Answer:
m2−20m+72=−3
Step 1: Subtract -3 from both sides.
m2−20m+72−(−3)=−3−(−3)
m2−20m+75=0
Step 2: Factor left side of equation.
(m−5)(m−15)=0
Step 3: Set factors equal to 0.
m−5=0 or m−15=0
m=5 or m=15
Answer:
m=5 or m=15
select the procedure that can be used to show the converse of the pythagorean theorem using side lenghths chosen from 6cm, 9cm, 12cm, and 15cm
Answer: what was it?
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLEASE HELP ASAP I WILL MARK BRAINLIEST IF MULTIPLE ANSWERS!!!
Are these two shapes similar?
And why?
Please tell me the answer
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Answer:
Two unique triangles possibleStep-by-step explanation:
Given two sides of 10 cm and one 40° angle
If we use these, we'll get isosceles triangle with:
1. Included 40° angle.
Then the other angles will be same and measure:
(180° - 40°)/2 = 70°2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.
The remaining angle will measure:
180° - 2*40° = 100°There no more unique triangles possible, so the answer is two.
What is the range of the following relation:
(9,-2) (4, 3) ( 8, 10) (-4, 8)
Answer:
(-2, 3,10,8)
Step-by-step explanation:
The second component of ordered pair is always range.
Very easy question - please answer fast
Answer:
A
Step-by-step explanation:
Cause if you go up 1 and to the right three you get a point on the line
What are the values of m x and a
Answer:
The value of x is 3
The value of m is 5.25
The value of a is 1.75
Step-by-step explanation:
I attached the picture with labels to can solve
In the 2 Δs ADE and ACF
∵ DE // CF
∴ m∠ADE = m∠ACF ⇒ corresponding angles
∴ m∠AED = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AD}{AC}[/tex] = [tex]\frac{EA}{FA}[/tex] = [tex]\frac{DE}{CF}[/tex]
∵ AD = AB + BC + CD
∵ AB = 3, BC = 6, CD = x
∴ AD = 3 + 6 + x
∴ AD = 9 + x
∵ AC = AB + BC = 3 + 6
∴ AC = 9
∵ AE = AG + GF + FE
∵ AG = 4, GF = 8, FE = 4
∴ AE = 4 + 8 + 4
∴ AE = 16
∵ FA = AG + GF = 4 + 8
∴ FA = 12
∵ DE = 7 and CF = m
→ Substitute them in the ratio above
∴ [tex]\frac{9+x}{9}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{7}{m}[/tex]
→ By using cross multiplication with the first 2 fractions
∵ 12 × (9 + x) = 9 × 16
∴ 12(9) + 12(x) = 144
∴ 108 + 12x = 144
→ Subtract 108 from both sides
∴ 108 - 108 + 12x = 144 - 108
∴ 12x = 36
→ Divide both sides by 12 to find x
∴ x = 3
→ By using cross multiplication with the second 2 fractions
∵ 16 × m = 12 × 7
∴ 16m = 84
→ Divide both sides by 16
∴ m = 5.25
In the 2 Δs ABG and ACF
∵ BG // CF
∴ m∠ABG = m∠ACF ⇒ Corresponding angles
∴ m∠AGB = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AB}{AC}[/tex] = [tex]\frac{GA}{FA}[/tex] = [tex]\frac{BG}{CF}[/tex]
∵ AB = 3 and AC = 9
∵ GA = 4 and FA = 12
∵ BG = a and CF = m = 5.25
→ Substitute them in the ratio above
∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{a}{5.25}[/tex]
→ By using cross multiplication with the second 2 fractions
∵ 12 × a = 4 × 5.25
∴ 12a = 21
→ Divide both sides by 12 to find a
∴ a = 1.75
This recipe makes 18 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 18 cupcakes
12 ounces butter
6 ounces sugar
9 ounces flour
3 eggs
Answer:
Deepak only wants to make 12 cupcakes. Recipe: 8 ounces butter 4 ounces sugar 6 ounces flour 2 eggs
Step-by-step explanation:
Answer:
8 ounces of butter, 4 ounces of suger, 6 ounces of flour, 2 eggs
Step-by-step explanation:
Please help me with this
I’m give 46 points
Answer:
are you doing angles or are u trying to figure out the question mark at the top???
Step-by-step explanation:
x + 6.2 10.9 can you solve it plz i need can you explain ste by step and not to long plz
please HELP!!??!????!!!!
Consider the linear equation y = 2x - 4. Write an equation in slope-
intercept form for a line parallel to the given line through (-1,6).
a^3•a^3=
b^-4•b^6=
(c^7d^8)(c^2d^5)=
3e^2•5e^9=
4^2•4^3
Pleaseeee answer
Answer:
2. 3. possible answer: (14, 13) and (1, 4). 4a. 1. 4b. 8 __. 5 , or 1.6. 4c. 9 __. 4 ... 2)(x. 3). The areas of the inner rectangles are x 2, 2x, 3x, and 6. The sum of the areas of the ... 2. C. 3a. c 27. 3b. c 5.8. 3c. c 9. 4. B: x represents the number of dozens of calls ... 3d. IQR 548. 3e. Answers will vary. Possible answer: The three top.
Step-by-step explanation:
Basketball shoes: $77.85 Tax Rate: 7.75% What is the final price of the product after a tax is applied.
