answer is the last one D
pls mark brainliest
The answer is D good luck
-2x+15y=-24
2x+9y=24
Answer:
x = 12 and y = 0
Step-by-step explanation:
Use elimination by adding the equations together.
-2x + 15y =-24
2x + 9y = 24
---------------
24y = 0
y=0
Then substitute y = 0 into one equation to find x.
-2x + 15(0) = -24
-2x + 0 = -24
-2x = -24
x = 12
Answer: x = 12 y = 0
Step-by-step explanation:
Can anyone help me please?
Which expression can be used to find the area of a circle with a diameter of 30 cm?
a. π • 30
b. 2 • π • 15
c. π • 30^2
d. π • 15^2
Answer:
its b
Step-by-step explanation:
Answer:
2 × pi or (π) × 15 = 30 cm
Step-by-step explanation:
Louis spins the spinner twice. Which probability are correct? Check all that apply
Answer:
Step-by-step explanation:
Only first one
P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]
These probabilities are correct.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
According to the question
Louis spins the spinner twice.
Total number of favorable outcomes = {OB, OO, OB,OG, BB, BO, BB, BG, GG, GB, GO, GB, BB, BO, BB, BG} = 16
P(both green) :
Number of favorable outcomes = 1
P(both green) = [tex]\frac{1}{16}[/tex]
It is applicable.
P(both blue) :
Number of favorable outcomes = 4
P(both blue) = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
It is applicable.
P(first green and then blue) :
Number of favorable outcomes = 1
P(first green and then blue) = [tex]\frac{1}{16}[/tex]
P(first orange and then blue) :
Number of favorable outcomes = 2
P(first orange and then blue) = [tex]\frac{2}{16}=\frac{1}{8}[/tex]
It is applicable.
P(first orange and then green) :
Number of favorable outcomes = 1
P(first orange and then green) = [tex]\frac{1}{16}[/tex]
Hence,
P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]
These probabilities are correct.
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Your friend pulls out a huge home baked pizza from the oven and tells you the area is a=625(pi)cm2. What is the diameter of this pizza
Answer:
Diameter = 50 cm
Step-by-step explanation:
We are given that the area of a home bakes pizza is [tex] 6 2 5 \pi cm ^ 2[/tex].
Here, we are assuming that the pizza is circular and we know that the area of a circle is given by: [tex]\pi r^2[/tex]
So equating the given value to find the value of the diameter.
[tex]\pi r^2[/tex] [tex]=625\pi[/tex]
[tex]r^2=625[/tex]
[tex]r=\sqrt{625}[/tex]
[tex]r=25[/tex]
If the radius is 25 cm, then diameter = 25 × 2 = 50 cm
Answer:
The diameter of the pizza= 50 cm
Step-by-step explanation:
Points to remember
Area of circle = πr²
Where r is the radius of circle
It is given that, area of pizza is 625π cm²
A pizza is like a circle.
Find the radius of pizza
Area = πr²= 625π cm²
r² = 625π/π = 625
r = √625 = ±25
radius r = 25cm
To find the diameter of pizza
Diameter = 2r = 2 * 25 = 50 cm
I don’t know how to start it.
Answer:
36°
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A:∠B:∠C = 8:10:12 = 8x:10x:12x
8x + 10x + 12x = 180
20x = 180
x = 9
∠A = 8x = 8 × 9 = 72°
∠B = 10x = 10 × 9 = 90°
∠C = 12x = 12 × 9 = 108°
∠C - ∠A = 108 -72 = 36 °
The difference between the largest and the smallest angle is 36°.
(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph
(-9,-2) y=-4x+1
Answer:
y = -4x - 38
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\[/tex]
Apply the distributive property to find the slope intercept form.
y + 2 = -4(x+9)
y + 2 = -4x - 36
y = -4x - 38
rewrite lnx=4 as an exponential equation
rewrite as a logarithmic equation: e^8=y
[tex]\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ln(x)=4\implies log_e(x)=4\implies e^4=x \\\\\\ e^8=y\implies log_e(y)=8\implies ln(y)=8[/tex]
m∠A=(x+45)°,
mKE =(x+20)°,
mEW=(3x)° ,
Find: mKW.
Answer:
The measure of the arc KW is [tex]160\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m<A=\frac{1}{2}(arc\ KE+arc\ EW)[/tex]
substitute the values and solve for x
[tex](x+45)\°=\frac{1}{2}(x+20+3x)\°[/tex]
[tex](2x+90)\°=(4x+20)\°[/tex]
[tex]4x-2x=90\°-20\°[/tex]
[tex]2x=70\°[/tex]
[tex]x=70\°/2=35\°[/tex]
Find the measure of the arc KW
[tex]arc\ KW=(arc\ KE+arc\ EW)=(4x+20)\°[/tex]
substitute the value of x
[tex]arc\ KW=4(35\°)+20\°=160\°[/tex]
What is the product?
Answer:
So option B is the correct answer .
