Answer:
80 ft
Step-by-step explanation:
width = w
length = w+10
Perimeter of a rectangle
P = 2(l+w)
300 = 2(w+10+w)
300 = 2(2w+10)
Divide by 2
300/2 = 2/2(2w+10)
150 = 2w+10
Subtract 10
150-10 = 2w+10-10
140 = 2w
Divide by 2
140/2 = 2w/2
70 = w
l = w+10
l = 70+10
w = 80
What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Complete question is;
Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
Since the original line is;
y – 3 = (1/5) (x – 10)
This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.
Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;
y – 3 = 2(x – 10)
Evaluate C(6, 3)
120
720
20
Answer:
20
Step-by-step explanation:
C(6,3) = 6!/[3!(6-3)!]
= 20
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(-1/2, -3)
O A. y = 2x
O B. y=*
O C. y = 3x
ООО
OD. y = -6x
E. y=-*
OF. y = 6x
Answer:
I think the correct answer is F. y = 6x
We will see that the line equation is y = 6*x
How to find a linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, the line passes through the points: (0, 0) and (-1/2, -3)
Then the slope is:
[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]
Then the line is of the form y = 6*x + b
To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:
0 = 6*0 + b
0 = b
We can conclude that the line is y = 6*x
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
I need help ASAP!! Please explain how to solve the problem
Answer:
area of base = pi x radius^2 = (ill use 3.14 as pi)
3.14 x 7^2 = 153.86 in^2
height = 12
circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in
surface area = perimeter of base x height (lateral area) + 2 x area of base
= 43.96 x 12 = 527.52 + 2(153.86) = 835.24
hope that answers your question
(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)
2^2+ 3^2 - 4^2
Simplify using the order of operation
Answer:
[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]
I hope it helped U
stay safe stay happy
Answer:
-3
Step-by-step explanation:
[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + 9 - {4}^{2} [/tex]
[tex] = 4 + 9 - 16[/tex]
[tex] = - 3[/tex]
Which of the following statements is false?
B. A parallelogram is a rectangle.
Find the indicated side of the
right triangle.
45°
y
6
45°
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
x=6
Step-by-step explanation:
Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal
x=6
Write the polynomial in standard form -7x+10x^3-7x^2-x^8+15
Answer:
-x^8+10x^3-7x^2+7x+15
Step-by-step explanation:
-7x+10x^3-7x^2-x^8+15
Standard form is from highest power to lowest power of x
-x^8+10x^3-7x^2+7x+15
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?O Place compass at point D, and draw an arc that intersects the arc above overleftrightarrow DF O Place compass at point F, and draw an arc that intersects the arc above overline DF O.Place compass at point P, and draw an arc above overline DF O Place compass at point P, and draw an arc below overline DF
Answer:
Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA 2nd answer.
Step-by-step explanation:
Slope of (5a, b) and (2a, 2b)
Answer:
8a+4b
Step-by-step explanation:
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
This diagram shows lines PQ, RS, and TV. How
many angles appear to be obtuse? Name them.
Answer:
Obtuse angles measure between 90° and 180°.
In the diagram we have:
∠PMS, ∠RMN, ∠MNV, ∠TNQObtuse angles measure less than 180° but more than right angle
Here they are
<RMN<SMP<VNM<QNTThe circumference of a circle is 6pi inches. What is the area of the circle
Answer:
B0 A = 9 Pi
Step-by-step explanation:
c = 6 Pi (given)
c = Pi 2r (standard formula)
r = c / (2 Pi)
r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)
So
A = Pi r**2
A = Pi 3**2
A = 9 Pi
Match the equation on the left with the correct solution on the right.
Which are corresponding pairs
Answer:
pandn
Step-by-step explanation:
jsubeuodoqok1kwnebhxhhw
emdndiiwjwkd
d
ddnjd
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???
