The common difference d is
(41–11) / (10–5) = 6.The first term is
11 - 6(5–1) = -13.so , the first term is -13
Answer:
-13Step-by-step explanation:
The fifth term:
[tex]a_5=a+4d = 11[/tex]The 10th term:
[tex]a_{10}=a+9d=41[/tex]Subtract side-by-side and find d:
9d - 4d = 41 - 115d = 30d = 6Find the first term:
a = 11 - 4*6 a = 11 - 24a = - 13Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.
Figure B
Step-by-step explanation:The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.
round 73.03 to the 1 decimal place
Answer:
The answer is 73.0 or just 73
What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Is this a function? Easy points
Subtract -2x² from the sum of 4x² and 15x².
Answer:
Step-by-step explanation:
(4x²+15x²)-(-2x²)=19x²+2x²=21x²
Answer:
[tex]21x^{2}[/tex]
Step-by-step explanation:
[tex]4x^{2} +15x^{2} --2x^{2}[/tex]
[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive
[tex]21x^{2}[/tex].................................combine like terms
A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps
Step-by-step explanation:
the circumference of a circle is
C = 2×pi×r
with r being the radius.
the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is
4×22 = 88 cm.
now, it is the same wire of the same length that is now forming a circle.
so, the circumference of the square is also the circumference of the circle.
therefore,
88 = 2×pi×r
44 = pi×r
r = 44/pi = 14.00563499... cm
so, rounded, radius = 14 cm.
Answer:
The other answer is correct
Step-by-step explanation:
The circumference of the circle and the square will be the same so you solve the equation
4*22 = 2 pi r where r is the radius.
simplify √ 18 + √ 20 - √ 45
Answer:
3√2 - 4√5 -
ig this is the answer
Answer:
3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
---------------------------
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
------------------------
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
2.
Find the slope of the line that passes through the points (4,2) and (4,10)
Answer:
The slope is unidentified
Step-by-step explanation:
The equation of the line is x=4
find meh x pls 10 points Uwu
−5/6=−1/4−7/10x
answer is 5/6
Step-by-step explanation:
multiplying by 60, we get,
50=15+42x
we can simplify it, 42x= 35,or x=5/6
Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.
Answer:
-5.3 x 10^2
Step-by-step explanation:
I believe that is the answer
In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1
Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .
Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).
Answer:
4.7
Step-by-step explanation:
what is the value of 8x + 2x when x is 6
Answer:
The answer is 60
Step-by-step explanation:
8x + 2x
x = 6
Substitute the value of x
8(6) + 2(6)
48 + 12
= 60
So basically 8x has a missing number and that missing number is 6 meaning that you need to multiply so you would multipy 8 times 6 and would get 48
Now that you have that answer you would do the next one which is 2 times 6 and thats 12 then you add 48 and 12 together making that 60 and your answer is 60.
Simpler
8 x 6 = 48
2 x 6 = 12
48 + 12 = 60
Definition: The points where a graph intersects the x-axis are called it’s __.
Answer:
zeroes or x-intercepts
Step-by-step explanation:
What is the greatest common factor of 49, 62 and 80?
Answer:
literally 1
Step-by-step explanation:
scooby ate my scooby snax
Answer:
Your answer is...
1.Step-by-step explanation:
To find the greatest common factor, you have to list the prime factors of each number. That is how you find any GCF.
can someone help me on this one plss i REALLY need this for school
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
Someone plz help me :(
Answer:
it is answer A
Step-by-step explanation:
answer A has the correct ordered pairs on the correct lines, and in the correct order, the others either have the lines, or the order, or the ordered pair in general mixed up.
what the answer to 1024/32
Answer:
32
Step-by-step explanation:
A pancake recipe calls for 4 cups of flour and 3 cups of milk. Does a recipe calling for 2 cups of flour and 1.5 cups of milk use the same ratio of flour to milk?
Answer:
I think the answer is Yes
Step-by-step explanation:
For example, 2 cups of flour can equal 4 cups of flour by multiplying by two. So 1.5 cups of milk, you multiply by two and it is equivalent to 3 cups of milk. So in the end, it is equal and it's basically half of the pancake recipe. Hope it helps!
Graph the following features:
Slope = -3/4 y intercept: -3
Answer:
The graph is attached
Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer: First bag unit price: 1.78
second bag unit price : 1.83
Step-by-step explanation:
divide the price by the weight. First bag is better
Find the measure of each angle indicated.
Please show your work
What series of transformation will not map figure H onto itself
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
For a Brainly please help me out
Answer:
y = –(1/2)x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
When the slope is the same the lines are parallel
here the slope is –1/2
therefor
y = –(1/2)x + 7 is parallel
I am stuck. The screenshot will explain
I need help with this! Please asap
Answer:
1:Not
2:Not
3:Not
4:Not
5:Viable
6:Viable
7:Viable
8:Viable
9:Viable
10:Not
Step-by-step explanation:
Need help will give brainleist
f(10) basically means when x =10 what is our y value
in this case Y= 5
Which fractions are equivalent to 1/5?
Select each correct answer.
2/8
2/10
20/100
3/12
Answer:
2/10&20/100
Step-by-step explanation
hope it helps
please mark brainliest
list three rational number between -3 and -2
correct answer needed full explanation
Answer:
-3×4= -12
-2×4= -8
three rational number between them are -11 , -10 , -9
Step-by-step explanation:
hope that it will help you
The rational numbers between -3 and -2 are;
-5/2, -9/4 and -11/4
Rational NumbersRational numbers are numbers that can be represented as the quotient of two integers but not equal to zero.
Now, to find the rational number between -3 and -2, we will use the formula;
x = ½(a + c)
x = ½(-3 + (-2))
x = -5/2
Another rational number is;
x = ½(-(5/2) + (-2))
x = ½(-9/2)
x = -9/4
Using the same pattern, we can still get another one as -11/4
In conclusion, the three rational numbers will be -5/2, -9/4 and -11/4
Read more about rational numbers at; https://brainly.com/question/12088221
what is the answer??????
Answer:
15 percent
Step-by-step explanation: