Solve each equation for y .
(3/4)y=15 x

The value of x to the nearest tenth is 8.9 cm.

The radius of the circle is 5 centimetres. Line segment ab is a diameter of the circle.

The diameter of the circle is twice the length of the radius.

Hence, the value of x can be found as follows:

AB = 10 cm

Using Pythagoras theorem,

c² = a² + b²

where

Therefore,

10² - 4.5² = x²

100 - 20.25  = x²

x² = 79.75

x = √79.75

x = 8.93028554975

x = 8.9

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Yes, Seeta is right  a  takes puzzle in 3 minutes 45 seconds time

3 x 60 = 180 + 45 = 225 seconds.

Seeta's time. 7 x 60 = 420 + 28 = 448 seconds. Nina's time.

if you times the 448 by 2 it =224.

Yes, Seeta is right.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the longer term.

Time is a quantity that is a part of several measurements that are used to compare the length of events or the gaps between them,  to match how long they last, to order events, and to live how quickly things change in the real world or in our conscious experience.  together with the three spatial dimensions, time is usually referred to as a fourth dimension.

Time has long been an important topic of study in philosophy, theology, and science, but scholars haven't been able to define it in a way that is applicable to all of these disciplines without becoming circular. Nevertheless, numerous industries and business domains.

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The formula for finding the sum of a geometric series is:

S n = a₁ (1-rⁿ )/(1-r)

The four quantities in the formula are S n, a₁, r, n

An infinite geometric series is the outcome of an unlimited geometric sequence. An infinite geometric series is the outcome of an unlimited geometric sequence. This series wouldn't have a finish. It is possible to calculate the sum of all finite geometric series.

The terms in the sequence will grow steadily larger, but adding the larger numbers together will not provide a solution if the common ratio of an infinite geometric series is greater than one.

The formula for finding the sum of a geometric series is:

S n = a₁ (1-rⁿ )/(1-r)

The four quantities in the formula are S n, a₁, r, n

The description is as follows:

n be the number of terms

a₁ be the first term

r be the common ratio

[tex]S_n[/tex] be the sum of a geometric series

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Answer:

Step-by-step explanation:

y = mx + b is the equationof the line where m is the slope and b is the y intercept

slope between t points = (8 - 0)/ (3 -1 )

= 8/2

=  4

y = 4x + b

substitute (1,0) in the equation to get b

0 = 4(1) + b

b = -4

equation will be y = 4x -4

The coordinate of intersection with the x-axis is: (-3, 0).

The coordinate of intersection with the y-axis is: (0, 6).

The area of the triangle is 9 unit²

A linear equation is defined as an equation in which the highest power of the variable is always one.

The linear equation is given as:

y = 2x+6

Intersection with the y-axis

Substitute, x = 0

⇒ y = 2x + 6

⇒ y = 2(0) + 6

⇒ y = 6

As a result,: y = 2x+6 intersects with the y-axis at (0, 6)

Intersection with the x-axis

Substitute, y = 0

⇒ y = 2x + 6

⇒ 0 = 2x + 6

⇒ 2x =  - 6

⇒ x = - 3

As a result,: y = 2x + 6 intersects with the x-axis at: (-3, 0)

The area of the right-angled triangle

The area is calculated as:

Area of triangle = 1/2×Base×Height

Area of triangle = 1/2×3×6

Area of triangle = 9 unit²

The coordinate of intersection with the x-axis is: (-3, 0).

The coordinate of intersection with the y-axis is: (0, 6).

The area of the triangle is 9 unit²

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Answer:

The smallest number that Aleena could be thinking of is 2.75.

Step-by-step explanation:

7³−((7)(4))² =7

−441≠7

False

Answer:

[tex] \sf \: \frac{1}{4} [/tex]

Step-by-step explanation:

since the total of red marbles is 5 and the total of all the colours of marble is 20

therefore we write it like this;

[tex] \sf \frac{Total \: of \: red \: marbles}{Total \: of \: all \: the \: marbles}[/tex]

[tex] \rightarrow \sf \: \frac{5}{20} = \frac{1}{4}[/tex]

Answer:

w = -2, (-1/5)

Step-by-step explanation:

2|4w - 1| = 3|4w + 2|

8w - 2 = 12w + 6

-12w      -12w

-------------------------

-4w - 2 = 6

      +2   +2

---------------------

-4w = 8

÷-4    ÷-4

w = -2

2|4(-2) - 1| = 3|4(-2) + 2|

2|-8 - 1| = 3|-8 + 2|

2|-9| = 3|-6|

18 = 18

----------------------------------------------------------------------------------------------------------

2|4w - 1| = -(3|4w + 2|)

2|4w - 1| = -3|4w + 2|

8w - 2 = -12w - 6

+12w      +12w

-------------------------

20w - 2 = -6

        +2   +2

20w = -4

÷20    ÷20

------------------

w =(-1/5)

2|4(-1/5) - 1| = 3|4(-1/5) + 2|

2|(-4/5) - 1| = 3|(-4/5) + 2|

2|(-9/5)| = 3|(6/5)|

3.6 = 3.6

I hope this helps!

Answer:15

Step-by-step explanation: if your at -9,-5 you would be on the 3rd quadrant, and in order to get to 6,-5 (4th quadrant) you would just move to the right. you would only move right because the y-axis stays the same but the x-axis changes.

Answer: 15

Step-by-step explanation:

the equation to find the length of a line using the points given:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

therefore you should understand which is y2, x2,y1 and x1

so you should always check which y value is bigger (the y value is the number in the right side of the point) so if the y value is bigger (y2) then eventually the value next to it which is x will always become x2 if the y value is big (y2)

so the other two values of the other point should become x1 and y1 since you already figured out the lager y value.

so now as for this question y2= -5, y1= -5, x2= 6 and x1= -9

now substitute these values to the equation I mentioned before ( you should make sure to remember the equation for sure as it is required when doing these types of questions)

[tex]\sqrt{[6-(-9)]^{2} +[-5-(-5)]^2} \\\sqrt{(6+9)^2 + (-5+5)^2[/tex]

[tex]\sqrt{15^2+0^2} \\\sqrt{225} \\15[/tex](therefore 15 is the answer you have been looking for!)

I hope you understood and don't forget the equation which is the main help!

Answer:

y = 2x - 13.

Step-by-step explanation:

The point-slope form of a line is:

y - y1 = m(x - x1)

Substituting the given values:

y - 1 = 2(x - 7)

y = 2x - 14 + 1

y = 2x - 13.

Answer:

she'll still owe him 8.21

Step-by-step explanation:

i dont know what you mean by write it as a negative integer ?

The distance between the midpoints of segments OA and OB is 1.5 cm.

Given that, points O, A, and B lie on the same line. OA = 12 cm, OB = 9 cm.

We need to find the distance between the midpoints of segments OA and OB.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

Let X be the midpoint of OA and Y be the midpoint of OB.

Now, the midpoint of OA is OX=AX=OA/2

=12/2=6 cm

Then, the midpoint of OB is OY=YB=OB/2

=9/2=4.5 cm

The distance = 6-4.5=1.5 cm

Therefore, the distance between the midpoints of segments OA and OB is 1.5 cm.

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Answer: D. The result is an outlier and there is no gap in the data.

The statement describes this result is; D. The result is an outlier and there is no gap in the data.

In statistics, an outlier is a data point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error; the latter are sometimes excluded from the data set.

From the graph, at 16.5 hours, the exam score is approximately 90%. Thus, we can conclude that if a student spends 16.5 hours studying and receives a mark of 61.4%, then the result is an outlier and there is no gap in the data.

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Answer:

2 times as much

Step-by-step explanation:

1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes

3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins

200 is twice as much as 100

Answer:

2 times as much

Step-by-step explanation:

1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes

3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins

200 is twice as much as 100

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Construct the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter of a right triangle (altitudes).

The three angle bisectors of a triangle are concurrent in a point equidistant from its sides. The incenter of a triangle is the point at which the triangle's angle bisectors intersect. The incenter is always inside the triangle.

The point where the three perpendicular bisectors meet is the circumcenter of a triangle. It is the circumcenter of the circle encircling the triangle, equidistant from the triangle's three vertices.

The incenter exists crucial for angle bisectors; the orthocenter is important for perpendicular bisectors; the circumcenter is important for altitudes; and the centroid is important for medians.

Construct a right triangle's centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes).

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The slope of the line passing through two points (-1, 6) and (3, -4) is Option A ( m = [tex]\frac{-5}{2}[/tex] )

It is given that, the line is passing through two points (-1, 6) and (3, -4)

Slope is the measurement of the level of steepness of the line or it is a line's steepness determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The formula to find the slope of the line passing through two points is given by

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

We need to find the slope of the line passing through both points

where y1 = 6, y2 = -4, x1 = -1, x2 = 3

Putting values in the formula to find the slope of the line

we get,

m = [tex]\frac{-4 - 6}{[3 -(-1)]}[/tex]

m = [tex]\frac{-10}{4}[/tex]

m = [tex]\frac{-5}{2}[/tex]

Hence The slope of the line passing through two points (-1, 6) and (3, -4) is m = [tex]\frac{-5}{2}[/tex]

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The prediction of the number of students who spend more than 2 hours each night doing homework are 118.

It is given in the question that in a random survey of 50 students and fund that 14 of them spend more than 2 hours each night doing homework.

There are 421 students in the school.

We have to predict the number of students who spend more than 2 hours each night doing homework.

Probability of number of students who spend more than 2 hours in doing homework = 14/50 = 7/25= 0.28

If there are 421 students, number of students who spend more than 2 hours in doing homework = 0.28*421 = 117.88 ≈ 118.

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Extend the triangle's size by -1/3 with the center point (-1,2).

The triangle's vertices of new location point are (-2,1),(0,1) and (-3,4).

The triangle's vertices' coordinates are not specified. Assume that the triangle's vertices are located at points A(2, 5), B(-4, 5) and C. (5, -4).

A point is transformed when it is moved from its original location to a new one. Reflection, rotation, translation, and dilation are examples of Dilation is the growth or contraction of an object's size. A point A(x, y) is displaced from a point (a, b) by a factor k as follows:

[tex]A^{'}= (k(x-a)+a,k(y-b)+b)[/tex]

Where, (a,b)=(-1,2) and k=[tex]\frac{-1}{3}[/tex].

The triangle's vertices are located at points A(2, 5), B(-4, 5), and C. (5, -4). The new address is:

[tex]A^{'}= (\frac{-1}{3} (2-(-1))-1,\frac{-1}{3}(5-2)+2)=(-2,1)\\B^{'}= (\frac{-1}{3} (-4-(-1))-1,\frac{-1}{3}(5-2)+2)=(0,1)\\C^{'}= (\frac{-1}{3} (5-(-1))-1,\frac{-1}{3}(-4-2)+2)=(-3,4).[/tex]

Therefore, The triangle's vertices of new location points are (-2,1),(0,1) and (-3,4).

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Answer:

the mean is -2 degrees celsius

Step-by-step explanation:

-7 + -1 + -4 + 0 + 2 = -10

-10 / 5 = -2

Answer:

Step-by-step explanation:

The value of angle ∠AEF or ∠x is 80°.

So,

Then,

Now,

Therefore, the value of angle ∠AEF or ∠x is 80°.

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7^4.3^-6.y is equivalent to 7.7.7.7.y/3.3.3.3.3.3 which is option (B).

b^10/b^4 is b^6 and (p^2+p-8)-(-4p^2-p+3) is 5p^2+2p-5.

Two expressions with equal sign in between is called as equation.

4. 7^4.3^-6.y

In the given expression, 7 has 4 exponent and 3 has -6 exponent.

This can be written as 7.7.7.7.y/3.3.3.3.3.3.

5. b^10/b^4 is b^10-4=b^6.

6. (p^2+p-8)-(-4p^2-p+3)

=p^2+p-8+4p^2+p-3

=5p^2+2p-5.

Therefore 7^4.3^-6.y is equivalent to 7.7.7.7.y/3.3.3.3.3.3 which is option (B), b^10/b^4 is b^6 and (p^2+p-8)-(-4p^2-p+3) is 5p^2+2p-5.

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In the given question angle ∠JKN is 63°.

So,

Since KN bisects ∠LKM which is 70°.

Now, we know that: (refer to the diagram below)

Therefore, in the given question angle ∠JKN is 63°.

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Given the height of building PQ and the angle of depression of a car R from the top of the building, the distance between R nd Q is approximately 58.7 meters.

Given the data in the question;

This forms a right triangle as drawn in the image below and to determine the distance between R and Q,

We use one of the six function of angle used in trigonometry.

tanθ = Adjacent / Opposite

We plug in the values from the diagram and solve for RQ.

tanθ = Adjacent / Opposite

tan( 40° ) = RQ/70m

RQ = tan( 40° ) × 70m

RQ = 0.83909963 × 70m

RQ = 58.7m

Given the height of building PQ and the angle of depression of a car R from the top of the building, the distance between R nd Q is approximately 58.7 meters.

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An athlete preparing for a marathon runs 21.3 miles then the athlete will run 34.27903 kilometer.

The kilometer (spelled kilometer in American English) is just a metric unit of length equivalent to one thousand meters.

Since there are 1.6 kilometers in a mile, multiply the number of miles by 1.6 to convert them to kilometers. Because 20 × 1.6 = 32 kilometers, 20 miles is equivalent to 32 kilometers. The more precise method would yield a conversion of 20 miles to kilometers of 32.1868.

Conversion of mile into kilometer.

It is known that, 1 mile = 1.60 kilometer.

Then, 21.3 mile = 1.60 × 21.3 = 34.08 kilometer.

An athlete training for a marathon will cover 34.27903 kilometers if they run 21.3 miles.

Therefore, the athlete will run 34.27903 kilometer.

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Answer: 5

Step-by-step explanation:

GH=GD+DH

GD=DH ==> indicated by the ticks on the two line segments GH and DH.

GH=DH+DH

4x-4=8+8

4x-4=16

4x=20

x=5