Answer:
Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.
Step-by-step explanation:
Answer:
2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.
Step-by-step explanation:
2. What is the perimeter of a square whose
diagonal is 5 with the square root of 2 ft
Twelve units would make up the perimeter.
eight students got a B on the final test. Ig the ratio of the number of students who got an A to the number of students who got a B is y: x, how many students got an A? Write a formula that gives the number of students who get an A given x and y.
The ratio of students that got A to students that got B is an illustration of comparison
The number of students that got A in the test is 8y/x
How to determine the number of studentsThe ratio of the student is given as:
A : B = y : x
8 students got B in their final test.
So, the ratio becomes
A : 8 = y : x
Express the ratio as a fraction
[tex]\frac A8 = \frac yx[/tex]
Multiply both sides by 8
[tex]A = \frac{8y}x[/tex]
Hence, the number of students that got A in the test is 8y/x
Read more about ratios at:
https://brainly.com/question/2784798
.20c=.10c+625
what would be the answer
Answer:
[tex]625 = 10x \\ x = 625 \div 10 \\ = 62.5[/tex]
find the length of AB
Answer:
25% a b i dont know
Step-by-step explanation:
PLS HELP SOS
I have a question that I can’t solve can somebody help please
Answer:
By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.
Hope it helps..
Find g(x), where g(x) is the reflection across the x-axis of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
Step-by-step explanation:
4.0/5
7
The graph of f(x) = x in a straight line passing through the origin (0,0) and at an angle of 45 degrees to the x axis. It increases from left to right.
Reflection in the x axis will convert all positive values of f(x) to negative values of f(x) and vice versa.
g(x) = - x and is a striaght line passing through origin at angle of 45 degrees but the slope descends from left to right.
The reflection of function f(x) = x² across the x-axis is given by,
g(x) = -(x - 0)² + 0.
Use the concept of fucntion defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Given that,
Function: f(x) = x²
Desired reflection function: g(x)
Reflection of f(x) across the x-axis gives g(x)
Need to find g(x) in the form a(x - h)² + k, where a, h, and k are integers.
To find the reflection across the x-axis of the function f(x) = x²,
Negate the function's y-values.
So, for g(x), the reflection of f(x) across the x-axis,
g(x) = -f(x)
g(x) = -x²
To write this in vertex form, complete the square. Let's begin:
g(x) = -x²
g(x) = - (x²)
g(x) = -1 (x²)
Now, to complete the square,
Take half of the coefficient of x, square it, and add it inside the parentheses:
g(x) = -1(x²)
Taking half of the coefficient of x, we get -1/2.
Squaring it gives 1/4.
Adding this inside the parentheses, we have:
g(x) = -1(x² + 1/4)
To maintain symmetry,
Write the expression inside the parentheses as a perfect square:
g(x) = -1(x² + 1/4)
g(x) = -1(x² + (1/2)²)
Now, factoring out the -1, we get:
g(x) = -(x²+ (1/2)²)
Finally, we can rewrite this expression in the form a(x - h)² + k:
g(x) = -(x - 0)² + 0
Hence, the reflection of f(x) = x² across the x-axis is given by,
g(x) = -(x - 0)² + 0.
To learn more about function visit:
https://brainly.com/question/8892191
#SPJ3
State whether the sequence below is arithmetic or geometric. Explain your answer by explaining the sequence and giving the next two terms of the sequence.
-40 , -25 , -10 , 5 , ___ , ___
The length of a rectangle is 2cm greater than the width. If the width is increased by 4cm, the area is increased by 88cm^2. Find the original dimensions of the rectangle
Step-by-step explanation:
l = length
w = width
l = w + 2
l×w = area = (w + 2)×w = w² + 2w
l×(w + 4) = area + 88
(w + 2)×(w + 4) = w² + 2w + 88
w² + 6w + 8 = w² + 2w + 88
6w + 8 = 2w + 88
4w = 80
w = 20 cm
l = w + 2 = 20 + 2 = 22 cm
the original length is 22 cm.
the original width is 20 cm.
the original area (22×20) is therefore 440 cm².
the new area (22×24) would be 528 cm².
)) of the students in Brody's grade, 30 students have a pet and the other 47 students do not.
What is the ratio of the number of students who do not have a pet to the number of students who
have a pet?
Answer:
Given
students have a pet = 30students do not have a pet = 47Let number of students who have a pet denoted by "X" And number of students who do not have a pet denoted by "Y"
Step-by-step explanation:
Ratio of students who have a pet = [100 - (X/Y * 100)]
Ratio of students who have a pet = [100 - (30/47 * 100)]
Ratio of students who have a pet = [100 - (67.8)]
Ratio of students who have a pet = 36.2
Sophia went jet skiing while on vacation. she paid a flat rental fee of $85.00 plus $7.50 each day. if she had $130, how many days is she able to rent a jet ski?
Answer:
130-85=45
45/7.5=6
Step-by-step explanation:
so she would have 6 days to rent the jet ski if she wanted to spend all of her money on that.
Which equation has roots of
±
3
?
Answer:
(x^2-9)
Step-by-step explanation:
To have roots plusminus 3, the factors need to be (x+3) and (x-3)
You can FOIL those and multiply those out to get x^2-9.
Or you can remember the rule of Difference of Squares and know that the first term minus squared the second term squared is equal to first term + second term and first term minus second term.
Basically, (a^2-b^2) = (a+b)(a-b)
This does not work if it is (a^2+b^2)
A watch store has 346 watches.
During the weekend, they sold
about 26% of their watches. How
many watches did they sell?
Answer:
26% of 346 is 89.96
Step-by-step explanation:
346 ÷ 100 = 3.46
3.46 × 26 = 89.96
If cd is tangent to the circle AB=1. 5 and BC=1 what is the length of CD
The length of [tex]CD[/tex] is 2.
How to determine the length of a segmentSince [tex]CD[/tex] is tangent to the circle, then [tex]AD\perp CD[/tex]. Then, the triangle [tex]ABD[/tex] is right angled. Thus, the length of [tex]CD[/tex] is found by Pythagorean theorem:
[tex]AC = \sqrt{AD^{2}+CD^{2}}[/tex] (1)
If we know that [tex]AB = 1.5[/tex], [tex]BC = 1[/tex] and [tex]AD = 1.5[/tex], then the length of [tex]CD[/tex] is:
[tex]CD = \sqrt{AC^{2}-AD^{2}}[/tex]
[tex]CD = \sqrt{2.5^{2}-1.5^{2}}[/tex]
[tex]CD = 2[/tex]
The length of [tex]CD[/tex] is 2. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/391394
1. The diagram shown is two intersecting lines. The measure of (5 is 47°.
(a) What is the measure of {7 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of {6 can be represented by (2x-5) . What equation can be written to solve for the value of x?
(c) What is the value of x?
By using what we know about intersecting lines, we will see that:
a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69How to get the measures of the angles for two intersecting lines?When two lines intersect, 4 angles are formed. There are two properties that these angles have.
If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Answer fast brainly i give brainliest
Answer:
see below ( i am not sure about the answers)
Step-by-step explanation:
positive
negative
negative
positive
Given that, 2x^3 + 5x^2+7x + 23 = A(x+1)^3+ B(x + 1)^2 +Cx+ 22 for all values of x, evaluate A, B and C. Hence, state the remainder when 2x^3 +5x^2 + 7x+23 is divided by x^2 + 2x +1.
Answer:
A = 2
B = -1
C = 3
remainder= 19
Step-by-step explanation:
A(x+1)³ + B(x+1)² + Cx + 22 =
A(x³ + 3x² + 3x + 1) + B(x² + 2x + 1) + Cx + 22 =
Ax³ + (3A + B)x² + (3A + 2B + C)x + (A + B + 22) =
2x³ + 5x² + 7x + 23
→
A = 2
3A + B = 5 → 3(2) + B = 5 → B = 5 - 6 → B = -1
3A + 2B + C = 7 → 3(2) + 2(-1) + C = 7 → C = 7 - 6 + 2 →
C = 3
remainder :
(2x³ + 5x² + 7x + 23 )/ (x² + 2x + 1) =
(2x³ + 5x² + 7x + 23 )/ (x + 1)²
→
(x + 1)² = 0 → x = -1
2(-1)³ + 5(-1)² + 7(-1) + 23 = -2 + 5 - 7 + 23 = 19
Angles S and T are vertical angles. If angle S has a measure of ( x − 2 ) ∘, and angle T has a measure of 40 ∘, what is the value of x
Answer: 42
Step-by-step explanation:
Vertical angles have equal measure, so 40=x-2 -> x=42
Answer:
The answer is 42
Step-by-step explanation: To get your answer, you need to add like terms, but there is only one x value, so you need to add the numbers (like terms) and you'll have your answer.
Bailey toss a coin 20 times. The results were 12 heads and a tails. What statement accurately compares the theoretical and experimental probability of tossing tails?
I need this tonight will give Brainlyist to right answer!!
Factor the expression below.
