Answer:
Step-by-step explanation:
(3-1)/(-2-3)= -2/5
y - 1 = -2/5(x-3)
y - 1 = -2/5x + 6/5
y - 5/5 = -2/5x + 6/5
y = -2/5x + 11/5
standard form is
5y = -2x + 11
2x + 5y = 11
Wouldn’t it be angle C?
Answer:
angle F
Step-by-step explanation:
so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.
Angle E would be alternate interior, not same side interior.
angle B is supplementary to angle D
therefore, the answer is F
Determine the center and radius of the following circle equation:
x ^2+y ^2 −18x+4y+60=0
Answer:Use the quadratic 'Complete the Square' method
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation:
will mark brainliest answer for fastest answer given
Answer:1/8
Step-by-step explanation:
there are 8 slices and its asking for the probability of one number. so its 1 out of 8
Answer: 1/4
Step-by-step explanation:
3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.
2/8 = 1/4
can anybody spare dome time to help me?
Answer:
y = x² -8x + 16
Step-by-step explanation:
y = (x -4)^2
y = (x -4) * (x -4)
use the FOIL method
y = x*x -4x -4x +16
y = x² -8x + 16
A triangle has side lengths 4.47 cm, 4 cm, and 4.47 cm. The angles measures are 64°, 64°, and 52°. What type of triangle is this triangle? Acute isosceles obtuse scalene acute scalene obtuse isosceles
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
They are all less than 90 degrees and two of the sides are the same and two of the angles are the same
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
bro get smart stop cheating
The point P=\left(-\frac{1}{2},\,\, y\right)P=(− 2 1 ,y) lies on the unit circle shown below. What is the value of yy in simplest form? X y (1, 0) P (x, y
Answer:
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Step-by-step explanation:
We are given a point P which lies on a unit circle
P = (-½, y)
Where x coordinate is -½ and y coordinate is y.
We are asked to find the value of y in simplest form.
Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).
The equation of the unit circle is given by
[tex]x^{2} + y^{2} = 1[/tex]
Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.
Substitute x = -½ and y = y
[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]
Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Therefore, the coordinates of the point P are
[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]
How long is Y Z?
Any help will be appreciated thank you
Answer:
This is a special triangle. It is a 30 60 90 degree triangle. I would google more about it. I don't have much more time to work it out. I hope this helps. Have a great rest of your day!
The absolute value of -1/4 is
Answer: 1/4
Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.
the perimeter of a circle is 132 calculate its diameter
Answer:
42
Step-by-step explanation:
The perimeter of circle is same as it’s circumference.
Circumference = π * D
132 = 22/7 * D
22D = 7 * 132
22D = 924
D = 924/22
D = 42
Answer:
42.0
Step-by-step explanation:
For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula
⇒ Circumference of a circle = π × d
We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,
⇒ Form the equation
→ π × d = 132
⇒ Divide both sides by π to isolate d
→ d = 42.0169049763
The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place
Evaluate 3x^3 - 5y^2 x=5 y=2
Could use some quick help I don't really know what i'm doing wrong.
Answer:
355
Step-by-step explanation:
3[tex]x^{3}[/tex]-5[tex]y^{2}[/tex]=3*5³-5*2²
3*5³-5*2²=3*125-5*4
3*125-5*4=375-20
375-20=355
Answer:
355
Step-by-step explanation:
3-5=3*5³-5*2²
3*5³-5*2²=3*125-5*4
3*125-5*4=375-20
375-20=355
Do 3,4 for 5-8 points.
Answer:
45+46+47
-2+-3+-4
Step-by-step explanation:
please help me asap!!!!! 4x^{2} -144
Answer:
x=6
Step-by-step explanation:
First you square root the whole problem to get
2x-12=0
then you add 12 to both sides
2x=12
then you divide both sides by two to get
x=6
Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6,3). Which point on the y-axis could be on the edge of the circle of the distance from the center of the circle to the edge is 10
Good evening
Answer:
(0 , 5) and (0 , 11)Step-by-step explanation:
Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:
[tex]\left \{ {(x-6)^{2} +(y-3)^2=10^{2} } \atop {x=0}} \right.[/tex]
Then
(0-6)² + (y-3)² = 100
then
36 + (y-3)² = 100
then
(y-3)² = 100 - 36
= 64
then
|y-3| = 8
then
y - 3 = 8 or y - 3 = -8
then
y = 11 or y = 5
then the only points that are on the edge of the circle and on y-axis are:
(0 , 5) and (0 , 11).
