Equation of line is y = mx +b
Passing through (-3,7 )
X= -3, y= 7
plug in these
7 = -3m + b ... .Eq1
Also X = 4 , y= 10
10 = 4m + b ............... Eq 2
Solve Eq 1 and Eq 2 for m and b
m= 3/7
b= 58/7
Thus y =( 3/7) X + 58/7 is equation of line
0r 7y = 3X +58
Here is a room with two lasers. Your goal is to get to the opposite side of the room. However there is a catch; if you do not stay equidistant from each laser, you will be blasted. Describe in a Word document how you would find the straight-line path across the room. Be sure to use correct geometric terminology from what you have learned so far.
Step-by-step explanation:
we would calculate the line of sight between the 2 lasers.
then we would create a line that goes through the middle point between the 2 lasers and is perpendicular to the line between the lasers. if we are lucky, then "You" is on the same perpendicular line. if not, we need to shift our starting point to a point where the perpendicular line hits the wall of the room.
by following that perpendicular line precisely, we we always have the same distance from both lasers.
seven more than one fourth of a number is one less than one third of a number
A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3,645 grams. Calculate the density of this cube given this information. Hint: a cube has equal sides
Answer:
Step-by-step explanation:
Volume of the cube = s^3
s = 9cm
V = 9 * 9 * 9
V = 729 cm^3
d = mass / volume
d = 3645 / 729
d = 5 grams / cm^3
What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.
Answer:
Step-by-step explanation:
1/2 + 2/3 = 7/6
1/2 - 2/3 = - 1/6
When making cookies, Sofia needs 7 minutes to prepare the dough and an
additional 9 minutes of baking time for each batch of cookies.
Let b represent the number of batches of cookies and m represent the total
number of minutes to make them.
Answer:
16 minutes
Step-by-step explanation:
all i know is 9+7 wahm bam yes mama its not it but ill give that answer >:D
Find the measure of the missing angle of each
Answer:
? = 120, ? = 145, respectively
Step-by-step explanation:
? + 60 = 180
? (+ 60 - 60) = 180 - 60
? = 120
35 + ? = 180
(35 - 35) + ? = 180 - 35
? = 145
simplify (2^5/3^2)^4
Answer:
The answer is
2^20 divided by 3^8
Step-by-step explanation:
multiply the both powers to the power outside. calculate it both then divide.If do still cant get it... solve both and compare.
Heh, no comment at all
Answer:
A. B and F
Step-by-step explanation:
.................
The answer could be ∠B and ∠F
Locker combinations consist of numbers 1-30 on the dial. Every locker combo is 3
numbers. How many different locker combinations are there? (Enter the number only -
no labels)
This is the number 27 thousand
==============================================
Explanation:
There are three slots and 30 choices per slot. Repeats are allowed.
So there are 30*30*30 = 27,000 different locker combos.
help i will give brainiest
Step-by-step explanation:
what the heck is that if someone's answers this they 9n x games mode
is 2.4 bigger than 2 1/3 ?
Answer:
yes
Step-by-step explanation:
u can change 2 1/3 to decimal and u will get 2.33.
therefire, 2.4 is bigger than 2 1/3
Can anyone help? It’s not -312,44,nor 92
Answer:
60
Step-by-step explanation:
4a + 2b² -2(a-3b)
a = 2 and b = 4
4(2) + 2(4)² - 2(2-3(4))
8 + 32 -2(2-12)
40 - 2(-10)
40 +20
60
Therefore 60 is correct.
Which statement regarding operations with Rational and Irrational numbers is true?
a.
The sum of two Irrational numbers
is always Rational
c. The product of a Rational number and
Irrational number could be either
Rational or Irrational.
b. The product of two Irrational
numbers is always Rational
d. The sum of a Rational number and
Irrational number is always Irrational
d. The sum of a Rational number and
Irrational number is always Irrational
3. (03.07)
Which of the following is a solution of x2 + 5x = -2? (2 points)
O 5 + 733
2
O 5 =√17
2
O -5+133
2
O -5=17
2.
Answer:
[tex] {x}^{2} + 5x = - 2[/tex]
arrange the equation according to general formula;
General formula: ax² + bx + c = 0
therefore:
[tex] {x}^{2} + 5x + 2 = 0[/tex]
Using the quadratic equation :
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
a » 1, b » 5, c » 2
substitute:
[tex]x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 1 \times 2) } }{(2 \times 1)} \\ \\ x = \frac{ - 5± \sqrt{17} }{2} [/tex]
therefore solutions are;
[tex]{ \boxed{ \boxed{x_{1} = \frac{ - 5 + \sqrt{17} }{2} }}} \: \: and \: \: { \boxed{ \boxed{x_{2} = \frac{ - 5 - \sqrt{17} }{2} }}}[/tex]
x is -0.438 and -4.562
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy?
.
Answer:
She will need to buy 39.75 meters of foam
Step-by-step explanation:
Please solve I will mark brainliest if correct
Answer:
m<RQP = 62°
Step-by-step explanation:
m<RQP = m<PQB + m<RQB
m<RQP = 38° + 24°
m<RQP = 62°
If three circular metal discs of equal thickness whose radii are 5cm, 20cm and 40cm are melted down to form one circular disc of the same thickness, find its radius.
Answer: 45 (cm)
Step-by-step explanation:
Since the discs have the same thickness, we will think about the areas.
Let say x the new radius:
[tex]\pi*5^2+\pi*20^2+\pi*40^2=\pi*x^2\\\Longrightarrow\ 5^2+20^2+40^2=x^2\\\\\Longrightarrow\ 2025=x^2\\\\\Longrightarrow\ x=\sqrt{2025} =45[/tex]
anyone know the answer??
Answer:
X (2, 1)
Y (2, 3)
W (5, 5)
Step-by-step explanation:
The current points are:
X (-2, -1)
Y (-2, -3)
W (-5, -5)
Now, after rotating 180 degrees around the origin, here is what points Y, Y, and W would look like:
X (2, 1)
Y (2, 3)
W (5, 5)
Plot these new points on the graph, and you'll have a new figure which will be rotated to 180 degrees.
I have also provided you with a graph, showing both, the original and the rotated version, below.
some please help!!!
i need it for now!!!!
PLEASE
Answer:
r =√[3V/(π h)]
Step-by-step explanation:
V = ⅓ × π r²h
=> multiplied by 3
3V = π r² h
=> find r²
r² = 3V/(π h)
=> find r
r =√[3V/(π h)]
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
Given equation:
[tex]V=\dfrac{1}{3} \times \pi r^2 h[/tex]
To isolate [tex]r[/tex], multiply both sides by 3:
[tex]\implies V \times 3=\dfrac{1}{3} \times \pi r^2 h \times 3[/tex]
[tex]\implies 3V= \pi r^2 h[/tex]
Divide both sides by [tex]\pi h[/tex]:
[tex]\implies \dfrac{3V}{\pi h}= \dfrac{\pi r^2 h}{\pi h}[/tex]
[tex]\implies \dfrac{3V}{\pi h}=r^2[/tex]
Square root both sides:
[tex]\implies \sqrt{r^2}=\sqrt{\dfrac{3V}{\pi h}}[/tex]
As the radius is positive only:
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]\implies r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
gm everyone plz help with this question down below :) Who was Sherlock Holmes?
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(cough cough) free, ,points
Solve for a: a+b=C
Select one:
a. a. a=b+c
b. a=b-c
c. a=c-b
d. b=C-a
Answer:
b.
Step-by-step explanation:
a+b = c
so a is c-b then you have the answer
30. -3a^2= -3-6^2 is this correct? And I have to evaluate o I am not good at that so if u can help THANK YOU so much!
a=-6
Answer:
-3a^2= -3*(-6)^2
Step-by-step explanation:
-3a^2 = -3*a^2 = -3*(-6)^2
WILL GIVE BRAINLIEST
Answer:
Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.
Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5
Step-by-step explanation:
In point slope form the slope and y-intercept can be read directly from the equation.
y = mx + b where m is the slope and b is the y-intercept.
Find the perimeter. Simplify your answer.
+4
+4
U
u + u + 4 + u + 4 =
= u + u + u + 4 + 4 = 3u + 8 ← the end
A, B & C form a triangle where Z BAC = 90°.
AB = 7.3 mm and CA = 4.6 mm.
Find the length of BC, giving your answer rounded to 1 DP.
Answer:
BC ≈ 8.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle , that is
BC² = AB² + AC² = 7.3² + 4.6² = 53.29 + 21.16 = 74.45 ( square root both sides )
BC = [tex]\sqrt{74.45}[/tex] ≈ 8.6 ( to 1 dec. place )
What is the answer to
-12x+7=-29
x=?
Step-by-step explanation:
-12x+7=29
or,-12x=-29-7
or,-12x=36
or,x=-36+12
x=-24
Answer
Can you answer this math homework? Please!
Answer:
Question 1: c) 12.5 m/s
Question 2: a) The object is not moving.
Step-by-step explanation:
Question 1: 100(m) divided by 8(s) equals 12.5(m/s)
So she goes 12.5 meters per second (m/s).
Question 2: Distance = x variable (horizontal) because the distance depends on the time. Time = y (vertical) because the time is independent.
If the points on the distance or x axis stay the exact same while the time or y axis continues to change, this will lead to a straight horizontal line on a graph and mean that whatever it is being measured for distance, is staying still or 'constant'.
Which decimal is equivalent to 8/11 ?
A. 0.72
B. 0.72 REPEATING
C. 0.88
D. 0.88 REPEATING
Answer:
b
Step-by-step explanation:
the answer is 0.7272727273 in total
so confused i just started this subject
Answer:
6 sq.cm
Step-by-step explanation:
base = 4 cm
height = 3 cm
[tex]Area =\dfrac{1}{2}* \ base * \ height\\\\= \dfrac{1}{2}*4 * 3\\\\= 2 *3\\\\ 6 \ cm^{2}[/tex]
so i'm struggling with a different problem this time. 5p - 9 = 2p + 12. (keep in mind i am an 8th grader in a high school algebra 1 class so i'm pretty clueless)