Answer:
[tex]y=8x+9[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopes and different y-intercepts1) Determine the slope
[tex]y = 8x+7[/tex]
From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:
[tex]y=8x+b[/tex]
2) Determine the y-intercept
[tex]y=8x+b[/tex]
The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:
[tex]y=8x+9[/tex]
I hope this helps!
The Hunt family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?
Here is an inequality: -2x>10
List some values for x that would make this inequality true.
Answer:
The right solution is "[tex]x>-5[/tex]".
Step-by-step explanation:
The given inequality is:
⇒ [tex]-2x>10[/tex]
By solving the above expression, we get
⇒ [tex]x >-\frac{10}{2}[/tex]
⇒ [tex]x>-5[/tex]
Thus the above is the correct answer.
use a formula to find the area of the figure
Answer: C. 13.5
Step-by-step explanation:
9x3= 27
27 divided by 2= 13.5
The formula for the area of a triangle is: A = 1/2 * b * h
In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.
A = 1/2 * 9 * 3
A = 1/2 * 27
A = 13.5 ft^2
Hope this helps!! :)
Find missing measure
Answer:
60°
Step-by-step explanation:
360 - ( 80+115+10) = 60°
Suzy has 20 counters. Mia has 9 times as many counters as Suzy.
How many counters does Mia have? Enter the answer in the box.
Answer:
Mia has 180 counters
Step-by-step explanation:
if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180
help, please !! you will get 10 points !!
Answer:
25.5
Step-by-step explanation:
Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.
CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.
Simplify:
B^4 . B^3
^ = means I’m squaring it.
Step-by-step explanation:
B⁴×B³B^(4+3)B⁷stay safe healthy and happy...
I need some help plz
Answer:
B : both containers are 50
Step-by-step explanation:
Since water in container 2 is in higher temp, it will transfer some of its heat to container 1 until both the containers reach same temperature. This is the concept of equilibrium that mother nature abides by.
What is the midline equation of the function g(x) = 2 cos(7x + 5) + 1?
Answer:
y = 1
Step-by-step explanation:
The midline of h(x) = 2 cos(7x + 5) is y = 0.
The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.
Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form.
Answer:
[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
[tex]o=\sqrt{29^2-20^2}=21[/tex]
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
[tex]h=\sqrt{11^2+60^2}=61[/tex]
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]
Simplify:
[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]
what's the value of x and y?
Answer:
x = 55
y = 70
Step-by-step explanation:
since it's all sides are equal its an equilateral triangle
each angle of an equilateral triangle is 60°
therefore,
y - 10 = 60 => y = 60 + 10
y = 70
x + 5 = 60 => x = 60 - 5
x = 55
Answer:
x+5=y-10
x-y = -15
y-10+X+5+X+5=180
2x+y =180
x-y+2x+y =180-15
3x.=165
x. =55
2x+y =180
y =180-(110)
y =70
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B
Answer:
Step-by-step explanation:
Hope this helps u!!
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
if a ball is a sphere with 10 inches, what is the volume in cube inches
Answer:
Step-by-step explanation:
I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,
[tex]V=\frac{4}{3}\pi(10)^3[/tex] so
V = 1333.33π inches cubed
If the diameter is 10 and the radius is 5:
[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is
V = 166.67π inches cubed
give me answer please v
Answer:
99999
Step-by-step explanation:
To find : The Greatest 5 digit number exactly divisible by 9,12,15,18 and 24? Solution : The greatest 5-digit number is 99999.
IT'S VERY HARD QUESTION I SOLVED FOR YOU PLEASE GIVE A ❤ AND MARK ME A BRAINLIST. PLEASE
If I think of a number halve it and subtract 2 results is 10.write equations and solve it please
Answer:
24
Step-by-step explanation:
let 'x' = number
x/2 - 2 = 10
add 2 to each side to get:
x/2 = 12
cross-multiply to get:
x = 24
Answer:
The equation is (x/2) - 2 = 10The equation solves to x = 24============================================================
Explanation:
x = the number you think of
x/2 = the result after taking half of that number
(x/2) - 2 = subtract 2 from the previous result
(x/2) - 2 = 10 is the equation to solve
Solving said equation gets us...
(x/2) - 2 = 10
x/2 = 10+2 ... adding 2 to both sides
x/2 = 12
x = 12*2 ..... multiplying both sides by 2
x = 24
Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24
-----------------
Let's check that answer:
x = 24
x/2 = 24/2 = 12 ... result after taking half of x
(x/2) - 2 = (12)-2 = 10 ... result after subtracting two
We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.
------------------
Here's another way to check:
(x/2) - 2 = 10
(24/2) - 2 = 10
(12) - 2 = 10
10 = 10
We end up with the same thing on both sides, so x = 24 is confirmed.