:)
Answer:
(0, –5)
Step-by-step explanation:
If you don't see this option there is another option, (0 , 11) is also correct
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
what is the value of x in the equation 3-2x=-1.5
Answer:
3-2x=-1.5
add -3 on both sides
-3+3-2x=-1.5+3
-2x=1.5
x=1.5/-2
Answer:
x= 9/4
Step-by-step explanation:
3 - 2x = -1.5
-2x = -4.5
x = 4.5/2
Simplified x = 9/4
Dexter mows his law every 12 days and washes his windows every 30 days. He mowed his lawn and washed his windows today.How many days from now will it be until he mows his lawn and washes the windows on the same day
Answer:
60 days
Step-by-step explanation:
To find when the two actions will happen together again, we just need to find the least common multiple of 12 and 30.
To do this, first we factor them in prime numbers:
12 = 2 * 2 * 3
30 = 2 * 3 * 5
Now we choose one of them and add the prime factors that the number chosen does not have from the other.
If we choose 30, we should add a number 2, so 2 * 30 = 60
If we choose 12, we should add a number 5, so 12 * 5 = 60
So after 60 days Dexter will mow his lawn and wash the windows on the same day.
square root of 52 to the nearest 100th
Answer:
7.211
Step-by-step explanation:
Their vehicles was recorded for each sample. The sample proportions were used to construct the 95 percent confidence interval for a difference in population proportions (FWD minus AWD ) for satisfied owners. The interval is given as (−0.01,0.12) . A car company believes that the proportion of satisfied owners of AWD AWD vehicles differs from the proportion of satisfied owners of FWD FWD vehicles. Does the confidence interval provide evidence that this belief is plausible?
Answer:
[tex] -0.01 \leq p \leq 0.12[/tex]
The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/
For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained
Step-by-step explanation:
The confidence interval for the true proportion would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
And for this case we have the following result:
[tex] -0.01 \leq p \leq 0.12[/tex]
The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/
For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained
PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.
Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.
A. There is no association between using social media and grade level.
B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.
D. An 8th grader is more likely to use social media than not.
E. Knowing a student’s grade level does not help determine if he or she uses social media.
What is Probability?Probability is the ratio of the favorable outcomes to the total outcomes.
Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.
We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.
Probability of using social media by a 9th grader is-
P(9) = 0.81 / 1 x 100 = 81%
Probability of using social media by a 8th grader is-
P(8) = 0.84 / 1 x 100 = 84%
We cannot define the usage of social media depending on the grade level.
Thus, Options A, B, D, and E are correct answers.
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The table is attached
Question 28
Let be an angle in quadrant such that.
Find the exact values of and.
Answer:
see explanation
Step-by-step explanation:
Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0
Using the identity
sec x = [tex]\frac{1}{cosx}[/tex] , then
cos x = - [tex]\sqrt{1-sin^2x}[/tex]
= - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus
secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]
---------------------------
Using the identity
tan x = [tex]\frac{sinx}{cosx}[/tex] , then
tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]
The value of sec(x) is (5/4) and tan(x) will be (-3)(4).
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.
The six trigonometric ratios are the source of all fundamental trigonometric identities.
The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-
sec(x) = 1 / cos(x)
[tex]cosx = \sqrt{1-sin^2x}[/tex]
[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]
cos(x) = 4 / 5
sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)
The value of tan(x) will be calculated as:-
tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )
tan(x) = (-3/4)
Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).
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The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? D = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
Answer:
distance = 5 units
Step-by-step explanation:
In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.
Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:
[tex]distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:
C=(-1,4)
[tex]x_{1}=-1[/tex]
[tex]y_{1}=4[/tex]
and for point D
D=(2.0)
[tex]x_{2}=2[/tex]
[tex]y_{2}=0[/tex]
so we can now use those values in our distance formula so we get:
[tex]d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}[/tex]
[tex]d=\sqrt{(3)^{2}+(-4)^{2}}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
d=5 units.
Answer:
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
5 units
Step-by-step explanation:
Just did it on Edg
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4 −2 ⋅4 −3 ) 3 left parenthesis, 4, start superscript, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed. \begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned} =(4 −2 ⋅4 −3 ) 3 =(4 −5 ) 3 =4 −2 = 4 2 1 Step 1 Step 2 Step 3 Did Chris make a mistake? If so, in which step? Choose 1 answer: Choose 1 answer: (Choice A) A Chris did not make a mistake. (Choice B) B Chris made a mistake in Step 1. (Choice C) C Chris made a mistake in Step 2. (Choice D) D Chris made a mistake in Step 3.
Answer: Chris made a mistake in step 2
(It was in Khan Academy)
Answer:
Chris made a mistake in step 2.
Step-by-step explanation:
I was solving this problem just now and I searched it up here. Now I got the answer :)
plzzzzzzzzzzzzzzaaaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]3x^2+5x+2=0[/tex]
[tex]x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1[/tex]
Therefore, the answer is choice A. Hope this helps!
Plz Help meee!!!
Factor the Trinomial
x^2+12x+27
Answer:
(x + 9)(x + 3)
Step-by-step explanation:
Factor 27 so that the factors, when combined, will equal 12:
x² + 12x + 27
x 9
x 3
(x + 9)(x + 3) is your answer.
Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:
(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)
~
Answer:
(x+9)(x+3)
Step-by-step explanation:
first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways
you need to find two numbers so that it adds up to 12, but also multiplies to 27.
The numbers 9 and 3 fit the situation
So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.
so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms
x ( x + 9 ) <---factor of first two terms
3 ( x + 9) <---factor of last two terms
x(x+9)+3(x+9)
you notice that (x+9) is common in both factorized parts
so, you add x and 3 from the outside
and you get (x +3 ) (x+9)
Find the volume of the figure. Use 3.14 for pi.
Answer:
10082.36cm²
Step-by-step explanation:
The formula for volume of a cone: V = [(3.14) r²](h/3)
Steps:
1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm
2. Find the value of the height: 31cm
3. Plugin: [(3.14) 13²] (31/3)
Solve for the volume of the cone:
a) 13² = 169
b) 169(pi) = 530.66
c) 530.66 (31/3) = 530.66 (10.3333)
Volume of cone: 5483.31
The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]
Steps:
1. Find the value of the radius: 13cm
2. Solve for the volume of the hemisphere
1. 13x13x13 = 2197
2. 2197 (3.14) = 6898.58
3. (4/3) 6896.58 = 9198.1067
4. (1/2) 9198.1067 = 4599.05
Add the two volumes together:
4599.05+5483.31 = 10082.36cm²
This took forever since I used the google calculator, but it got done after forever! Hope this helps!
The Volume of the figure is 10,082.53 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is a three-dimensional quantity used to calculate a solid shape's capacity.
We have a cone surmounted by Hemisphere.
So, Volume of Figure
= Volume of Cone + Volume of Hemisphere
= 1/3 πr²h + 2/3 πr³
= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13
= 5,483.48 + 4,599.05
= 10,082.53 cm³
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Simplify 8+7/8x−1−1/2x.
Answer:
7 + 3/8x
Step-by-step explanation:
8+7/8x−1−1/2x.
Combine like terms
8-1 + 7/8x -1/2x
7 + 7/8x -1/2x
Get a common denominator
7 + 7/8x -4/8x
7 + 3/8x
How do you write 7.01 in scientific notation?
Answer:
7.01×10'0
snap. Jona_Fl16
Answer: 7.01×10^0
Step-by-step explanation:
7.01×10^0=7.01
7.01*1
7.01
