Given:
The line passing through (-2,5) and (2,p) has a gradient of [tex]-\dfrac{1}{2}[/tex].
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through (-2,5) and (2,p). So, the slope of the line is:
[tex]m=\dfrac{p-5}{2-(-2)}[/tex]
[tex]m=\dfrac{p-5}{2+2}[/tex]
[tex]m=\dfrac{p-5}{4}[/tex]
It is given that the gradient or slope of the line is [tex]-\dfrac{1}{2}[/tex].
[tex]\dfrac{p-5}{4}=-\dfrac{1}{2}[/tex]
On cross multiplication, we get
[tex]2(p-5)=-4(1)[/tex]
[tex]2p-10=-4[/tex]
[tex]2p=-4+10[/tex]
[tex]2p=6[/tex]
Divide both sides by 2.
[tex]p=3[/tex]
Therefore, the value of p is 3.
Which scatterplot shows a linear association?
Answer:
The first one I believe
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The scatter plots likes b, c and d are non linear associations. You can easily remember this just by looking how weird shaping they are for example d. You can always remember that a scatter plot like d is always nonlinear.
Select the function that matches the graph
Answer:
y=3x+1
Step-by-step explanation:
the y is postitive 1 and the slope is 3
BRAINLIEST TO CORRECT ANSWER! NO links as answers, or you will be reported! (question 12)
Answer:
Factor numerator and denominator
Step-by-step explanation:
Help PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
I think it is the orange or the pink.
Step-by-step explanation:
Need help on number 3! Ik the answer for number 4 only 3!!!
When the y coordinate is positive, which way do you move on the coordinate plane?
Answer:
up
Step-by-step explanation:
You would move it up the y-axis
How to find the missing dimensions of a prism
Answer:
Below.
Step-by-step explanation:
You need to know the volume or total surface area of the prism and 2 of the dimensions.
The formula for the volume = wlh where w = width , l = length and h = height.
So knowing say w = 4, l = 8 and V = 192 we have:
V = wlh
192 = 4 * 8 * h
h = 192/4*8
= 192/32
= 6.
cosβ=-√2/10. find the angle. plz help me
Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]
As the value of cosine is negative, therefore the angle must lie in II or III quadrant
[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]
A rectangle has a perimeter of 60 inches and a length of 22 inches. What is the width of the rectangle?
Answer:
8in
Step-by-step explanation:
I hope this helps. have a great dsy
Answer:
perimeter of a rectangle = 2( l+b )
perimeter = 60 inches
length = 22 inches
∴ width =
2 ( 22 + b ) = 60
22 + b = 60/2 = 30
22 + b = 30
b = 30 - 22 = 8 inches
∴ width = 8 inches
hope this answer helps you..
please mark as brainliest .. thank you!
If beaver family one can cut down and 20" tree in 15 minutes and family two can cut down a tree 3 times the size in twice as long how long will it take the second beaver family to cut down a 20" tree
Answer:
10 minutes
Step-by-step explanation:
Beaver family 2 can cut down 60'' (20 x 3) tree in 30 (15 x 2) minutes
In one minute, beaver family 2 would cut down 60/30 = 2'' tree
time to cut down 20'' tree = 20/2 = 10 minutes
What is the value of the y-coordinate of point A
Answer:
there's no pic
Step-by-step explanation:
can you re attach it plz I might be able to help
what is the minus 60 plus 40 =x plus y= x+9
60+40=x
y=x+9
MInus
x=100
y=109
Diffrence 9
Answer:
x = -20
y = -11
HELPPPP PLEASE !!! I will give brainliest!!! THANK YOU
The parabola y = x2 is reflected across the x-axis and then scaled vertically by a factor of 5.
What is the equation of the new parabola?
y =
THANK YOu!!!!!
Answer:
Step-by-step explanation:
something like this Gigi,
y = -5([tex]x^{2}[/tex])
Can someone help me
the answer is 9 because
3x9=27
and 27-18=9
mark brainliest plz
Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal
Answer:
Step-by-step explanation:
88Find the area of the given triangle.
A cylinder has a height of 11 inches. Its volume is 4,973.76 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
12 inches
Step-by-step explanation:
Given data
Height= 11 inces
Volume= 4,973.76 cubic inches.
The expression for the volume of a cylinder is
V= πr^2h
substitute
4,973.76= 3.14*r^2*11
4,973.76= 34.54r^2
r^2= 4,973.76/ 34.54
r^2= 144
Square root both sides
r=√144
r=12 inches
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?
there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.
hii please help asap ill give brainliest thanks
Answer:nirvana
Step-by-step explanation:
A random number generator is used to select a number from 1 to 50 (inclusively). What is the probability of selecting the number 28?
(Type an integer or a decimal. Do not round.)
Answer:
the answer is 1/50
Step-by-step explanation:
A random number generator is used to select an integer from 1 to 50. Since random number generator generates any number randomly, all the numbers from 1 to 50
Hi there! I have a math problem I need help on: A recipe calls for 1 teaspoon of cinnamon. You only have a 1/2 teaspoon measuring spoon. What fraction of a teaspoon of cinnamon, in halves, do you need? Please include the answer in your reply, and please don't go off-topic.
You need 2 half-teaspoons, since
1/2 tsp + 1/2 tsp = (1 + 1)/2 tsp = 2/2 tsp = 1 tsp
what is the approximate circumference of a plate with a diameter of 12 inches? use 3.14 for π. Round to the nearest hundredth if necessary. (I really need this it's a test)
Answer:
37.7
Step-by-step explanation:
C=πd=π·12≈37.69911
rounded to the nearest hundredth 37.7.
hoped this helped.
can someone please help me with 7 and 8...thank you <3
Answer:
7. <B = 129°8. <N = 85°Step-by-step explanation:
7. <A + <B = 180° [Since Co-interior angles]
=> 51° + <B = 180°
=> <B = 180° - 51°
=> <B = 129° (Ans)
8. <M + <N = 180° [Since Co-interior angles]
=> 95° + <N = 180°
=> <N = 180° - 95°
=> <N = 85° (Ans)
Calvin is filling the pool in his backyard with water. If the pool is in the shape of a cylinder with a diameter of 12 ft and a height of 5 ft, how much water is needed to fill Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. of the pool?
Answer: 135 pi
Step-by-step explanation: I took the test
It is a three-dimensional shape with two parallel circular bases and a curve surface.
The volume of water needed to fill the pool is 180π square feet.
What is a cylinder?It is a three-dimensional shape with two parallel circular bases and a curve surface.
Volume = π r² h
r = radius of the cylinder
h = height of the cylinder
We have,
Diameter of the cylinder = 12 ft
Radius = diameter/2 = 12/2 = 6 ft
Height of the cylinder = 5 ft
The volume of the cylinder:
= πr²h
= π x 6² x 5
= π x 36 x 5
= 180π square feet
Thus,
The volume of water needed to fill the pool is 180π square feet.
Learn more about cylinder here:
https://brainly.com/question/15891031
#SPJ2
What fraction of the square is the green triangle?
Answer:
1/4
Step-by-step explanation:
Answer:
7/32
(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)
Step-by-step explanation:
first count how many squares there are in total
its 8 by 8 so in total there are 64!
now there is the green triangle.....
count all the whole squares in it = 10
now count all the half squares (little triangles in it)= 8
Now if you put those little triangles together it would make one small unit square so it is 4 of all
10 + 4 = 14
So there is a Total of 14 unit squares in the green triangle
Fraction Time......
now lets take 14/64 and simplify it
that would be 7/32
We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64
I hope this was the answser you were looking for!! Mark Me Brainliest ;)If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?
Answer:
Six.
46
48
64
68
84
86
Step-by-step explanation:
hoped this helped!
(6, - 3, 1) and (8,9,-11) find the angle between the vector
Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.
Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:
[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:
[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]
[tex]\theta \approx 84.813^{\circ}[/tex]
The angle between the two vectors is 84.813°.
Alice has 14 baseball cards. Jason has twice as many card as Alice. Tom has 6 fewer cards than Alice . How many baseball cards do Alice , Jason , and Tom have altogether.
Answer:
50 cards
Step-by-step explanation:
Alice = 14 cards
Jason = 14 x 2 or 28
Tom = 14 - 6 or 8
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
Anthony paints fences. He charges $35 for painting supplies and $15 for each hour, h, he
works. If Anthony charges Jill $155, which equation can be used to determine the number of
hours Anthony spent painting Jill's fence?
Choices:
A: 15h+35=155
B: 15-35h=155
C: 15h=155
D: 35h= 155
Please help fast!
(6th grade math)