Answer:
C
Step-by-step explanation:
y=mx+b
b= y-intercept
m=slope
m=-3
b=9
[tex]\huge\boxed{Slope=-3,\;Y\;intercept=9.}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
y=mx+b.
m is always where the slope is located.
b is always where the y intercept is located.
Therefore, since -3 is located at m that is the slope and 9 is located at b so that is the y intercept.
Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle?
Answer:
A measures 72 and B measures 108
Step-by-step explanation:
If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.
greast common factor of 52 and 12
Answer:
4 = GCF
Step-by-step explanation:
52/12 = 4.333
52/11 = 4.7272727
52/10 = 5.2
52/9 = 5.77777778
52/8 = 6.5
52/7 = 7.42
52/6 = 8.6666667
52/5 = 10.4
52/4 = 13 --> 4 works but does it work with 12
**check it.
12/4 = 3
**YES** So 4 is the GCF
Hello There!
The Greatest Common Factor Between "12" And "52" Is 4
Help me answer this question please
Answer:
Step-by-step explanation:
√(x)
Shifted 3 units down:
√(x) - 3
Shifted 2 units to the right:
√(x-2) - 3
It's the last one.
ANSWER
[tex]y = \sqrt{x - 2} - 3[/tex]
EXPLANATION
The given equation is
[tex]y = \sqrt{x} [/tex]
This is the parent square root function.
If we apply the transformation;
[tex]y = \sqrt{x - k} - c[/tex]
Then the parent function will shift c units down and k units to the right.
When we the given function 3 units down and 2 units right the equation becomes:
[tex]y = \sqrt{x - 2} - 3[/tex]
What is the slope intercept equation of the line (0,4) and (2.-2)
Answer:
y= -3x + 4
Step-by-step explanation:
Answer:
[tex]slope=-3\\b=4\\[/tex]
Equation of the line
[tex]y=-3x+4[/tex]
Step-by-step explanation:
To find the slope we need two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] In this case we have the points [tex](0,4)[/tex] and [tex](2, -2)[/tex]
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] (1)
We replace the points in the equation (1)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-2-4}{2-0} =\frac{-6}{2} =-3[/tex]
We know the equation of the line:
[tex]y=mx+b[/tex] (2)
To find b we replace the slope, x and y with one of the points in the equation (2)
[tex]4=-3*0+b\\4=0+b\\b=4[/tex]
We substitute m and b in the general equation of the line
[tex]y=-3x+4[/tex]
hundred plus the product of a number and -2 equals 50. What is the number
Answer:
The number is 25
Step-by-step explanation:
We let the number be x. The product of x and -2 is;
x(-2) = -2x
a hundred plus the above product is;
100 + (-2x) = 100 - 2x
The above result is said to be equal to 50;
100 - 2x = 50
2x = 100 - 50
2x = 50
x = 25
the number we are looking for is 25.
The student is asking for help with a basic algebra problem. To solve this problem, we need to set up an equation based on the description provided: 'hundred plus the product of a number and -2 equals 50.' This translates to the algebraic equation 100 + (-2) n = 50. Our goal is to find the value of 'n'.
We first simplify the equation by subtracting 100 from both sides, which gives us -2n = 50 - 100. This simplifies to -2n = -50. Next, we divide both sides of the equation by -2 to isolate 'n'. The simplification gives us n = -50 / -2, which results in n = 25. Therefore, the number we are looking for is 25.
What is the measerment of the missing angle?
Answer:
80°
Step-by-step explanation:
Since they are vertical angles, they are congruent to each other.
∠r ≅ 80°
Answer : 80
Opposite angles have same size
Use differentiation method to find the slope of the tangent hence the
equation of the tangent as shown below.
Circle with radius = 5
and centre at (-3,1)
Tagent of the
circle at x = -6
Answer:
The equation of the tangent at x=-6 is [tex]y=-\frac{3}{4}x-\frac{15}{2}[/tex]
Step-by-step explanation:
The equation of a circle with center (h,k) with radius r units is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The given circle has center (-3,1) and radius 5 units.
We substitute the center and the radius into the equation to get;
[tex](x--3)^2+(y-1)^2=5^2[/tex]
[tex](x+3)^2+(y-1)^2=25[/tex]
To find the slope, we differentiate implicitly to get:
[tex]2(x+3)+2(y-1)\fra{dy}{dx}=0[/tex]
[tex]2(y-1)\frac{dy}{dx}=-2(x+3)[/tex]
[tex]\frac{dy}{dx}=-\frac{x+3}{y-1}[/tex]
When x=-6;we have [tex](-6+3)^2+(y-1)^2=25[/tex]
[tex]\implies 9+(y-1)^2=25[/tex]
[tex]\implies (y-1)^2=25-9[/tex]
[tex]\implies (y-1)^2=16[/tex]
[tex]\implies y-1=\pm \sqrt{16}[/tex]
[tex]\implies y-1=\pm4[/tex]
[tex]\implies y=1\pm4[/tex]
[tex]y=-3[/tex] or [tex]y=5[/tex]
From the graph the reuired point is (-6,-3).
We substitute this point to find the slope;
[tex]\frac{dy}{dx}=-\frac{-6+3}{-3-1}[/tex]
[tex]\frac{dy}{dx}=-\frac{3}{4}[/tex]
The equation is given by [tex]y-y_1=m(x-x_1)[/tex].
We plug in the slope and the point to get:
[tex]y--3=-\frac{3}{4}(x--6)[/tex]
[tex]y=-\frac{3}{4}(x+6)-3[/tex]
[tex]y=-\frac{3}{4}x-\frac{9}{2}-3[/tex]
[tex]y=-\frac{3}{4}x-\frac{15}{2}[/tex]
Let f(x) = -2x -2. The graph of g(x) = f(x) + k is shown below. Identify the value of k.
k should be 1, Check by calculating the x values for f(x) and confronting them with g(x)
The graph of g(x) is a vertical shift of the graph of f(x) by 1 unit up. Thus, the value of k is 1.
The graph of g(x) = f(x) + k is a vertical shift of the graph of f(x) by k units. We can see from the graph that the graph of g(x) is shifted up by 1 unit relative to the graph of f(x).
Therefore, the value of k is 1.
To confirm this, we can plug in a point on the graph of g(x) into the equation for g(x) and solve for k.
For example, we can see that the point (-1, 2) is on the graph of g(x). Plugging this point into the equation for g(x), we get:
2 = -2(-1) - 2 + k
2 = 0 - 2 + k
k = 2 + 2
k = 4
However, we know that this cannot be the correct answer, because the graph of g(x) is shifted up by 1 unit relative to the graph of f(x). Therefore, the only possible value of k is 1.
For similar question on vertical shift.
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what is the area of this parallelogram
h=2in b=10in
Final answer:
The area of the parallelogram is calculated as the product of its base and height, resulting in 20 square inches.
Explanation:
The area of a parallelogram is calculated using the formula: Base x Height. In this case, the base (b) is 10 inches and the height (h) is 2 inches. Therefore, the area of the parallelogram can be found by multiplying the base by the height:
Area = Base x Height
Area = 10 in x 2 in
Area = 20 square inches
This calculation gives us the total area of the parallelogram in square inches.
The area of a parallelogram given its base and height dimensions as 10 in and 2 in is 20 square inches.
The area of a parallelogram can be calculated using the formula:
Area = Base x Height
Given that the base, b, is 10 inches and the height, h, is 2 inches, the area would be:
Area = 10 inches x 2 inches = 20 square inches
F(x)=a^x,which of the following expressions is equal to [f(1)]^2
[tex]
f(x)=a^x \\
f(1)^2\Longrightarrow f(1)=(a^x)^2 \\
f(1)=\boxed{a^{2x}}
[/tex]
Mary is 21 years old. Her age is 9 years more than 3 times Henry’s age. Which equation can be used to determine x, Henry’s age in years?
Answer:4
Step-by-step explanation:
21=3x+9
12=3x
X=4
Final answer:
To find Henry's age, use the equation 21 = 3x + 9, where x represents Henry's age which is 4.
Explanation:
The question asks to find the equation to determine Henry's age. Given that Mary is 21 years old and her age is 9 years more than 3 times Henry's age, we set up the equation as follows: Let x represent Henry's age. The equation then becomes 21 = 3x + 9. This equation can be used to solve for x, Henry's age which is 12 = 3x; x = 4.
