x₁ = 5
x₂ = - 2
Step-by-step explanation:Hi there !
x² - 3x - 10 = 0
x² + 2x - 5x - 10 = 0
x(x + 2) - 5(x + 2) = 0
(x - 5)(x + 2) = 0
x - 5 = 0 => x₁ = 5
x + 2 = 0 => x₂ = - 2
Good luck !
What is the slope of a line that is perpendicular to the line 3y - 4x = -8?
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[tex]3y - 4x = - 8[/tex]
Add sides 4x
[tex]3y - 4x + 4x = 4x - 8[/tex]
[tex]3y = 4x - 8[/tex]
Divide sides by 3
[tex] \frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\ [/tex]
[tex]y = \frac{4}{3} x - 8 \\ [/tex]
This is the slope-intercept form of the line.
We that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus ;
[tex]slope = \frac{4}{3} \\ [/tex]
_________________________________
Remember from now on ;
Multiply of the slopes of the lines which are perpendicular to each other equal -1 .
Suppose the slope of the line which question asked is m.
So :
[tex] \frac{3}{4} \times m = - 1 \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\ [/tex]
[tex]3m = - 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} m = \frac{ - 4}{3} \\ [/tex]
[tex]m = - \frac{4}{3} \\ [/tex]
Done...
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How do you do this question?
Step-by-step explanation:
ln(n) is smaller than n for all n ≥ 1.
Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.
1 / n³ converges (p series test). Therefore, the smaller function ln(n) / n⁴ also converges.
What are the measures of angle A,B,C and D?
Need HeLpPPPP please :)
Answer:
x= 15/16
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
While mining, Jason found a large metal bar that weighed 50 ounces. Jason was also able to determine that the bar contained 60% nickel. How many ounces of nickel are in the metal bar?
Answer:
The answer is 30
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% of 100 = 50/100 x 100 = 50
20% of 40 = 20/100 x 40 = 8
We have,
Weight of the metal bar = 50 ounces.
The percentage of nickel in the metal bar = 60%
The amount of nickel in the metal bar:
= 60% of 50 ounces
= 60/100 x 50 ounces
= 30 ounces
Thus,
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
Learn more about percentages here:
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Find the total surface area of this cuboid,
5 cm
4 cm
6 cm
Simplify the ratio of
15:6
Answer: 5:2
Step-by-step explanation:
1/4 to the 6th power
Answer: 0.00024414062
Step-by-step explanation:
L=10 inches and A=40 square inches, solve A=lw
Answer:
w=4
Step-by-step explanation:
[tex]A=lw[/tex]
[tex]40= (10)w[/tex]
[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]
What is the equation of the line?
Answer:
It’s the second option
Step-by-step explanation:
Two dice are rolled fins the probability the sum is
Answer: You have a 1 out of 36 probability to find find the sum
Step-by-step explanation: There are two dice, and dice have 6 sides, meaning that you must do 6 to the power of 2 which gives you 36
Answer:
The probability will probably be 7.
Fun fact- if you roll a pair of dice, when you count the top number and then grab both dice without messing up the numbers you got it will equal 14 every time
Step-by-step explanation:
Pls Mark Brainliest
This is what I meant to ask lol
Answer:
false
Step-by-step explanation:
theyre not proportional because 100*2=200 but 35*2 is not 45 :)
Answer:
True
Step-by-step explanation:
The miles column is increasing steadily by 100The cost column is increasing steadily by 10Neither column is changing the amount that's being increased and neither is decreasing after an increase, therefore, the answer is true.I hope this helps!
I don’t understand this .
Answer:it’s b because can fold into the shape
Step-by-step explanation:
Write in slope intercept form:
(-3,7) and (6,-8)
Answer:
[tex]y=-\frac{5}{3}x+2[/tex]
Step-by-step explanation:
So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.
Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]
So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).
[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]
Distribute the -5/3 on the right side.
[tex]y-7=-\frac{5}{3}x-5[/tex]
Add 7 to both sides.
[tex]y=-\frac{5}{3}x+2[/tex]
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3,7) and (6,-8)
m=-8-7/6-(-3)
m=-15/6+3=-15/9
m=-5/3
Now let us find the y intercept b.
7=-5/3(-3)+b
7=5+b
b=7-5
b=2
The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)
y=-5/3x+2
Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
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Distribute the following 3(2x+6)
Answer:
6x+18
Step-by-step explanation:
3(2x+6)
Distribute
3* 2x + 3*6
6x+18
Answer: 6x+18
Step-by-step explanation:
Hope this helps
Perform the following Operations on fraction 1/5÷4/5=?
Answer: 1/ 4
Step-by-step explanation:
1/5 x 5/ 4 reduce the numbers with the greatest common factor 5
1/4
1 is ontop 4 is in the bottom 1/4
find the midpoint (-6,-10) (-2,-8)
Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24
Answer: x- intercept (0,-8)
Y- intercept (4,0)
Step-by-step explanation:
jessica has 56 arcade tickets to give away she gives them all to her 8 friends who share them equally how many tickets does each friend get?
Triangle S and Triangle L are scaled copies of one
another. What is the scale factor from L to S?
Answer:
2
Step-by-step explanation:
The bottom of S is 2 units and the bottom of L is 4 Units.
4:2 is the ratio, and that is equal to 2
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 30 + (-12) + 70
B. -10 + (-20) + 1/2
C. 60 +40 + (-25)
Answer:it’s A
Step-by-step explanation:
Will give BRAINLIEST!
Step-by-step explanation:
install microsoft math and do something like this...
Can someone help me ASAP
Answer:
the y intercept is -4 and the slope is 1
Step-by-step explanation:
8.
The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question
The diagram was constructed with straightedge and compass tools.
Select all segments that have the same length as segment AC.
Answer:
AB and AC
Step-by-step explanation:
Because they are the same length
Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations represents how much money is left in his lunch budget after x days of buying lunch?
A.
y = 5x - 190
B.
y = 190 - 5x
C.
y = 190x - 5
D.
y = 190 + 5x
Answer:
The answer is C.
Step-by-step explanation:
Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days
how many regions are in Ghana
Answer:
Ghana Has 16 regions.
Step-by-step explanation:
Answer:
16 regions
No explanation because it isn't needed
Round to the nearest ten 218,487=
Answer:
218,490.
-BBBM
218490
In order to finish this, you just round up the 7 to the nearest tenth (up) to 90
--what is the value of 1/2÷6=
Answer:
0.833...
(3's are infinite)
Answer:
0.08333333333
.Step-by-step explanation:
0.5 divided by 6=0.08333333333
rounded: 0.083repeating
Mustafa is staring at a pizza spinning on a wheel in a glass case.
The pizza is cut into four even slices. The distance P(t) (in cm) between the center of the tastiest looking
slice and the door of the glass case as a function of time t (in seconds) can be modeled by a sinusoidal
function of the form a cos(b. t) + d.
Att = 0, the center of the tastiest looking slice is farthest from the door, at a distance of 30 cm away,
After 2 seconds, it is closest to the door, at a distance of 10 cm.
Find P(t).
t should be in radians.
P(t)
Answer:
10cos(1/2*t)+20
Step-by-step explanation:
I got it right on Khan Academy