hence the probability that the next student picks orange is given by:
p = 2/38 = 1/19 = 0.0526.
More can be learned about probabilities at https://brainly.com/question/14398287
find the measures of the missing angles
Answer:
I cannot see the attachment
Step-by-step explanation:
PLEASE PLEASE HELP!
My teacher says it really simple but I do not understand thank you so nuch
I'm not sure if my answer will help, but oh well.
So basically congruent means equal. so with the two photos you should be able to tell if they are congruent by looking and measuring there angles, sizes, etc.
A line passes through the points (4, 2) and (6, 10). What is its equation in point-slope form?
Answer:
y - 10 = 4(x - 6)
Step-by-step explanation:
Point slope form is
y - y1 = m(x - x1) where m = slope of the line and (x1, y1) is a point on the line.
Here the slope = (10-2)/(6-4)
= 8/2
= 4.
So the equation is
y - 10 = 4(x - 6) using the point (6, 10)
What decimal is being represented by the decimal grid?
a. 232
b. 23.2
c. 2.23
d. 2.32
Answer:
232
Step-by-step explanation:
232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232
Help help help math math math
Answer:
uhmm i don't know sorry I am just kind of doing this so I get the credit for answering a question:)
Which expression is equivalent to 8x - 2y + x + x ?
x
A 83
B 6x - 2y
C) 4x
D 10x – 2y
Answer:
D:
10x - 2y
Step-by-step explanation:
Find the next two terms in this sequence.
8,5,2,-1,-4 [??][??]
Answer: -7 , -10
Step-by-step explanation:
the pattern is that every number gets 3 taken away from the last one (8 - 3 is 5, 5 - 3 is 2, etc)
Answer:
-7, -10.
Step-by-step explanation:
Common difference is - 3 so the next term = -4-3 = -7.
Help help help math math
[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]
[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]
[tex]2 |x - 3| = 30[/tex]
[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]
[tex] |x - 3| = 15[/tex]
[tex]x - 3 = 15[/tex]
[tex]x - 3 + 3 = 15 + 3[/tex]
[tex]x = 18[/tex]
OR[tex]x - 3 = - 15[/tex]
[tex]x - 3 + 3 = - 15 + 3[/tex]
[tex]x = - 12[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
Hi, so both triangles are congruent so they have the same side lengths and angles. You are given in the congruency statment what points equal each other when the give you ABCD=EFGH. if you line them up you can find what lines and angles equal eachother because they will be in the same spot just on top of each other. So you can se that the line CD on the first trangle is equal to the line GH on the second. CD was labled 40ft therfore GH=40ft
Me sucking at math needs help again
10 Points
Answer:
1 is alternate exterior
2 is none of these
3 and 5 are corresponding
4 is alternate interior
Step-by-step explanation:
A bag with 8 marbles has 4 yellow marbles, 3 blue marbles, and 1 red marbles. What is the probabillity that it chosen at random and is yellow?
Answer:
1/2 = 0.5 = 50%
Step-by-step explanation:
Given:
Yellow marbles = 4Blue marbles = 3Red marbles = 1Total marbles = 8[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12[/tex]
This can also be written as 0.5 or 50%
Probability of yellow:-
P(Y):-
4/81/20.5Please Help!!!!
A ball was thrown upward into the air. The height in feet of the ball, above the ground, t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression?
A.) the ball took three seconds to reach its maximum height
B.) the ball took three seconds to reach the ground
C.) the ball was thrown from a height of three feet
D.) the ball reached a maximum height of three feet
Answer:
The ball was thrown from a height of [tex]3\; {\rm ft}[/tex].
Step-by-step explanation:
The expression for the height of this ball, [tex]h(t) = -16\, t^{2} + 40\, t + 3[/tex], represents a parabola (with respect to time [tex]t[/tex].)
In this expression, "[tex]3[/tex]" represents the [tex]y[/tex]-intercept of the parabola- the output of the parabola when the input is [tex]t = 0[/tex]. The reason is that when [tex]t = 0\![/tex], terms of this parabola that include [tex]t[/tex] ([tex](-16\, t^{2})[/tex] and [tex]40\, t[/tex]) would evaluate to [tex]0[/tex]:
[tex]\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}[/tex].
In the case of this ball, the term "[tex]3[/tex]" means that height of this ball is [tex]3\; {\rm ft}[/tex] when [tex]t = 0[/tex] (right when the ball was thrown.) Thus, the ball was thrown from a height of [tex]3\; {\rm ft}[/tex].
what is the area of the figure below
Answer:
47 units.
Step-by-step explanation:
You can split the shape into smaller pieces to make it easier to digest.
4*8 is 32 which is the top rectangle.
9-4=5 since you are trying to figure out the second rectangle, not the whole side length.
5*3=15
15+32=47
The area of the figure is 47 square units.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
From the given figure,
We see that,
Two rectangles can be considered.
Now,
One rectangle:
Length = 8
Width = 4
Area = 8 x 4 = 32
Another rectangle:
Length = 5
Width = 3
Area = 5 x 3 = 15
Now,
The area of the figure,
= 32 + 15
= 47
Thus,
The area of the figure is 47 square units.
Learn more about rectangles here:
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