Answer:
y - 10 = -2(x - 7)Step-by-step explanation:
The point-slope form of equation where m is the slope and passing the point (x₀,y₀) is: y - y₀ = m(x - x₀)
m = -2
(7, 10) ⇒ x₀ = 7, y₀ = 10
y - 10 = -2(x - 7)
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
Find the value of the expression:
A + B - 3
For a =10 and b = 7
Answer:
14
Step-by-step explanation:
10+7 = 17 - 3 = 14
Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)
Answer:
y = -2*0.5ˣ
Step-by-step explanation:
general formula for exponential function: y = abˣ
for point (0 , -2): -2 = a*b⁰ = a * 1 = a
a = -2
for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2
b = 1/2
exponential function: y = -2*0.5ˣ
I need help!!!!!!!!!!!!!!!!
Step-by-step explanation:
1.2(3cm)×2(6cm)
6cm × 12cm
=72cm²
2. 2(5cm)×2(3cm)
10cm×6cm
60cm²
3.2(6cm)×2(3cm)
12cm × 6cm
72cm²
72cm²+60cm²+72cm²
=204cm²
A box contains ten cards labeled Q, R,S ,T ,U ,V ,W , X, Y, and Z . One card will be randomly chosen.
What is the probability of choosing a letter from Q toT ?
Write your answer as a fraction in simplest form.
Please help my day is going so bad ive litterally cried 5 times already and im so streesed with online school and having so much homework its just so difficult please help IM SO STRESSED :(
Answer:
10 cards. q to t is 4 of them- so 4 out of 10. 4/10. simplified 2/5
Jo is playing a game in which he must roll a die and toss a coin. What is the probability that Jo will roll a 6 and toss a heads? Make a list to support your answer.
Answer:
1/ 12
Step-by-step explanation:
Sample space :
(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)
Probability = required outcome / Total possible outcomes
Required outcome = roll a 6 and toss a heads = 1
Total possible outcomes = sample space = 12
= 1/12
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
On what day will both girls will be on the same page _____?
Answer:
like ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm .............. never
Step-by-step explanation:
Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]
[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]
[tex]A = \frac{1}{2}\cdot 4[/tex]
[tex]A = 2[/tex] units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use [tex]A = l\cdot w[/tex]
[tex]A = 2 \cdot 2[/tex]
[tex]A = 4[/tex]
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
. Mr. Jenkins deposited $1,250 into an account. He made no additional
deposits or withdrawals. Mr. Jenkins earned 4.25% annual simple interest
on the money in the account.
What was the balance in dollars and cents in Mr. Jenkins account at the
end of 4 years?
Record your answer on the grid.
Be sure to use the correct place value.
Answer:
$1,462.50
Step-by-step explanation:
To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50
Hope this helps!
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.
7y - 2 3/4 = 1/2 solve these equation
Answer:
y = [tex]\frac{13}{28}[/tex]
Step-by-step explanation:
Given
7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )
7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )
28y - 11 = 2 ( add 11 to both sides )
28y = 13 ( divide both sides by 28 )
y = [tex]\frac{13}{28}[/tex]
Are the figures congruent? Explain.
answer:
yes, because when you count the units you will see they are same
step-by-step explanation:
being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruent10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles
Answer:
25 black and 11 white
Step-by-step explanation:
lets say black marbles are x and white marbles are y
x+y=36
y+14=x
So: y+14+y=36
2y=22
y=11
Hence, x=25
Hope that helps!
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
Step-by-step explanation:
I can draw graphs on the application
eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5
eq2) is a vertical line at x = 1/2 NO y intercept or slope
-2x = -1 ---> x = -1/-2 = 1/2
They intersect at
y = -x + 5 and x = 1/2 Substitute x=1/2 into
y = -1/2 + 5
y = 4.5
intersect at (1/2, 4.5)
Five times a number is 28 greater than the product of the number and -2. Find the number
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
i need help and you don't have to show your work
Answer:
75
Step-by-step explanation:
Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base
Responder:
756 cm³
Explicación paso a paso:
Dar lo siguiente
Base del prisma = 21cm
Altura del prisma = 36 cm
Volumen del prisma = Área de la base * Altura
Volumen del prisma = 21 * 36
Volumen del prisma = 756cm³
De ahí el volumen del prisma = 756cm³
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.
Answer: all numbers 9 and up.
Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3
Answer:
O y = -5x + 7
Step-by-step explanation:
[tex]5x + y = -2 \\y = -5x - 2[/tex]
the slope of this line is -5 so the slope of a parallel line will also have to be -5
put it in point slope form:
y - - 3 = -5(x - 2)
y + 3 = -5x + 10
y = -5x + 7
plz help me its kinds hard :(
Answer:
Adjacent Supplementary
Step-by-step explanation:
Vertical angles are across from each other, so you can cross out any answers with vertical.
Complementary angles add up to 90, so you can cross out the answers with complementary.
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
To learn more on Straight lines click:
https://brainly.in/question/5952912
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2(x+3)=5x-6-3x true or false
Answer:
False
Step-by-step explanation:
LHS = 2x + 6
RHS = 2x - 6
LHS is not equal to RHS
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
**due today, please help!!**
Factor, input the parentheses
6x+12
3x+3y
10+25x
81x+48
24x+16y+8
3+24x+6y
81x-36y-18
54x+12
Answer:
i got you!
Step-by-step explanation:
6(x + 2)
3(x + y)
5(2x + 5)
3(27x + 16)
8(3x +2y + 1)
3( 1 + 8x +2y)
9( 9x -4y- 2)
6 (9x +2 )
Answer:
6(x+2), 3(x+y), 5(2+5x), 3(27x+16), 8(3x+2y+1), 3(1+8x+2y), 9(9x−4y−2), 6(9x+2).
PLs help i really need it will give brainliest and thanks and 5 stars
Answer:
(5-2t)<-4
Step-by-step explanation:
The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4