Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
A square garden has an area of 1,600 square feet. How long is each side of
the garden?
16
40
80
160
Answer:
40
Step-by-step explanation:
why? because 40x40=1600
g(x)= - 4x - 24 PLEASE HELP
Answer:
the answer got that would be -4
ali is writing a computer program. last week he wrote 25 lines of code each day for 5 days. this week her wrote 42 more twice the number of lines of code he wrote last week. how many lines of code he wrote altogether for his computer program
Answer:
292 lines of code
Step-by-step explanation:
1.) Multiply. 25 times 5 = 125
2.) Multiply previous answer by 2 (because he wrote twice as much). 125 times 2 = 250
3.) Add 42 to previous answer. 250 + 42 = 292
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Choices
-10
-5
5
10
We have to simplify and get the value of x from this inequality given:
Given inequality,
[tex]3(x - 4) > 5x + 2[/tex]
Now let's simplify by using distributive property,
[tex]3x - 12 > 5x + 2[/tex]
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
[tex]3x - 12 - 5x - 2 > 0[/tex]
[tex] - 2x - 14 > 0[/tex]
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.
[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]
[tex]x + 7 < 0[/tex]
Now subtracting -7 from both sides,
[tex]x + 7 - 7 < 0 - 7[/tex]
[tex]x < - 7[/tex]
Or, Interval of the equal [tex](- \infin, -7 ][/tex]
#CarryOnLearning
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Answer:
it's A :)
Step-by-step explanation:
can I have brainlest please
- 32x - 40
What is the first step that I should do
I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.
[tex] - 32x - 40 = 0[/tex]
[tex] - 32x = 40[/tex]
From there you will divide by -32 and simply the fraction.
[tex]x = - \frac {40}{32} [/tex]
[tex]x = - \frac{5}{4} [/tex]
I hope this helps, but please let me know if this is not what you're trying to do.
Someone please help.
HELPPPPPPPPPPP!!!!!!
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x
Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP
Answer:
8 degrees
Step-by-step explanation:
4x+7=6x−9
Step 1: Subtract 6x from both sides.
4x+7−6x=6x−9−6x
−2x+7=−9
Step 2: Subtract 7 from both sides.
−2x+7−7=−9−7
−2x=−16
Step 3: Divide both sides by -2.
-2x/-2 =-16/-2
Equals to X=8
x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?
which integer is closest to √55 ?
Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)
Answer:
D. 80
Step-by-step explanation:
Given:
f(x) = 5x - 4,
g(x) = x² - 1
Required:
(g o f)(-1)
SOLUTION:
(g o f)(-1) = g(f(-1))
Plug in -1 for x into the function, f(x) = 5x - 4:
g(f(-1)) = g(5(-1) - 4)
= g(-5 - 4)
= g(-9)
Plug in -9 for x in the function, g(x) = x² - 1
g(-9) = (-9)² - 1
= 81 - 1
= 80.
Therefore, (g o f)(-1) = g(f(-1)) = 80
D. 80 is the correct answer.
Storm Center 7 was tracking a cold front approaching Cedarburg. Before it rolled in, the temperature was – 7°F. Then, the temperature decreased by 9°F.
Answer:
The tempature is now -16 F
Subtract. -7 - -9 = -16.
Hope this helps.
Answer:
-16
Step-by-step explanation:
3. -(0.5x +0.25) = -38
Answer:
-75.5 I think
Step-by-step explanation:
-0.5x-0.25=-38
add 0.25 on both sides.
-0.5=-37.75
-75.5
Answer:
now we need to find x
x will be found by finding what you have to multiply to get to 38
-0.25 x 152= -38 so x= 152
g(a) = a + 2. Find f(-7).
Answer:
-5= g(a)
Step-by-step explanation:
assuming this is a typo and you meant to say g(-7).
-7 +2 = -5
if a+b= -1 then the value of a^3+b^3 - 3ab= ?
Answer:
-1
Step-by-step explanation:
[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]
Solve for 3x + 5(x - 2) = 14
Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25
Answer:
Option D. y = – 5x² + 20x + 25
Step-by-step explanation:
We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:
The solutions are simply the values through which the graph cuts the x-axis.
The solutions are x = – 1 and 5.
Next, we shall obtain the equation for the graph as follow:
x = – 1 Or x = 5
x + 1 = 0 or x – 5= 0
(x + 1) (x – 5) = 0
Expand
x(x – 5) + 1(x – 5) = 0
x² – 5x + x – 5 = 0
x² – 4x – 5 = 0
Multiply through by 5
5x² – 20x – 25 = 0
Rearrange
0 = 0 – (5x² – 20x – 25)
= – 5x² + 20x + 25
Thus, the equation is:
y = – 5x² + 20x + 25
Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?
Answer:
20
Step-by-step explanation:
F is between E and G. E, F, and G are collinear. EG = 29x – 3 ; EF = 6x + 12; FG = 13x + 5. Find EG.
Answer:
EG=55
Step-by-step explanation:
EF+FG=EG
(6x+12)+(13x+5)=29x-3
19x+17=29x-3
20=10x
2=x
29x-3
29(2)-3
58-3
55
Check
(6x+12)+(13x+5)
((6(2)+12))+((13(2)+5))
(12+12)+(26+5)
24+31
55
Please Help Thank You So Much
This is inequalities
Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x
You don't need a graph to solve this.
I kinda need this today.
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
Canada has a population that is about 1 10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.
Answer:
320,000,000
Step-by-step explanation:
6x^2=21x-9 Need help learning factoring please put work so I can understand
Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)
Answer:
-14y + 34
Step-by-step explanation:
Step 1: Write out equation
6(5 - 3y) + 4(y + 1)
Step 2: Distribute
30 - 18y + 4y + 4
Step 3: Combine like terms
-14y + 34
Answer:
34-14y
this is simplifed
Step-by-step explanation:
Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}
the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on
Correct! Thanks. This really helped me on a question on my quick check!
what is 3/4 times 12
Answer:
bruh its 9
Step-by-step explanation:
Use the following conditional:
If a number is odd, then it is an integer and a prime number.
Which is the hypothesis of the conditional?
A. A number is odd.
B. A'number is a prime number.
C. A number is either an integer or a prime number.
D. A number is both an integer and a prime number.
Answer:
a: a number is odd
Step-by-step explanation:
It uses the word IF
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2
Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question a=below;
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?
The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;
h(t)=40t-16t2
0 h(t)=40t-16t2
40t-16t² = 0
add 16t² to both side
40t-16t²+16t² = 0+16t²
40t = 16t²
40 = 16t
divide both sides by 16
t = 40/16.
t = 2.5secs
Hence the golf ball hit the ground after 2.5secs
Answer:
when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.
15/2 is (greater than, less than, or equal to) the square root of 55?
First make 15/2 a mixed number
7 1/2
Or in decimal form its 7.5.
Find the square root of 55
Around 7.4
15/2 is greater
1. Estimate
Square root 5
Answer: 25
Step-by-step explanation: 5^2 = 25, 5x5 = 25
Hope this helps!
2.2
did that help at all
6. Simplify: 15 + 10 - 8-2 +3 - 4 - 1
Answer:
13
Step-by-step explanation:
15 + 10 = 25
25 - 8 = 17
17 - 2 = 15
15 + 3 = 18
18 - 4 = 14
14 - 1 = 13
Answer:
13
Step-by-step explanation:
its 13