Answer:
one solution (2.333, 9.6666)
Step-by-step explanation:
The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x
5x +-2 = 2x + 5 Write the left with 1 sign
5x - 2 = 2x + 5 Subtract 2x from both sides
2x 2x
3x - 2 = 5 Add 2 to both sides
2 2
3x = 7 Divide by 3
x = 7/3
x = 2 1/3
y = 5x - 2
y = 5(2 1/3) - 2
y = 11 2/3 - 2
y = 9 2/3
Are the following triangles similar, Explain your answer
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
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Have a great summer :)
Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0
Answer:
[tex]A(w) = 40w - w^2[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] --- perimeter
Required
Define the area in terms of width
The perimeter of the pool is:
[tex]P =2(l + w)[/tex]
Where:
[tex]l\to length[/tex]
[tex]w\to width[/tex]
So:
[tex]80 =2(l + w)[/tex]
Divide by 2
[tex]40 =l + w[/tex]
Make l the subject
[tex]l = 40-w[/tex]
The area is then calculated as;
[tex]A(w) = l * w[/tex]
Substitute: [tex]l = 40-w[/tex]
[tex]A(w) = (40 - w) * w[/tex]
[tex]A(w) = 40w - w^2[/tex]
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
Answer:
[tex] F(4) = \frac {1}{256} [/tex]
Step-by-step explanation:
Given the following mathematical function;
[tex] F(x) = \frac {1}{4^{x}} [/tex]
When x = 1
[tex] F(1) = \frac {1}{4^{1}} [/tex]
[tex] F(1) = \frac {1}{4} [/tex]
When x = 2
[tex] F(2) = \frac {1}{4^{2}} [/tex]
[tex] F(2) = \frac {1}{4*4} [/tex]
[tex] F(2) = \frac {1}{16} [/tex]
When x = 3
[tex] F(3) = \frac {1}{4^{3}} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
When x = 4
[tex] F(4) = \frac {1}{4^{4}} [/tex]
[tex] F(4) = \frac {1}{4*4*4*4} [/tex]
[tex] F(4) = \frac {1}{256} [/tex]
When x = 5
[tex] F(5) = \frac {1}{4^{5}} [/tex]
[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]
[tex] F(5) = \frac {1}{1024} [/tex]
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
Please help me answer 23, 24, 25 and 26!!!
Answer:
23. c
24.b
25. box 2
26. 48, 26
Step-by-step explanation:
can someone help me with this question
Answer:
What does the question mean can u explain me after that I will help u out in question
Mhanifa or Anyone answer this
Answer:
$8.99
Step-by-step explanation:
14.38 ÷ 2 = 7.19
7.19 + 1.8 = 8.99
Hope this helps
What is the measure of the length of AB
Answer:
5
Step-by-step explanation:
AC = AB + BC
16 = x+1 + x+7
Combine like terms
16 =2x+8
Subtract 8 from each side
16-8 = 2x+8-8
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find AB
AB = x+1 = 4+1 = 5
The product of two rational numbers is 2/5 , if one of them is -8/25, find the other.
With steps explained.
Answer:
x=-5/4
Step-by-step explanation:
Let the number be x and y
x.y=2/5 (The product of two rational numbers is 2/5)
if one of the number is -8/25
x.(-8/25)=2/5
(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x
x=(2/5) *(-25/8)
x=-5/4
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Product of two rational numbers = [tex]\frac{2}{5} [/tex]
One of the number = [tex]\frac{-8}{25} [/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The other number is [tex]\frac{ - 5}{4} [/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]
[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]
[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]
[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]
[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. Estimate how far the hurdles are from one another. Do not include units (meters) in your answer. Round your answer to the nearest whole meter. plzzzzzzzzzzzzzzz help
Answer:
7.5 metres
Step-by-step explanation:
According to the Question,
Given,Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m
Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)
So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.
(12 POINTS)If you can’t help out it would mean so much ty!!!
Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)
Answer:
2y
Step-by-step explanation:
2x-3=2y
2x-2y=3
Answer:
x = 3, y = 1.5
Step-by-step explanation:
Given the 2 equations
x + 2y = 6 → (1)
2x - 3 = 2y → (2)
In (2) subtract 2y from both sides and add 3 to both sides
2x - 2y = 3 → (3)
Adding (1) and (3) term by term will eliminate the y- term
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3 + 2y = 6 ( subtract 3 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5
Which ratio is not equivalent to 3:6?
a. 1:2
b. 4:10
c. 10:20
d. 15:30
Answer:
B. 4:10
Step-by-step explanation:
A. 3:6 is equal to 1:2, which is our given answer for A.
B. Has no equivalent to 3:6
C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.
Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)
Hope this helps, good luck!
what are 2 consecutive odd integers whose sum is 36.
Two consecutive odd integers with a sum of 36 are 17 and 19.
Hope it helps you I'm from ph❤️
Answer:
Two consecutive odd integers with a sum of 36 are 17 and 19.
Step-by-step explanation:
hope i helped
(6√2)(-3√5)
whats the answer
Answer:
- 18[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(6[tex]\sqrt{2}[/tex] )(- 3[tex]\sqrt{5}[/tex] )
= 6 × - 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{5}[/tex]
= - 18 × [tex]\sqrt{10}[/tex]
= - 18[tex]\sqrt{10}[/tex]
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
Fill in the blank.
7.95x10^7 = [ ? ]x 10^6
Answer:
79.5
Step-by-step explanation:
10^7 = 10^6 * 10
then 10*7.95 = 79.5
PLS HELP ASAAPPPP!! will mark brainliest if i can !!
Answer:
2nd option
Step-by-step explanation:
The discriminant b² - 4ac tells us about the nature of the roots
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then the roots are not real
Here b² - 4ac = 15 > 0
Then there are 2 real and distinct roots
x = 2 and x = - 3 are possible solutions to the equation
Answer:
option b) x = 2 and x = -3
Step-by-step explanation:
If discriminant is greater than zero, then the quadratic equation will have two solutions.
If discriminant is equal to zero, then the quadratic equation will have only one solution.
If discriminant is less than zero no solution
Here the discriminant is 15 , which is greater than zero.
Therefore we will have to solutions.
There is only one option with two solutions for x.
So option b is the answer.
In order for the parallelogram to be a
rhombus, x = [?].
(5x - 8°
(2x + 16)°
Answer:
8
Step-by-step explanation:
5x-8 = 2x+16
Move 2x to the left side and you get 3x-8 = 16
Move -8 to the right side and you get 3x = 24
Divide 3 on both sides and you get x = 8
what is 5/8 as a mixed number
Answer:
What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.
Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?
Answer:
Mathew will earn $360.72 from his food
Step-by-step explanation:
We know that:
1 bushel of wheat = $5.40
And Matthew produced 66.8 bushels of heat this year
To find how much Matthew will earn from his field, multiply:
5.40 x 66.8 = 360.72
Therefore he will earn $360.72 from his field.
Hope thjs helps!
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
42, 43, 44, 44, 49, 40, 39
What is the mean?
Answer:
43
Step-by-step explanation:
To find the mean, add up all the numbers
(42+ 43+ 44+ 44+ 49+ 40+ 39)=
301
Then divide by the number of terms
301/7
43
Answer:
mean = 43
Step-by-step explanation:
Mean is given by
mean = sum of all numbers / total no. of terms
substitute the values
mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /
Divide ,
mean = 301 / 7
mean = 43
fine the total surface area left in terms of pie
Answer:
200π cm²
Step-by-step explanation:
Applying,
TSA = πrl+πr²
TSA = π(r²+rl)............. Equation 1
Where TSA = Total surface area, r = radius of the base, l = slight height of the cone
To get l we apply pythagoras theorem
From the diagram,
l² = 15²+8²
l² = 225+64
l² = 289
l = √289
l = 17 cm
Given: r = 8 cm
Substitute these values into equation 1
TSA = π(8²+17×8)
TSA = π(64+136)
TSA = π(200)
TSA = 200π cm²
does anyone know how to do this
9514 1404 393
Answer:
y = -1/2x +4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis, at y=4.
The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.
The slope is ...
m = "rise"/"run" = -1/2
Then the slope-intercept equation is ...
y = mx + b . . . . . slope m, y-intercept b
y = -1/2x +4
Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.
Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.
Step-by-step explanation: Khan Academy
HELP PLSS FAST PLSSSSS
Answer:
function a is linear and its equation is y=(5/3) x
Please help me out this is hard .
Answer:
24.6
Step-by-step explanation:
take 72 degree as reference angle
using tan rule
tan 72 = opposite / adjacent
3.07 = x/8
3.07 * 8 = x
24.56 = x
24.6 = x
Which are possible dimensions of the cylinder?
Answer:
B
Step-by-step explanation:
pls give me brainliest
Answer:
A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.
Option is B
Step-by-step explanation: