Answer:
y - 4 = 3(x - 1)
Step-by-step explanation:
It looks like you have slope 3 and a point (1, 4)
so it should be y - 4 = 3(x - 1)
which is your first choice: y minus 4 = 3 (x minus 1)
The point-slope form of a line is y - 4 = 3(x-1) which is correct option(A).
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
GIven equation,
Slope of line (m) = 3
Slope form of a line is y-y₁ = m(x-x₁)
Line passes through point (1, 4)
⇒ y - 4 = 3(x-1)
Learn more about Slope of Line
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what is the answer to this problem
Answer:
-5 > -7
-2 < 2
-10 < -3
-9 < 2
5 > -9
Step-by-step explanation:
please give me brainliest
12(x - 4) + 4(x + 7)
Answer:
16x -20
Step-by-step explanation:
12(x - 4) + 4(x + 7)
12x - 48 + 4x +28
16x - 20
Answer:
16x - 20
Step-by-step explanation:
Given
12(x - 4) + 4(x + 7) ← distribute both parenthesis
= 12x - 48 + 4x + 28 ← collect like terms
= 16x - 20
I need help with is math
Answer: 9
Step-by-step explanation:
Simplify to create an equivalent
1+ 46p - 9)
Choose 1 answer:
Answer:
[tex]8 + 46p[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]1 + 46p - 9[/tex]
[tex](1 - 9) + 46p[/tex]
[tex]8 + 46p[/tex]
Answer: [tex]8 + 46p[/tex]
You can also pull out a two from both
[tex]8 + 46p[/tex]
[tex]2(4 + 23p)[/tex]
Find the area of the shaded sector below. Use 3.14 for
Answer:
816.4
Step-by-step explanation:
i multiplied 65,4 and 3.14 to get 816.4
-5 < x - 4 greater than it equal 1
We have expression [tex]-5 < x - 4 \geq 1[/tex] that renders the system of inequalities,
[tex]
\begin{cases}
-5 < x - 4 \\
x - 4 \geq 1
\end{cases}
[/tex]
Which can be simplified to,
[tex]
\begin{cases}
x > -1 \\
x \geq 5
\end{cases}
[/tex]
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
[tex]x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}[/tex].
Hope this helps.
Solve the systems of equations by substitution
3/8x + 1/3y = 17/24
X + 7y = 8
Answer:
If your solving for y...
The answer would be: y = -9/8x + 17/8 I believe.
For the second one... it would be : y = -1/7x + 8/7
Step-by-step explanation:
Help 10 points!!!!!!!
Answer:
B.
Step-by-step explanation:
Hope this helps!
Answer:
i think A
Step-by-step explanation:
What is the base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm?
Final answer:
The base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm is 15 square centimeters, obtained by dividing the volume by the height.
Explanation:
To find the base area of a cylinder with a known volume and height, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius of the base, and h is the height. Since the volume (V) is 150 cubic cm and the height (h) is 10 cm, we can rearrange the formula to solve for the base area (A): A = V/h.
By substituting the given values into our rearranged formula, we get: A = 150 cm³ / 10 cm = 15 cm². Thus, the base area of the cylinder is 15 square centimeters.
Point B has coordinates (4,2). The x-coordinate of point A is negative 1. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
The possible coordinates of point A are
Answer:
5.8 and 7.4
Step-by-step explanation:
A dog shelter had 20 puppies last month. This month, 31 puppies are at the shelter!
What is the percent of increase?
Answer:11
Step-by-step explanation:
Because I said so
I need help with this please I’ll mark as brilliant
Which of the following fractions is the largest: 13/16, 3/4, 7/10, or 5/8?
From the given set of fractions, 13/16 is the largest fraction.
The given set of fractions are 13/16, 3/4, 7/10, and 5/8.
We need to check which of the given fractions is the largest.
How to order the fractions?To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.
Now, the LCM of denominators of the fractions is as follows:
16, 4, 10 an 8 LCM= 2×2×2×2×5=80
Make the denominators equal to LCM.
That is, 65/80, 60/80, 56/80, and 50/80
Here, 65/80 is the largest, since the numerator is the greatest number.
Therefore, from the given set of fractions 13/16 is the largest fraction.
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HELP ASAP MARKJNG AS BRAINLIST
Answer:
114°
Step-by-step explanation:
By property of intersecting chords inside a circle.
[tex] \because \angle \: 1 = \frac{1}{2} (x + y) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} (96 + 132) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} \times 228\\ \\ \huge \red { \boxed{\therefore \: \angle \: 1 = 114 \degree}}[/tex]
Which of the following explains why Cosine 60 degrees = sine 30 degrees using the unit circle? E2020?
Answer:
A
Step-by-step explanation:
he side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
Explanation of Cosine 60 = Sine 30
Cosine :
The trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
Sine :
The trigonometric function that is equal to the ratio of the side opposite a given angle (in a right-angled triangle) to the hypotenuse.
So, these are the reasons :
⇒ The side opposite a 30 degree angle is the same as a side adjacent to 60 degree angle in a right triangle.
⇒ On a unit circle, the y (sin) distance of a 30 degree angle is the same as the x (cos) distance of a 60 degree angle.
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A school bus has 23
seats that will fit 3
students each and
one seat that will fit 2
students. How many
students will fit on
the bus?
Answer:
101
Step-by-step explanation:
Answer:
The correct answer is 71.
a) Work out the value of (square root of 5)^2 x (square root of 3)^2?