15x3+10x2
Answer:
5 x 2 ( 3 x + 2 )
Step-by-step explanation:
Find the circumference of a circle with diameter, d = 8.51m.
Give your answer rounded to 2 DP.
Answer:
C ≈ 26.73 m
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 8.51 ≈ 26.73 m ( to 2 dec. places )
The midpoint of PQ is M(5, 7). One endpoint is P(2, 5). Find the coordinates of the other endpoint Q.
Write the coordinates as decimals or integers.
Q = ( , )
(8,9)
Step-by-step explanation:
5=2+X/2
10-2=X
8=X
7=5+y/2
14=5+y
14-5=y
y=9
(8,9)
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
Answer:
The option which is:
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
Step-by-step explanation:
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
Given:
f(x) = x²
g(x) = (x-5)² + 1
By comparing [ the translation from f(x) to g(x) ] with the rules of translation
We can deduce that g(x) is the image of f(x) by translation 5 units right and 1 unit up ( rules 1 and 4)
See the attached figure which represent the graph of f(x) and g(x)
As shown g(x) goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10)
In a pair of complementary angles, the measure of the larger angle is twice that of the smaller
angle. What is the measure of the larger angle?
Answer: 60 degrees
Step-by-step explanation:
What is the value of v?
An exterior angle is equal to the sum of the two opposite inside angles.
v + 42 = v + v + 2
Simplify:
V + 42 = 2v + 2
Subtract 2 from both sides:
V + 40 = 2v
Subtract 1 v from both sides:
40 = v
Answer: v = 40
Tara and Edith share a sum of money in the ratio 13 : 12
What percentage of the money does Tara receive?
Answer:
She receives 108.33% ( or $108.33)
Step-by-step explanation:
Tara receives $108.33 because 13/12 into a percentage =108 times 100
which = 108.33.That's all there is to it! Hope you have a great day.
The value of a stock in 1940 is $1.25. Its value grows by 7% each year after 1940.
Write an equation representing the value of the stock V(t), in dollars, t years after 1940.
toStep-by-step explanation:
1.25 each year plus 7% for each year
V(t) = t(m) + (c)
m is the gradient
c is the y-intercept
first m
m is what it changes by each year
it is 7% as it changes by 7% each year
we need 7% as a decimal though so
what is 7% as a decimal
write in comments if you don't know tell me
then i will do c
The representation of the value of stock in dollars after 1940 is given as
V(t) = $1.25(1 + 0.07)^t.
How to write the expression for a growing exponential?The growing exponential can be written generally as f(x) = N(1 + r)ˣ, where N is the initial value and r is the rate of growth.
To find the expression different values of x and f(x) should be known.
Given that,
The value of the stock in 1940 is $1.25.
And, its rate of growth per year is 7%.
The general expression for the growing exponential can be written as,
f(x) = N(1 + r)ˣ
The given data shows N = 1.25 and r = 7/100 = 0.07.
Thus, the required expression can be written as,
V(t) = 1.25(1 + 0.07)^t
Hence, the required expression for representing the value of the stock V(t), in dollars, t years after 1940 is V(t) = $1.25(1 + 0.07)^t.
To know more about exponential function click on,
https://brainly.com/question/14355665
#SPJ2
Three baseball players are playing catch. Clayton is directly south of Shawn and directly west
of Jen. Clayton and Jen are 18 feet apart and Jen and Shawn are 30 feet apart. How far apart
are Clayton and Shawn?
feet
Plss help if you can
y = 27
21 / 3 = 7
7 * 4 = 28
28 - 1 = 27
Please help it would be appreciated so so much thank youuu
Also, ignore how terrible at maths I am
Thanks again
Answer:
so is this a question?
Step-by-step explanation:
Please explain what you are asking thank you.
what is the quotient of 5/4?
(I'll give brainliest if you answer, thanks!<3)
Answer:
1 1/4
Step-by-step explanation:
5/4 = 1.25
As you can see 1 is the whole
1 divide by .25 = 4
Thus, 1 1/4
[tex]\frac{5}{4}=1\frac{1}{4}[/tex]
~Learn with Lenvy~
1.25 is the quotient when 5 is divided by 4.
What is Division?A division is a process of splitting a specific amount into equal parts.
In division, the dividend( the number being divided) is divided by the divisor (the number you are dividing by) to get the quotient (the result of the division).
In this case, the dividend is 5 and the divisor is 4.
So, 5 divided by 4 is equal to 1.25:
Five divided by four equal to one point two five.
5 ÷ 4 = 1.25
Hence, 1.25 is the quotient when 5 is divided by 4.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2