We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
If you want to read more, you can see:
https://brainly.com/question/12040665
What is the ratio of 16 and 8
Answer:
Convert fraction (ratio) 8 / 16 Answer: 50%
Step-by-step explanation:
SOMEONE HELP ME PLEASE
For the given question,
Total number of outcomes
= 6 (i.e. 1, 2, 3, 4, 5 and 6)
Number of favourable outcomes
= 4 (i.e. 3, 4, 5, 6)
So,
[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]
i would like if someone helped me with this.
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
whats the area in square inches
Answer:
Area of triangle =1/2b×h
1/2×10×8.7
=44 square inches
Answer:
44
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
where b is the base and h is the height
A = 1/2 (10) (8.7)
A= 43.5
Rounding to the nearest whole number
A = 44
Rectangle KLMN has vertices K(-5,6), L(-2,9), M(6, 1), and N(3,-2). Determine and state the coordinates of the point of intersection of the diagonals.
Answer:
(0.5,3.5)
Step-by-step explanation:
First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:
from (-2,9) to (3,-2)
from (-5, 6) to (6,1)
To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0
For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is
(-2-9)/(3-(-2)) = -11/5
Therefore, our equation is
y= (-11/5)x + b
To solve for b, we can plug a point in, like (3,-2). Therefore,
-2=(-11/5)*3+b
-2=-33/5+b
-10/5=-33/5+b
add 33/5 to both sides to isolate b
23/5=b
Our equation for one diagonal is therefore y=(-11/5)x+23/5
For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have
1=(-5/11)*6+b
11/11 = -30/11 + b
add 30/11 to both sides to isolate b
41/11 = b
our equation is
y = (-5/11) x + 41/11
Our two equations are thus
y = (-5/11) x + 41/11
y=(-11/5)x+23/5
To find where they intersect, we can set them equal to each other
(-11/5)x+23/5 = y = (-5/11) x + 41/11
(-11/5)x + 23/5 = (-5/11)x + 41/11
subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients
(-11/5)x + (5/11)x = 41/11-23/5
11*5 = 55, so 55 is one value we can use to make the denominators equal.
(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)
(-121/55)x+(25/55)x = (205/55) - (253/55)
(-96/55)x = (-48/55)
multiply both sides by 55 to remove the denominators
-96x=-48
divide both sides by -96 to isolate x
x=-48/-96=0.5
plug x=0.5 into a diagonal to see the y value of the intersection
(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5
If carina can ride her bike at a speed of 7 mph, it will take her 3 hours to travel 21 miles. True or false?
Answer:
True
Step-by-step explanation:
We know that distance = rate * time
21 miles = 7 miles per hours * 3 hours
21 miles = 21 miles
True
salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages
Answer:
salini -= 5 years
mother = 40years
Step-by-step explanation:
[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]
[tex]5 = x[/tex]
then you equate the values of x
what fraction of these houses have seven rooms
Answer:
9/50
Step-by-step explanation:
18 % have 7 rooms
18 % means 18 out of 100
18/100
Divide top and bottom by 2
9/50
convert solar days into minutes
Answer:
1 Solar day = 86,400 seconds (SI Base Unit)
1 day = 1,440 minutes
Step-by-step explanation:
If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.
Answer:
girls = 40%
boys = 60%
Step-by-step explanation:
Girls = 160
boys = 240
total students = 160+240
= 400
so,
percent of girls = (160/400)×100%
= (2/5)×100%
= 2×20%
= 40%
so,
percent of boys = 100% - 40%
= 60%
Find the value of m if x + m is a factor of x^2 - 5mx + 3
Answer:
+or- sqrt(3/4)
Step-by-step explanation:
If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x
0 = (-m)^2 - 5m(-m) + 3
0 = m^2 - 5m^2 + 3
0 = -4m^2 + 3
Factorise
0 = -4(m^2 - 3/4)
0 = -4(m + sqrt(3/4))(m - sqrt(3/4))
:. m = +or- sqrt(3/4)
X =
A)6 2/3
B)9
C)12
I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!
how do i rename 2/7 and 10/21 and whats the most common denominator for them
The most common denominator for them is the LCM which is 21
Now
2/7 = 2/7×3/3
= 6/21
Therefore 6/21 and 10/21
Must click thanks and mark brainliest