Step-by-step explanation:
Since it is the multiplication of 1 X 3 matrix to 3 X 3 order matrix,
so the resultant product should be 1 X 3 because when we multiply two matrices it is the condition that if A is of order p X q and B is of order q X r,
the product matrix (suppose C ) will be of order p X r.
so the product will be
= [-1*3+2*2+4*0 -1*6+2*4+4*6 -1*1+2*0+4*2]
= [ 1 26 7] .
PLS HELP!!
A circle is centered at point (-7,-1) and passes through the point (8,7).
The radius of the circle is _____ units. The point (-15,___) lies on this circle.
Answer:
Part 1) The radius of the circle is [tex]17\ units[/tex]
Part 2) The points (15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
Part 1
we know that
The distance between the center of the circle at point (-7,-1) and the point (8,7) is equal to the radius of the circle
so
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute the values
[tex]r=\sqrt{(7+1)^{2}+(8+7)^{2}}[/tex]
[tex]r=\sqrt{(8)^{2}+(15)^{2}}[/tex]
[tex]r=\sqrt{289}}[/tex]
[tex]r=17\ units[/tex]
Part 2
we know that
If the point (-15,y) lies on the circle, then the ordered pair must be satisfy the equation of the circle
The equation of the circle is equal to
[tex](x+7)^{2}+(y+1)^{2}=17^{2}[/tex] -----> equation of the circle in center radius form
substitute the value of x=-15 in the equation and solve for y
[tex](-15+7)^{2}+(y+1)^{2}=289[/tex]
[tex]64+(y+1)^{2}=289[/tex]
[tex](y+1)^{2}=289-64[/tex]
[tex](y+1)^{2}=225[/tex]
[tex]y+1=(+/-)15[/tex]
[tex]y=-1(+/-)15[/tex]
so
[tex]y=14[/tex]
[tex]y=-16[/tex]
therefore
The points (15,14) and (-15,-16) lies on this circle
see the attached figure to better understand the problem
Answer:
Part 1) The radius of the circle is
Part 2) The points (15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
x+y=70
65x+15y=2400
solve by substitution
please show work very important thank you so much
The solution is
x = 27 and y = 43
Step-by-step explanation:See the image
2. The two figures are similar.
a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain.
Answer:
Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure.(the scale factor is greater than 1)
Part c) The scale factor is [tex]3[/tex]
Step-by-step explanation:
Part a) Write the similarity statement
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
substitute the values
[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45'}[/tex]
[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3'}[/tex] ----> is true
therefore
the figures are similar
Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure. (the scale factor is greater than 1)
Part c) we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z------> the scale factor
x-----> corresponding side of the image
y------> corresponding side of the original figure
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=A'B'=27\ units[/tex]
[tex]y=AB=9\ units[/tex]
substitute
[tex]z=\frac{27}{9}=3[/tex]
The scale factor is greater than 1
therefore
Is an enlargement
Answer:(A) ab/a’b’=bc/b’c’=ac/a’c’ (B) Figure a’b’c’ is an enlargement because it increase it’s sides larger than 1. (C) So we have to divide to get the scale factor for both of these figures 18/6=3 then you found the scale factor 3.
Step-by-step explanation:
Jayla buys and sales
Answer:
There is no question
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere.
ANSWER
[tex]V_{cone}=\frac{1}{3} \pi t^2k[/tex]
EXPLANATION
The volume of a cylinder is given by
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the given cylinder is r=t.
The height of the cylinder is h=k.
The volume of the given cylinder is
[tex]V_{cylinder}=\pi t^2k[/tex]
The volume of a cone with the same base radius and height is
[tex]V_{cone}= \frac{1}{3} \pi t^2k[/tex]
Answer:
The correct answer is Option 2
1/3 πt²k
Step-by-step explanation:
points to remember
Volume of cone = 1/3 πr²h
Where r - Radius of cone and
h - Height of cone
To find the volume of given cone
Here radius of cone r = t and
Height of cone h = k
Therefore we can write,
volume of cone = 1/3 πr²h = 1/3 πt²k
Therefore the correct answer is option 2
A line segment with endpoints (5,8) and (-6,8) is rotated around the origin 270 clockwise how long will the new segment be?
A rotation doesn't change the length of anything.
The length of the rotated line segment would be the same as the original line segment.
Because both Y values are the same, you just need to calculate the length of the X values.
5 to 0 = 5
0 to -6 = 6
Total length = 5 +6 = 11 units long.
Someone help me please
Answer:
Look at the picture
Step-by-step explanation:
[tex]\log_ab=c\iff a^c=b\\\\\text{Therefore}\\\\f(x)=b^x\to y=b^x\\\\\text{find}\ f^{-1}(x).\ \text{Exchange}\ x\ \text{and}\ y\ \text{and solve for}\ y:\\\\b^y=x\qquad\text{logarithm iwth base b of both sides}\\\\\log_bb^y=\log_b(x)\qquad\text{use}\ \log_ab^m=m\log_ab\\\\y\log_bb=\log_b(x)\qquad\text{use}\ \log_aa=1\\\\y=\log_b(x)\\\\f^{-1}(x)=\log_b(x)\to g(x)=f^{-1}(x)\\\\\text{Then:}\ f(a)=b\to g(b)=a[/tex]
What is the answer????
