[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
Slope of the line :
[tex] \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}[/tex]
[tex] \dfrac{7 - 2}{ - 2 - 3} [/tex][tex] \dfrac{ 5}{ - 5} [/tex][tex] - 1[/tex]therefore, m = slope = -1
The equation of the line will be :
y = mx + by = (-1 × x) + by = -x + bNow, let's plug the value of x and y from coordinates of second point,
[tex]y = - x + b[/tex][tex]2 = - 3 + b[/tex][tex]b = 5[/tex]Hence, the required values are :
[tex] \boxed{m = - 1}[/tex][tex] \boxed{ \: \: \: b = 5 \: \: \: }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through (-2, 7) and (3, 2). We need to find the slope.
x₁=-2, x₂=3, y₁=7, y₂=2
substitute the values in formula of slope
m=2-7/3-(-2)
m=-5/5=-1
The slope intercept form of line is y=-x+b
To find b put the values of (-2,7)
7=-(-2)+b
7=2+b
7-2=b
5=b
y intercept is 5
Hence the slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer: 120 cubed inches
Step-by-step explanation:
First, multiply them all together. 6x10x2 = 120 cubed inches
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.
Answer:
spinng of an odd number -50%
fliping heads - 50%
spinin an even number- 50%
Step-by-step explanation:
Find the measure of the arc TDB in the circle P shown below:
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.
So,
[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]
[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex][tex] \mathrm{\angle TDB =45 \degree } [/tex]_____________________________
[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]
A.
B.
C.
D.
Choose the one that would not fall on this line
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answer:
$120,000
Step-by-step explanation:
Provided that
The price of the new car is $750,000
And, the saving percent is 16%
We need to calculate out the saving amount for the deposit
Therefore, the saving amount is
= $750,000 × 16%
= $120,000
Basically we multiply these two things to each other in order to get the saving amount
what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answer:
Need a picture so someone can answer.
Answer:
Step-by-step explanation:
Sorry but i can not help you without a picture being present
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.
Answer:
6.5 feet
Step-by-step explanation:
The guy above me is correct its 6.5 feet
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
None of these
49/50
-1/2y
-2y
Answer:
-1/2y
Step-by-step explanation:
2/4 = 1/2
What geometric figure is the union of two non-collinear rays AB and AC?
ZBAC
ΔΑΒC.
BC
AB
z2+4z-165=(z-11)(z+-15)
Answer: look at the picture
Step-by-step explanation: Hope this help :D
If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answer: I think 100,000
Step-by-step explanation:
Calculate the marked price (original price) if
a. After 25% discount, the price of an article is Rs 7500,
please with explanation and calculation the answer should be Rs 10 000
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d
Which expression below has the same value?
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?
Answer:
55 inches = 4 feet 7 inches
Step-by-step explanation:
Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches
HELP I CANT FAIL AGAIN
Answer:
49
Step-by-step explanation:
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9
at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost
Answer:
0.20
Step-by-step explanation:
HELP! I'll give brainliest
Answer: A!
Step-by-step explanation:
PLEASE I NEED HELP Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.
Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.
Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.
choices are too small and too large
Answer:
Glass c
Step-by-step explanation:yw :)
HELPP i'll give brainliest for the CORRECT answer
Answer:
a = 105 in²
Step-by-step explanation:
Front and back, triangles
a = 2 * (1/2)(5 * 6)
a = 30
Sides, squares
a = 3 * (5 * 5)
a = 75
Total
a = 30 + 75
a = 105 in²
Does anyone know this
Answer:
8 2/3
Step-by-step explanation:
26/3
CONVERT TO A MIXED FRACTION
8 2/3
Answer:
Step-by-step explanation:
3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]
4*3+1/4 * 8/3
13/4*8/3
13*8/4*3
104/12
26/3
not :when u change division sign into multiplication then do the reciprocal .
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answer:
[tex]x = 1.5[/tex]
[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]
Answer:
x = 1.5
Step-by-step explanation:
[tex]\frac{9}{36} :\frac{x}{6}[/tex]
Cross multiply.
36 · x = 9 · 6
Simplify.
36x = 54
Divide each side by 36.
36x ÷ 36 = 54 ÷ 36
Simplify.
x = 1.5
PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?
2-find this area.
3-what is the area of this trapezoid?
Answer:
1) 22:14 and 11:7
2) 39m^2
3) 39cm^2
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answer:
$29, that is the answer for this question
fractions are equal to 12 /18 is
Answer:
2/3
Step-by-step explanation:
Answer:
2/3 = 4/6 = 6/9 = 8/12
= 10/15 = 12/18 = 14/21 = 16/24
= 18/27 = 20/30 = 22/33 = 24/36
= 26/39 = 28/42 = 30/45 = 32/48
= 34/51 = 36/54 = 38/57 = 40/60
= 42/63 = 44/66 = 46/69 = 48/72
= 50/75 = 52/78 = 54/81 = 56/84
= 58/87 = 60/90 = 62/93 = 64/96
= 66/99 = 68/102 = 70/105 = 72/108
= 74/111 = 76/114 = 78/117 = 80/120
= 82/123 = 84/126 = 86/129 = 88/132
= 90/135 = 92/138 = 94/141 = 96/144
= 98/147 = 100/150 = 102/153 = 104/156
= 106/159 = 108/162 = 110/165 = 112/168
= 114/171 = 116/174 = 118/177 = 120/180
= 122/183 = 124/186 = 126/189 = 128/192
= 130/195 = 132/198 = 134/201 = 136/204
= 138/207 = 140/210 = 142/213 = 144/216
= 146/219 = 148/222 = 150/225 = 152/228
= 154/231 = 156/234 = 158/237 = 160/240
= 162/243 = 164/246 = 166/249 = 168/252
= 170/255 = 172/258 = 174/261 = 176/264
= 178/267 = 180/270 = 182/273 = 184/276
= 186/279 = 188/282 = 190/285 = 192/288
= 194/291 = 196/294 = 198/297 = 200/300