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months
Answer:
Step-by-step explanation:
y = ax + b
The trick is to solve for a.
y = 505
x = 8
b = 25
505 = a*8 + 25 Subtract 25 from both sides
-25 -25
480 = 8a
a = 60
What this means is that for each one of the 8 months, he added 60 dollars into his account
The equation is y = 60*x + 25
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
please help ASAP! 7th grade
Since their were no numbers to the questions i had to write it by the problem
Circle with 9 feet question
C=2(pi)r or C=(pi)d
Circular table question
A=(pi)r^2
Interest question
I=Prt
Volume of a rectangular prism
V=Bh
Triangular pyramid
V=1/3Bh
Can someone pls help me find X and Y
Answer:
y = 35°
z = 90°
Step-by-step explanation:
the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent
therefore, y = 35°
the third angle of the triangle on the left is 180-(90+35) = 55
therefore, this angle is vertical with the angle opposite it which is also 55°
to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
Both are false.
Step-by-step explanation:
Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.
Drag the tiles to the boxes to form correct pairs.
Match each operation involving Rx) and g(x) to its answer.
(t) = 1 - 22 and g(x) = V11 — 41
Answer:
[tex](g + f)(2) = \sqrt 3 - 3[/tex]
[tex](\frac{f}{g})(-1) = 0[/tex]
[tex](g + f)(-1) = \sqrt{15}[/tex]
[tex](g * f)(2) = -3\sqrt 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =1 - x^2[/tex]
[tex]g(x) = \sqrt{11 - 4x[/tex]
See attachment
Solving (a): (g + f)(2)
This is calculated as:
[tex](g + f)(2) = g(2) + f(2)[/tex]
Calculate g(2) and f(2)
[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]
[tex]f(2) = 1 - 2^2 = -3[/tex]
So:
[tex](g + f)(2) = g(2) + f(2)[/tex]
[tex](g + f)(2) = \sqrt 3 - 3[/tex]
Solving (b): [tex](\frac{f}{g})(-1)[/tex]
This is calculated as:
[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]
Calculate f(-1) and g(-1)
[tex]f(-1) = 1 - (-1)^2 = 0[/tex]
So:
[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]
[tex](\frac{f}{g})(-1) = \frac{0}{g(-1)}[/tex]
[tex](\frac{f}{g})(-1) = 0[/tex]
Solving (c): (g - f)(-1)
This is calculated as:
[tex](g + f)(-1) = g(-1) - f(-1)[/tex]
Calculate g(-1) and f(-1)
[tex]g(-1) = \sqrt{11 - 4 * -1} = \sqrt{15}[/tex]
[tex]f(-1) = 1 - (-1)^2 = 0[/tex]
So:
[tex](g + f)(-1) = g(-1) - f(-1)[/tex]
[tex](g + f)(-1) = \sqrt{15} - 0[/tex]
[tex](g + f)(-1) = \sqrt{15}[/tex]
Solving (d): (g * f)(2)
This is calculated as:
[tex](g * f)(2) = g(2) * f(2)[/tex]
Calculate g(2) and f(2)
[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]
[tex]f(2) = 1 - 2^2 = -3[/tex]
So:
[tex](g * f)(2) = g(2) * f(2)[/tex]
[tex](g * f)(2) = \sqrt 3 * -3[/tex]
[tex](g * f)(2) = -3\sqrt 3[/tex]
The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a tire company, where x is the number of tires produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its profits at or above $75,000, then which constraint is reasonable for the model?
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answer:
1.12 ≤ x ≤ 34.18
Step-by-step explanation:
____________
Answer:
The other person is correct. This will keep the companies profit above 75,000, because 1.12 < x < 34.18 goes past 75,000, and does not allow the profit to become less than.
Step-by-step explanation:
Find the value of x.
B
6
X+1
D
E
С
A
x = [?]
Answer:
x = 2
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
6x = 4(x + 1)
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
hey! i’ll give brainliest help thanks
Answer:
to one's liking; pleasing: agreeable manners;an agreeable sensation. willing or ready to agree or consent: Are you agreeable to my plans for Saturday i would go for A ore BStep-by-step explanation:
Which expression represents the area of the square?
A: 4.4
B:2+4
C:2.4
Or C: 4+ 4 help pls?
Answer:ik i am late but it is 4.4 for the people that need it now
Step-by-step explanation:
Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?
Answer:
129°
Step-by-step explanation:
Sum of supplementary angles = 180°
One angle = 51°
Other angles = 180° - 51°
= 129°
Plz mark as brainliest!!!!!
Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?
Answer:
32%
Step-by-step explanation:
Percent means out of 100 so we need the denominator to be 100
8/25 * 4/4 = 32/100
The percent is the numerator since it is now out of 100
32%
Answer: 32%
Step-by-step explanation:
32%
What is the value of this expression n = 5? 45/n +10
Answer:
19
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
45/5=9
9+10=19