ANSWER
f(x) is an odd function.
EXPLANATION
The given function is symmetric with respect to the origin.
Hence it is an odd function.
We can also see from the graph that,
[tex]f(1) = 2[/tex]
and
[tex]f( - 1) = - 2[/tex]
This implies that,
[tex]f( - 1) = - f(1)[/tex]
Since
[tex]f( - x) = - f(x)[/tex]
the function is odd.
The correct answer is A.
The area of a circular trampoline is 112.07 square feet. What is the radius
Answer: The correct answer is B. 5.97 feet
Step-by-step explanation:
Formula⇒A=π r2
* Hopefully the work helps:) Mark me the brainliest;)!!!
Answer:
5.97 feet
Step-by-step explanation:
Set up your equation as 112.07 = Pi*r^2
To simplify, divide 112.07 by Pi or an approximation of it and then find the square root of your answer.
112.07 = Pi*r^2
112.07/Pi = r^2
(112.07/Pi)^0.5=r
Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of nineteen and a half hours. If she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?
Answer:
2 hours per day
Step-by-step explanation:
19.5 - 5.5 = 14
14 / 7 = 2 hours per day
Mary needs to rehearse 2 hours per day for the next 7 days to meet her total rehearsal goal.
To calculate the total rehearsal time for Mary:
She has rehearsed for 5.5 hours.
She wants to rehearse a total of 19.5 hours.
Therefore, 19.5 - 5.5 = 14 hours
She needs to rehearse an additional 14 hours in the upcoming week.
To find out how many hours Mary must rehearse per day in the next 7 days:
14 / 7 = 2 hours/day
Round 281 to the nearest whole number
Answer:um i belevie it is 300
Step-by-step explanation:
hope this helps
Answer:
281 is already a whole number
Step-by-step explanation:
There is no decimal point
Hope your day is great!
Would you use more centimeters or meters to measure the length of a car? Explain.
Answer:
Meters
Step-by-step explanation:
Because centimeters are to small to be a reasonable measurement for a car so you would have to use meters
If 6 pencils cost $3.60 what is the unit price of the pencils
The unit price of one pencil is $0.60.
Explanation:The cost of one pencil (the unit price) can be found by dividing the total cost by the number of pencils. In this case, we have $3.60 divided by 6. This gives us a unit price of $0.60 per pencil.
Step by step solution
Identify the total cost, which is $3.60, and the total number of pencils, which is 6. Divide the total cost by the total number of pencils: $3.60 ÷ 6 = $0.60. Therefore, the unit price for these pencils is $0.60 each.Learn more about Unit Price here:
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Answer dis in a big hurry and will give brainliest!!!
help please asap thanks
Answer:B
Step-by-step explanation:Probably not A
B,C,D are probably the ones
but i think its b
If 3x-6=21, what is the value of x-2?
A. 3
B. 5
c. 7
D. 11
Answer:
[tex]\large\boxed{c.\ 7}[/tex]
Step-by-step explanation:
[tex]3x-6=21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}-\dfrac{6}{3}=\dfrac{21}{3}\\\\x-2=7[/tex]
I don’t get how the answer is one..
not sure how to factor/reduce what I was able to reduce to equal 1
Did I do something wrong
Answer:
see explanation
Step-by-step explanation:
Factorise the numerators on both fractions
a² + 10a + 25 = (a + 5)(a + 5) ← perfect square
a² - 25 = (a - 5 )(a + 5) ← difference of squares
To divide, leave the first fraction, change division to multiplication and turn the second fraction upside down.
Hence
= [tex]\frac{(a+5)(a+5)}{a+5}[/tex] × [tex]\frac{a-5}{(a-5)(a+5)}[/tex]
Cancel both the (a + 5) factors on the numerator/ denominators and the (a - 5) factor on the numerator/denominator, leaving
= 1 ← as required
find the product: (2/3)(5/3)(21)
Answer:
Here is the following answers I got.
Step-by-step explanation:
(70/3)
23.3333
23 1/3
What is the approximate circumference of a circle with the diameter of 6
Circumference= [tex]2\pi r[/tex]
If the diameter is 6 the radius will be 3
[tex]2\pi (3)[/tex]
Circumference= 18.85
Hey there!
The formula for circumference is πd, where d is diameter.
We are given that the diameter is 6, so the circumference is 6π.
However, we are asked for the approximate circumference, not the exact.
So, let's use 3.14 as π and simplify.
6 x 3.14 = 18.84
The approximate circumference of a circle with the diameter of 6 is 18.84.
Hope this helps!
Which expression does the fraction 3/8 represent?
1.8/3 2.3-8 3. 3/8 4. 3*8
Answer:
Im gonna guess and say it is answer 3.
Step-by-step explanation:
Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present age in terms of Clive’s age?
A.
2c − 3
B.
2c + 6
C.
2(c − 3)
D.
2c + 3