58:35
Compare the given dimensions of four triangles. Which triangle is possible to construct?
• side lengths of 5 ft, 12 ft, and 13 ft
O side lengths of 2 ft, 11 ft, and 15 ft
O side lengths of 3 ft, 7 ff. und 11 ft
O side lengths of 4 ft 8 ft, and 15 ft
Based on my calculations the answer is B
Answer:
D
Step-by-step explanation:
What is the solution to the equation below?
x/4=x+1/3
A) x=-4
B) x=-1
C) 1/7
D) 4/7
Answer:
[tex]\large\boxed{A)\ x=-4}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4[/tex]
(80pts) The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?
Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class ([tex]\frac{A's}{B's}[/tex])
[tex]\frac{2}{5} = \frac{A}{40}[/tex]
Cross multiply
2 * 40 = 5 * A
80 = 5A
Isolate A by dividing 5 to both sides
80/5 = 5A/5
16 = A
If 40 people in the class got B's then 16 people got A's
Hope this helped!
~Just a girl in love with Shawn Mendes
16 people got A's if there were 40 people who got B's
The ratio of the number of A's in the class to B's in the class is given as:
Ratio = 2 : 5
This can be rewritten as:
A : B = 2 : 5
When there are 40 B's, we have:
A : 40 = 2 : 5
Multiply the second ratio by 8
A : 40 = 16 : 40
By comparison, we have:
A = 16
Hence, 16 people got A's if there were 40 people who got B's
Read more about ratios at:
https://brainly.com/question/1781657
HELP PLEASE!!!!!???!!!!
-Hello There-
B Correct
The area of the original shape will be
multiplied by 9 to get the area of the
image under a dilation with scale
factor 3.
15 × 9 = 135 cm2
The perimeter of the original shape
will be multiplied by 3 to get the
perimeter of the image.
20 × 3 = 60 cm
if the ratio of the length of a rectangle to its width is 3 to 2 . what length of a rectangle whose width is 4 inches?
Answer:
6 in.
Step-by-step explanation:
So first you do 4 divided by 2 to find how much is 1 in the ratio.
4/2 = 2
Then you times 3 by 2
3 x 2 = 6 in.
Answer:
6
Step-by-step explanation:
I did it on plato :))
HELP ASAP MARKING BRAINLEST
what is the radius of the circle with the following equation?
x^2 + (y-3)^2=121
Answer:
The circle's center points are (0,3) and the radius is 11
Step-by-step explanation:
What is the experimental probability as a decimal
Answer:
P(not red) = 0.6
Step-by-step explanation:
red = 20, blue = 10, green = 9, yellow = 11
total number of times, spinning a four colored spinner = 50
P(not red) = [tex]\frac{10 + 9 +11}{50}[/tex]
= [tex]\frac{30}{50}[/tex]
= 0.6
Find the local and global extrema for the graph of ƒ(x) = x(25 – x).
To find the local and global extrema of the function f(x) = x(25 - x), we first find the derivative and set it equal to zero. Next, we evaluate the function at the critical point and the endpoints of the interval [0, 20]. The local maximum is 156.25 and the global maximum is also 156.25.
Explanation:To find the local and global extrema of the function f(x) = x(25 - x), we can start by finding the critical points. Critical points occur where the derivative of the function is equal to zero or undefined. Let's find the derivative of f(x) first:
f'(x) = 25 - 2x
Setting f'(x) equal to zero, we get:
25 - 2x = 0
Solving for x:
x = 12.5
The critical point is x = 12.5. Now, let's evaluate f(x) at the endpoints of the interval [0, 20] and the critical point:
f(0) = 0
f(20) = 0
f(12.5) = 12.5(25 - 12.5) = 156.25
Therefore, the local maximum is f(12.5) = 156.25 and the global maximum value on the given interval is also f(12.5) = 156.25.
Please help will give brainliest
Answer:
[tex]b = 537[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]a=640\\A=70\°\\B=52\°[/tex]
Now we use the sine theorem to find the length of b:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537[/tex]
Complete the equation of a line through (-3,3) with a slope of 1/3
y=1/3x+
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{3}[x-(-3)] \implies y-3=\cfrac{1}{3}(x+3) \\\\\\ y-3=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+4[/tex]
A square pyramid has a volume of 20 cubic feet and a base length of 5 feet. What is it's height?
Answer:
The height of the pyramid is [tex]2.4\ ft[/tex]
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to
[tex]V=\frac{1}{3}b^{2}h[/tex]
we have
[tex]V=20\ ft^{3}[/tex]
[tex]b=5\ ft[/tex]
substitute and solve for h
[tex]20=\frac{1}{3}(5)^{2}h[/tex]
[tex]60=(25)h[/tex]
[tex]h=60/(25)=2.4\ ft[/tex]
Help me find Train A's speed speed in miles per hour pleaseeeee
Answer: it should be 25.
Step-by-step explanation: this is because the slope of the line is 25. you can see that because, when finding the slope, you see that it goes up 50 and over 2. 50/2 (rise/run) is 25.
Answer:
25
Step-by-step explanation:
On the graph, you can see the train has traveled from 0 to 150 miles (the Y-axis), and it did that in 6 hours (X-axis).
That means that it traveled 150 miles in 6 hours.
A speed is a distance divided by a time (like miles/hour). So, to get the speed, we need to divide the distance traveled by the time it took to do it:
S = 150 miles / 6 hours = 25 miles per hour
Sharon pays $98.75 for twenty-five 14-ounce boxes of Yummy flakes cereal. How much does on box of cereal cost
Answer:
$3.95
Step-by-step explanation:
The cost of one Yummy flake cereal box which Sharon bought is $3.95.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Sharon pays $98.75 for twenty-five 14-ounce boxes of Yummy flakes cereal.
This means Sharon bought 25 boxes of cereal for $98.75.
Now to obtain the cost of one cereal box we have to divide the total amount by the total no.of boxes.
Therefore the cost of one cereal box is,
= (98.75/25).
= $3.95.
learn more about the unitary method here :
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What is the value of x?
Enter your answer in the box.
x =
It’s 25 because (24x24)+(7x7) squared is 25
are 2/8 and 3/4 equivalent
Step-by-step explanation:
They are not equivalent because :
2/8=1/4 decimal: 0.25
3/4 decimal:0.75
3/4 is greater than 2/8 when they are decimals.
Answer: They are not equivalent.
The other person spelled the word equivalent wrong.
Answer: THEY ARE NOT EQUIVILENT
2/8= .25
3/4=.75
.75≠.25
MAKE ME BRAINLIEST
Jay rides his bike 6 3/4 miles in 1/3 hour. What is his average speed?
There are three 1/3's in 1 hour: 1/3 +1/3 +1/3 = 3/3 = 1
Multiple the distance he rode by 3:
His speed is: 6 3/4 x 3 = 20 1/4 miles per hour
5) radius = 2.6 in
How do I find the circumference?
Answer:
[tex]\large\boxed{C=5.2\pi\ in\approx16.328\ in}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 2.6 in. Substitute:
[tex]C=2\pi(2.6)=5.2\pi\ in[/tex]
[tex]\pi\approx3.14\to C\approx(5.2)(3.14)=16.328\ in[/tex]
10 POINTS AND BRAINLIEST! I NEED HELP ASAP!
Complete the function table, then write a rule for the function.
Answer:
[tex] - 3 | - 9 \\ - 2 | - 4 \\ - 1 | - 1 \\ \: \: 0 \: | \: 0 \\ \: \: \: 1 | - 1[/tex]
Step-by-step explanation:
[tex] - ( - 3) ^{2} = - 9 \\ - ( - 2) {}^{2} = - 4 \\ - ( - 1) {}^{2} = 1 \\ - (0) {}^{2} = 0 \\ - (1) {}^{2} = - 1[/tex]
then our rule is
[tex]f(x) = - (x) ^{2} [/tex]
[tex]where \: x \: is \: the \: input \: \\ and \: f(x) \: is \: the \: output .[/tex]
This is my idea. I hope it can help you.
The One Snip-it Is Questions The Other Is Answers Thank You
Answer:
< FAD and <DAH make 90 degrees so they are complementary
<EAC and CAH make a straight line so they are supplementary
Step-by-step explanation:
Complementary angles add to 90 degrees
< FAD and <DAH make 90 degrees so they are complementary
Supplementary angles add to 180 degrees ( a straight line)
<EAC and CAH make a straight line so they are supplementary