Answer:
3x + 7 = -20
3x = -20-7
3x = -27
3x ÷ 3 = x
- 27 ÷ 3 = -9
x= -9
1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information
Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
what is the answer to (-3)×(-5)
Answer:
15
Step-by-step explanation:
-3 x -5 = 15
How do you write 352 in expanded form
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
please help me!
Decrease £40 by 10%
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
Can someone help me with 5-6
Answer:
B, C
Step-by-step explanation:
I love slope
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Help please it’s needed!
Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.
Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5
Answer:
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x subtract x both sides
8x+9=25 subtract 9 both sides
8x=16 divide by 8
x=2
what are the three products of celullar respiration
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
The diagram shows a triangle.
45°
38°
What is the value of s?
Answer:
97 degrees
Step-by-step explanation:
If 45 + 38 = 83
A triangle is 180 always
so 180-83=97
Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x [tex]e^{r}[/tex] x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x [tex]e^{r}[/tex] x 5
Divide both sides by $16,000
20 = 5[tex]e^{r}[/tex]
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
To learn, please check: https://brainly.com/question/14640433
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
Solve for x in the equation: 2x-7=14
Answer: x=10.5
Step-by-step explanation:
To solve for x, we want to use our properties to isolate x.
2x-7=14 [add both sides by 7]
2x=21 [divide both sides by 2]
x=10.5
Now, we know that x=10.5.
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
What is the equation of the linear function?
= -x + 6
A
y = -2x + 3
y=-3x +3
y = ;& + 3
Done
Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.
The y-intercept of the graph is -3
How to find the y-intercept of a graph?The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.
Using slope intercept formula,
y = mx + b
where
m = slopeb = y-interceptNow, let's trace the value of y when x = 0 in the graph.
Therefore,
when x = 0, y = -3
Hence, the y-intercept of the graph is -3
learn more on y-intercept here: https://brainly.com/question/20759265
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In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
Find out more at https://brainly.com/question/14493658.
What is the slope of 3x-2y=7?
Answer:
The slope is -3/2
Step-by-step explanation:
Hope this helped have a good day!
Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?
⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️
THIS IS MY LAST ONE HELP
Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
help im being timed what is the perimeter of this triangle?!
Answer:
AB + BC + CA
Step-by-step explanation:
12b-8 + 12b- 8 + 9b+8
33b - 8
Will give brainliest if correct.
Answer:
Step-by-step explanation:
a. $7.
b. $1x.
c. $20.
d. $5y.
e. $1x + $5y.
I hope this helps, sorry if I am incorrect. Have a nice day!
(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?
Answer:
10 families have cats
25 families have dogs
Step-by-step explanation:
The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...
dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10
There are 10 families with cats and 25 families with dogs.
Answer:
B D and E.
Step-by-step explanation: