By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
How to simplify a product of two binomials with radical numbers
Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:
(√2 + √3) · (√5 - √7) Given(√2 + √3) · √5 + (√2 + √3) · (- √7) Distributive property√2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7) Distributive property√10 + √15 - √14 - √21 (- a) · b = - a · b/ √a · √b = √a · b/ResultBy applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
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Answer:
B is correct
Step-by-step explanation:
Cus I said so
can someone please help and explain its due in a littleee
Answer:
Step-by-step explanation:
Which is a nonlinear relationship
Answer:
D. 4
Explanation:
Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.
As section 4 is curved, it show nonlinear relationship.
What is the area of this trapezoid?
340 cm²
427.5 cm²
440 cm²
487.5 cm²
Answer:
440cm²
Step-by-step explanation:
*Area= (a+b)/2×h
(19+25)/2*20
= _ * 440cm². *_
Answer:
440cm²
Step-by-step explanation:
I believe its right
I need to know which ones are parallel and which ones are perpendicular and the steps thank youu
Answer:
If both equations have the same slope, they are said to be parallel.
If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.
Hope it helps!
In ABC, CT is a median. What is the measure of AB?
Fill in the blank by enter in just a number for your answer.
Answer:
AB = 102
Step-by-step explanation:
the median CT bisects the side AB at T , then
BT = AT , that is
7x + 9 = 5x + 21 ( subtract 5x from both sides )
2x + 9 = 21 ( subtract 9 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
then
AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102
The measure of AB is 102.
How to estimate the measure of AB?
The median CT bisects the side AB at T, then
BT = AT
7x + 9 = 5x + 21
subtracting 5x from both sides of the equation, we get
2x + 9 = 21
subtract 9 from both sides, and we get
2x = 12
Divide both sides by 2, we get
x = 6
then, AB = 5x + 21 + 7x + 9
AB = 12x + 30
Substituting the value of x,
12x + 30 = 12(6) + 30
= 72 + 30
AB = 102
Therefore, the measure of AB is 102.
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helppppppppp markingbrainliest
a)
x×3+4=22
b)
x×3+4=22
x×3=22-4
x×3=18
x=18÷3
x=6
Hope it helps
Answer:
x=6
Step-by-step explanation:
your equation would be X * 3 + 4 = 22
to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped
Can someone please help me with this
Answer:
The last figure.
Answer:
Figure 1, 3 and 6
Point symmetry is when two figures or (equal) parts of a figure lies at a same distance but in opposite direction from a certain point.
The equation y = 180 + 5x represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts purchased and y represents the total cost in dollars. The equation y = 10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. Assuming that the club members sell all the T-shirts they purchase, when will the club make a profit? The following graph represents this situation:
Answer:
36 TSHIRTS is the number for minimum profit
Step-by-step explanation:
Y = Y
180 + 5X = 10X
180 = 10X - 5X
180 = 5X
X = 180/5
X = 36
x = √3 + √2/ √3 - √2
y = √3 - √2/ √3 + √2
Find x² + y²
Answer: 98
Given following:
[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]
[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]
Solve for x² + y²:
[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]
simplify following
[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]
add/subtract similar terms
[tex]\rightarrow \sf 98[/tex]
Question 3 of 10
What else would need to be congruent to show that AABC= AXYZ by ASA?
B
A
C Z
Y
X
Given:
Which graph shows h(x) = f(x)g(x)
The attached graph represents the function h(x), where h(x) = f(x)g(x)
Complete questionConsider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?
How to determine the graph of h(x)?We have
f(x) = x - 6
g(x) = x + 6
The equation h(x) = f(x)g(x) means
h(x) = f(x) * g(x)
So, we have:
h(x) = (x - 6) * (x + 6)
Expand
h(x) = x² - 36
See attachment for the graph of function h(x)
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Answer:
A on edg. 2020
Step-by-step explanation:
Which graph shows h(x) = f(x)/g(x)
In your research study measuring the relationship between time spent playing video games and course grades, you find that grades increase at about the same rate as time spent playing video games decreases. What do you conclude
Research study measuring relationship suggests that video games may have a detrimental effect on an individual's grades.
This study analyzes the correlation between video game usage and academic performance. Scholastic Aptitude Test (SAT) and grade-point average (GPA) scores were used to gauge academic performance. The amount of time a student spends playing video games has a negative correlation with students' GPA and SAT scores. As video game usage increases, GPA and SAT scores decrease.
A chi-squared analysis found a p value for video game usage and GPA was greater than a 95% confidence level (0.005 < p < 0.01). This finding suggests that dependence exists. SAT score and video game usage also returned a p value that was significant (0.01 < p < 0.05). Chi-squared results were not significant when comparing time spent studying and an individual's SAT score. This research suggests that video games may have a detrimental effect on an individual's GPA and possibly on SAT scores. Although these results show statistical dependence, proving cause and effect remains difficult, since SAT scores represent a single test on a given day. The effects of video games maybe be cumulative; however, drawing a conclusion is difficult because SAT scores represent a measure of general knowledge. GPA versus video games is more reliable because both involve a continuous measurement of engaged activity and performance. The connection remains difficult because of the complex nature of student life and academic performance. Also, video game usage may simply be a function of specific personality types and characteristics.
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What is the range of the function shown
in the graph?
The lines shown below are perpendicular. If the green line has a slope of
1/7 what is the slope of the red line?
A.7
B.1/7
C.-7
D. -1/7
Answer:
c: -7
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original line
a way to find this is to flip the numerator and the denominator of a slope and make it negative
1/7 --> 7 --> -7
that would be your slope
can someone please help me?
We have the equation of a line:
[tex]y=-\dfrac{5}{4}x-1[/tex]
The formula of a slope of a line passes through points A, B:
[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\m=\dfrac{y_B-y_A}{x_B-x_A}[/tex]
Complete the table:
Put the values of x to the equation of a line and calculate the value of y:
[tex]x=0\\\\y=-\dfrac{5}{4}\cdot0-1\\\\y=-1\\\\\\x=4\\\\y=-\dfrac{5}{4}\cdot4-1\\\\y=-6[/tex]
Substitute to the formula of a slope:
[tex]m=\dfrac{-6-(-1)}{4-0}\\\\m=\dfrac{-6+1}{4}\\\\\huge\boxed{m=-\dfrac{5}{4}}[/tex]
Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.
Answer:
your question is
z²+1+y where, y=4,z=3
3²+1+4
9+5
14
is your answer
Peter's father told Peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter buy?
Peter should buy 0.4 pound weight package
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.
Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.
We have to find which weight package should Peter buy
The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.
Hence Peter should buy 0.4 pound weight package
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A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
Answer:
132ft^2
Step-by-step explanation:
answer it please!!!!
Answer:
the answer is B
Step-by-step explanation:
I used photo math it shows the correct answer
Answer:
2nd one (B)
Step-by-step explanation:
which shows the correct substitution of the values a, b, and c Dr the equation 0=-3x^2-2x+6 into the quadratic formula? Quadratic formula: x= -b±√b^2-4ac/2a
Answer: Option 1
Step-by-step explanation:
Here, a = -3, b = -2, c = 6.
f(x) = |x – 3| + 6 where is the vertex of the graph
Answer: (3,6)
Rewrite in vertex form and use this form to find the vertex (h,k)
Answer:
(3,6)
Step-by-step explanation:
f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.
f(x) = |x - 3| + 6
has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)
The +6 tacked on to the end shifts the whole graph UP 6.
That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.
A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad
Answer: 41
Step-by-step explanation:
If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.
Thus, the cost of a 12-line ad is 17+2(12)=41
HELP DUE TODAY WORTH 87 POINTS
1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.
2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is
F - 490 N = (50.0 kg) (-4.9 m/s²)
where F is the magnitude of the force due to the scale. Solve for F to get
F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N
and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.
3. With the elevator in free fall, Newton's second law gives
F - 490 N = (50.0 kg) (-9.8 m/s²) ⇒ F = 0 N
and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.
Explain some acceptable reasons for proofs?
Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.
Please help! The formula for the volume of a cylinder is:
Answer:
A
Step-by-step explanation:
isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r
Answer:
r =sqrt(V/ ( pi h) )
Step-by-step explanation:
V = pi r^2 h
We want to solve for r
Divide each side by pi h
V/ ( pi h) = pi r^2 h/ ( pi h)
V/ ( pi h) = r^2
Now take the square root of each side
sqrt(V/ ( pi h) )= sqrt( r^2)
sqrt(V/ ( pi h) )=r
PLEASE ANSWER ASAP!!!!!!
What is the component form of the vector represented by 2a when a⃗ =<−2,3>?
Enter the answer in the boxes.
2a= <__,__>
The complete question is
"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"
The Component form of the vector represented by 2a is (-4,6)
What is the component form of a vector?The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.
Given, a=(-2,3)
By using scalar multiplication,
2a = (2(-2), 2(3))
2a = (-4,6).
Therefore the component form of 2a=(-4,6)
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Are survival rates independent of gender within similar passenger classes ?
Answer:
yes
Step-by-step explanation:
Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33.
Answer:
n = 250
See solution and check blow.
Step-by-step explanation:
Solution:
-17 + n/5 = 33
Add 17 to both sides.
-17 + 17 + n/5 = 33 + 17
n/5 = 50
Multiply both sides by 5.
n/5 × 5 = 50 × 5
n = 250
Check:
-17 + n/5 = 33
Since we found out that n = 250, substitute 250 for n in the equation.
-17 + 250/5 = 33
Simplify the left side. Divide 250 by 5.
-17 + 50 = 33
Add on the left side.
33 = 33
Since 33 = 33 is a true statement, the solution n = 250 is correct.
If 4y = 3x - 1, then x = ?
Answer:
[tex]x = \frac{4y + 1}{3} [/tex]
The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.
Then you divide both sides by 3, making the equation (4y + 1)/3 = x
If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.
Question 3 of 10
Which choice represents the simplified exponential expression?
(12-4)8
OA. 12-32
B. 12-12
O C. 12
OD. 124
The correct value that equates to this expression is 12‐³². Letter A
.
To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]
Resolution[tex]{ = \large \sf (12{}^{-4} ) {}^{8} } [/tex]
[tex]{ = \large \sf 12{}^{-4 \times 8} } [/tex]
[tex] \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ [/tex]
Therefore, the answer will be 12‐³²