Answer:
m = - 1 and b = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1
b is the y- intercept, that is where the graph crosses the y- axis.
line crosses the y- axis at (0, - 1 ) ⇒ b = - 1
Find the area of this
Answer:
124
Step-by-step explanation:
Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5
O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV
Answer:
O I, II, and III only
Step-by-step explanation:
x-3 < 2
Add 3 to each side
x-3+3< 2+5
x<5
-3 is less than 5
0 is less than 5
2 is less than 5
5 is not less than 5
I , II , II are true
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
https://brainly.com/question/14447197
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Find the area of the shape shown below.
this is on khan academy
Answer:
42 units^2
Step-by-step explanation:
Break this into a rectangle and a triangle
The rectangle is 12 by 1
A = l*w = 12*1 =12
The triangle has a base of 6-1 =5 and a height of 12
A = 1/2 bh = 1/2 (5)*12 = 30
Add the areas together
12+30 =42
Answer:
[tex]42 \: {units}^{2} [/tex]
Step-by-step explanation:
First divide the shape into triangle and a rectangle
then find the Area of the triangle and the rectangle separately
Area of the rectangle
[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]
Area of the triangle
[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]
Area of the shape
[tex]12 + 30 = 42 \: {units}^{2} [/tex]
What is the area of a circle with a diameter of 20 inches if
[tex]\pi[/tex]
=3.1415
$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$
π =[tex]\sf{ 3.1415}[/tex]$\sf{Diameter = 20inches}$$\space$
$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$
$\sf{Area\:of\:the\:circle.}$$\space$
$\sf\underline\bold\blue{Answer:}$
$\sf\small{Area\:of\:the\:circle\:is : 314.15}$$\space$
$\sf\underline\bold\blue{Calculations:}$
Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$
$\space$
$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$
$\sf{Convert \: to \: the\:lowest\:term(Divide),}$
$\mapsto$ $\sf\underline\bold{Radius=10}$
☆Now we know the value of the radius . So now let's calculate the area of the circle.
$\space$
$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$
$\sf\bold{Evaluating \: the\:required\:values:}$
$\sf\bold{Area\:of\:circle=3.1415(10)^2}$
$\space$
$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$
$\sf\bold{Now,}$
$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$
$\space$
$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$
____________________________
Match the equation on the left with the correct solution on the right.
A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full. If Ignacio adds 6 more liters of water, the container will be 75% full.
What is the value of n?
Answer:
[tex]14\text{ liters}[/tex]
Step-by-step explanation:
Let the total amount of water the container can hold be [tex]t[/tex]. Currently, there are [tex]n[/tex] liters in the container. If Ito adds 10 liters of water, the container will be 60% full. We can express this statement in the following mathematical equation:
[tex]n+10=0.6t[/tex]
Next, we're given that if we add 6 more liters to this, the container will be 75% full.
Therefore, we have:
[tex]n+10+6=0.75t,\\n+16=0.75t[/tex]
This is a system of equations:
[tex]\begin{cases}n+10=0.6t,\\ n+16=0.75t\end{cases}[/tex]
Subtract both equations to conveniently get rid of [tex]n[/tex]:
[tex]10-16=0.6t-0.75t,[/tex]
Combine like terms:
[tex]-6=-0.15t[/tex]
Divide both sides by -0.15:
[tex]t=\frac{-6}{-0.15}=40[/tex]
Now substitute [tex]t=40[/tex] into any equation (I'll choose the first):
[tex]n+10=0.6(40),\\n+10=24[/tex]
Subtract 10 from both sides:
[tex]n=24-10=\boxed{14\text{ liters}}[/tex]
{$20+$25+$22+$30+$15+$18+$20+$17+$30+$27+$15
Answer:
$239
Step-by-step explanation:
20+25+22+30+15+18+20+17+30+27+15=239
will marks brainlest helppp
Answer:
The value is -10
Step-by-step explanation:
I need help ASAP!!! I don’t get it
Answer:
Reflexion and rotation, then translation
Answered by GAUTHMATH
Find the mean of the following 8, 12, 16, 10, 18, 15, 22, 16, 14, 17
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]
This is the answer.
HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:
(negative 3, negative 1), (2, 2)
a.
y = 3/5x – 5/4
c.
y = 3/5x – 4/5
b.
y = 3/5x + 4/5
d.
y = -3/5x+4/5
Please select the best answer from the choices provided
A
B
C
D
Step-by-step explanation:
solution
Coordinate (-3,-1)(2,2)
x¹=-3 x²=2, y¹=-1 y²=2
M=(y²-y¹)/(x²-x¹)
M=(2+1)/(2+3) => 3/5
Equation of line
M=(y-y¹)/(x-x¹)
3/5 = (y+1)/(x+3)
cross multiply
3(x+3)=5(y+1)
3x+9=5y+5
5y-3x=4
5y=4+3x
y=4/5 + 3x/5
(C)
Which models best illustrates the inequality and its graph?
t< 55
a.) t is at least 55
b.) t is less than 55
c.) t is 55 or more
d.) t is at most 55
Answer:
B
Step-by-step explanation:
Open circle means the number is not included.
Hope this helps <3
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?
Answer:
[tex]Ratio = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Vertical length / Horizontal length
From the attachment, we have:
[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle
and
[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle
So, the ratio is:
[tex]Ratio = \frac{y}{x}[/tex]
[tex]Ratio = \frac{4\ units}{6\ units}[/tex]
[tex]Ratio = \frac{4}{6}[/tex]
Divide by 2
[tex]Ratio = \frac{2}{3}[/tex]
PLEASE HALPPP
Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(I need sleep and will give brainiest or whatever TvT)
Step-by-step explanation:
[tex]\huge\mathfrak\red{Answer}[/tex]
We can set this up as a proportion
(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way each 1/10 of a gallon fills 1/3 of the bin.
so 3(1/10) gallons fills 3(1/3)bins..
or
3/10 galons fills a whole bin.
WILL MARK BRAINLIEST!!
Angelica uses the point 4,3 to represent the location of her house and uses the point 10,8 to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.
Answer:
Angelica's house is 11 miles away from the gas station.
Step-by-step explanation:
The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.
Problem 1 Find the mBC.
Answer:
m BC = 100
Step-by-step explanation:
Since the angle is at the center, the arc has the same measurement as the angle
m BC = 100
if x^2=y^2+z^2
what does x equal?
Answer:
[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertyAlgebra i
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x^2 = y^2 + z^2[/tex]
Step 2: Solve for x
[Equality Property] Square root both sides: [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
12345678910123 + = xylab
NEXTLOUESTION
ASK FORHISP
TURNITIN
Answer:
long is rt3
short is 1
hypotenuse is 2
Step-by-step explanation:
in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for which the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]
Convert to p/q form[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]
[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]
solve for v.
v/4 = 6.4
Answer:
v = 25.6
Step-by-step explanation:
1. Multiply both sides of the equation by 4.
(6.4)(4) = 25.6
x>0, y>0, 2x+3y=8, smallest value of xy? pls help me
Answer:
where there is x in the equation we put 0
For y
=2(0)+3y=8
=0+3y=8 Group likely terms
=3y=8-0
=3y=8 Divide both sides by 3
=3y/3=8/3
Therefore y=2.6
For x
=2x+3y=8
=2x+3(0)=8
=2x+0=8 Group likely terms
=2x=8-0
=2x=8 Divide both sides by 2
=2x/2=8/2
Therefore x=4
The smallest numbers for x and y is 4 and 2.6 respectively
It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?
Answer:
Gloves = 11 pairs
Socks = 4 pairs
Step-by-step explanation:
Given that :
Time taken to knit pair of socks = 3 hours
Time taken to knit pair of gloves = 7 hours
Total time taken to knit 15 pairs of gloves and socks = 89 hours
Let :
number of socks = x and number of gloves = y
x + y = 15 - - - - (1)
3x + 7y = 89 - - - (2)
From (1):
x = 15 - y
Put x = 15 - y in (2)
3(15 - y) + 7y = 89
45 - 3y + 7y = 89
45 + 4y = 89
4y = 89 - 45
4y = 44
y = 44/4
y = 11
From :
x = 15 - y
x = 15 - 11
x = 4
okay can someone pls help me i literally am so confused
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y = 1/3x + 1
Group of answer choices
y = -1/3x + 1
y =1/3x – 22
y = -3x + 14
y = -3x – 22
Answer:
y = - 3x - 22
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 )
y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line
Help anyone can help me do this question,I will mark brainlest.
Answer:
Solution given:
note=diameter=2*radius
1:
Area of circle =πr²=22/7*(21/2)²=346.5cm²
2:
radius (r)= 3 ½=7/2cm
Area of circle =πr²=22/7*(7/2)²=38.5cm²
3;
radius (r)=14/2=7cm
Area of circle =πr²=22/7*(7)²=154cm²
note:
π=3.14 or 22/7
i use 22/7 over herePLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question