Answer:
15
Step-by-step explanation:
Square root of 5=√5
Square of the square root=(√5)^2
=5
Square root of 3=√3
Square of the square root=(√3)^2
=3
So (square root of 5)^2×(square root of 3)^2
5×3
15
Therefore the final answer is 15
Started at 15 degrees and dropped 4 degrees and dropped 4 degrees each minute
Answer:
15-4 11 -4x
Step-by-step explanation:
Janet has $120. If she saves $20 per week, in how many days will she have $500? *
Answer:
19 weeks
Step-by-step explanation:
Make an equation
120+20x=500
Subtract 120 on both sides
20x=380
Divide by 20 on both sides
x=19
Hope this helps!
What two numbers added equal 40 but when subtracted equal 10?
PLZ!!!!!!!!!!!!!!!!!!!! HELPPPPPPPPPPPPPPPPPPPP
Answer:
25 and 15
You can easily make a system of equations:
x + y = 40
x - y = 10
Solving for x on equation 2 gets x = 10 + y.
Plugging in this into the first equation, you get 10 + y + y = 40
Thus, 10 + 2y = 40
y = 15.
Plugging this back into either equation gets x = 25.
Simplify -3(2x-7) + 5(4x-8).
Answer:
14x-19
Step-by-step explanation: Now can someone answer my question look at my page
6 times a number is 16 less than the square of that number. Find the positive
solution
Answer:
8
Step-by-step explanation:
Rhonda grows and sells pumpkins. The function C = 3n + 25 represents her cost, in dollars, for producing n pumpkins. Her revenue, or the amount she receives for selling n pumpkins, can be represented by the function R = 5n. Which function represents Rhonda’s profit, P, for selling n pumpkins?
Answer:
2n + 25
Step-by-step explanation:
Cost of pumpkin (C) = 3n + 25
Revenue (R) I.e selling price = 5n
Her profit (P) = Selling price (R) - cost price (c)
P = R - C
P = 5n - (3n + 25)
P = 2n - 25
The expression for her profit (p) = 2n - 25
Answer:
P = 2n – 25
Step-by-step explanation:
:)
If you could only plot 5 points to graph y=sinx, which points would you choose? How would you connect these points? Please explain
If you could only plot 5 points to graph y = cosx, which points would you choose? How would you connect these points? Please explain this too!
Answer:
For both graph I would choose the following points: 0°, 90°, 180°, 270° and 360°. I would connect the points (in both cases) with an smooth arc.
Step-by-step explanation:
x sin(x) cos(x)
0° 0 1
90° 1 0
180° 0 -1
270° -1 0
360° 0 1
Each bacterium in a petri dish splits into 2 bacteria after one day. The function b(d) = 600 • 24 models
the number of bacteria, b, in the petri dish after d days.
Part A)
What is the initial number of bacteria in the petri dish?
Part B)
How many bacteria will be in the petri dish after 5 days?
Answer:
(a)Initial Number of Bacteria=600
(b)[tex]\text{Number of bacteria after 5 days}=19200[/tex]
Step-by-step explanation:
Given an initial number [tex]b_0[/tex] of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.
The function [tex]b(d) = 600 \cdot 2^d[/tex] models the number of bacteria, b after d days.
Part A
Given [tex]b(d) = 600 \cdot 2^d[/tex]
When d=0,
The initial number of bacteria in the petri dish,
[tex]b_0=b(0) = 600 \cdot 2^0=600[/tex]
Part B
After 5 days, when d=5
[tex]b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200[/tex]
_____the number or variable that is raised to a power in an exponential expression
Answer:
Base
Step-by-step explanation:
To give an example, in the expression [tex]10^6[/tex], 10 is our base and 6 is our exponent or power.
What is the volume of a sphere with a radius of 1 foot? (Use 3.14 for π.) 37.68 ft 3 12.56 ft 3 4.19 ft 3 50.24 ft 3
A circle has a sector with area 1/2 pi and central angle of 1/9 pi radians. What is the area of the circle
Answer:
[tex]9\pi[/tex] sq. units.
Step-by-step explanation:
It is given that a circle has a sector with area [tex]\frac{1}{2}\pi[/tex] and central angle of [tex]\frac{1}{9}\pi[/tex] radians.
We know that, the area of sector is
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute the values of A and [tex]\theta[/tex].
[tex]\dfrac{1}{2}\pi=\dfrac{1}{2}r^2(\dfrac{1}{9}\pi)[/tex]
[tex]1=r^2(\dfrac{1}{9})[/tex]
[tex]9=r^2[/tex]
[tex]3=r[/tex]
The radius of the circle is 3 units.
So, the area of circle is
[tex]A=\pi r^2[/tex]
[tex]A=\pi (3)^2[/tex]
[tex]A=9\pi[/tex]
Therefore, the area of circle is [tex]9\pi[/tex] sq. units.
PLEASE HELP ME I DONT UNDERSTAND
Answer:
Picture #1: x=16 ; y=10
Picture #2: x=21 ; y=15
Picture #3: x=18
Step-by-step explanation:
Picture #1:
(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.
Picture #2:
(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.
Picture #3:
(7x-6)* and (4x-7)* are supplementary so they equal 180*.
Write the equation of a line with slope of -1/4 and contains the point (4,-3)
Answer:
y = -1/4x -2
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +b
Substitute the point into the equation
-3 = -1/4(4) +b
-3 = -1 +b
Add 1 to each side
-3 +1 = -1 +1 b
-2 =b
y = -1/4x -2