Answer:
It would be $83.88
Answer:
$83.88
Step-by-step explanation:
77.85 x .0775 = 6.03
77.85 + 6.03 = 83.88
Which expression does the graphic represent?
Answer:8-1
Step-by-step explanation:If you have eight dollars and you spend one you are 1 dollar short
I need the second answer!?!?
Answer:
2³ · 3³
Step-by-step explanation:
[tex]\frac{6^{3} . 2^{6}}{2^{3} }[/tex]
= (6³/2³) · (2⁶)/(2³)
= 3³ · 2⁶⁻³
= 3³ · 2³
One number is eight less than a second number. Three times the first is 6 more than 5 times the second. Find the numbers.
Answer:
12 times the 3 equals to around 36 seconds
Step-by-step explanation:
100 POINNTTSSThe following box plot shows the class scores on a particular math test:
box plot with number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum
Which of the following data sets is represented in the box plot?
{40, 55, 55, 85, 85, 100}
{0, 40, 70, 80, 95, 100}
{70, 70, 75, 80, 85, 95}
{40, 70, 70, 80, 80, 95, 95, 100}
Answer: are you in the algerbra in flvs ? lol just wondering
Step-by-step explanation:
it would be the last option or
(40, 70, 70, 80, 80, 95, 95, 100)
have a great day :)
The following data sets are represented in the box plot
(40, 70, 70, 80, 80, 95, 95, 100)
We have given that,
the class scores on a particular math test box plot with a number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum
What is the box plot?A boxplot is a graph that gives you a good indication of how the values in the data are spread out.
The following data sets are represented in the box plot
(40, 70, 70, 80, 80, 95, 95, 100).
To learn more about the box plot visit:
https://brainly.com/question/14277132
#SPJ5
Please help me!!!!!!
Differentiate the function with respect to x
f(x)=( x^4 +1)(-x^2 +5)
SHOW ALL WORK!!
Answer: -x^6+5x^4-x^2+5
x^4×-x^2= -x^6
x^4×5= 5x^4
1×-x^2=-x^2
1×5=5
-x^6+5x^4-x^2+5
I hope this helps:
If there are 48 countries in Asia out of 195 countries in the world, what percent of countries are in asia? Please help, i don’t understand.
Answer:
24.61%
Step-by-step explanation:
48÷195=0.24615385
convert that decimal to a percent
24.61%
*********if the question asks you to round up, then the answer is 24.62%
Karl’s watering system rotates at a constant. One complete rotation takes 72 hours. Following the circular motion of the watering system, how many degrees was watered after TWO DAYS?
Answer:
After two days, 240 degrees was water.
Step-by-step explanation:
24 hours = 1 day
72 hr/24 hr = 3 days
Therefore, one full rotation takes 3 days.
1 rotation = 360 degrees
360 degrees/ 3 days = 120 degrees per day
120 degrees x 2 days = 240 degrees
240 degrees was watered after two days
Need help ASAP giving 25 points
Answer:
63in. 2
Step-by-step explanation:
Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ
Answer:
sinθ = 5/13
Step-by-step explanation:
cosθ = adjacent/hypotenuse (or you could think of it as x/r)
cosθ = -12/13
adjacent = -12
hypotenuse = 13
opposite = ?
To get the opposite, we use the Pythagorean theorem
[tex]hypotenuse^{2} = adjacent^{2} + opposite^2[/tex]
[tex]hypotenuse^{2} - adjacent^{2} = opposite^2[/tex]
[tex]\sqrt(hypotenuse^{2} - adjacent^{2}) = opposite[/tex]
Now sub in the numbers:
[tex]\sqrt{(13^2 - (-12)^2)} = opposite[/tex]
opposite = 5
Now sinθ = opposite/hypotenuse
so sinθ = 5/13
Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 47.
you must also give the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
Let the number be = nTwice the number n = 2nSum of twice the number and six = 2n+6Thirteen less than twice the sum of a number and six = 2n+6-13And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:[tex]2n+6-13 = 47[/tex]
Solving the algebraic expression
solving the equation for 'n'
[tex]2n+6-13 = 47[/tex]
[tex]2n-7=47[/tex]
Add 7 to both sides
[tex]2n-7+7=47+7[/tex]
Simplify
[tex]2n=54[/tex]
Divide both sides by 2
[tex]\frac{2n}{2}=\frac{54}{2}[/tex]
Simplify
[tex]n=27[/tex]
Please help
Evaluate 7 + 5 to the power of 2 • 4.
Answer:
107
Step-by-step explanation:
7 + (5^2) x4
= 7 + 25x4
= 7 + 100
= 107
HELP ME PLS
Solve x-3y-6=0
Please help
Evaluate 6 to the power of 2 divided (3 + 9).
Answer:
3.272727
Step-by-step explanation:
6^2/(3+9)
= 6^2/(11)
= 36/(11)
= 3.272727
Need help with these 2
Thank you
Also, giving a lot of point because I've asked for a lot of help already only need these last 2
Answer:
19 is 38x - 3y - 34
20 would be yes
Given the known sides, solve for y
Answer:
We conclude that:
m∠y = 70.53°Step-by-step explanation:
From the given right-angled triangle,
Hypotenuse is 15The angle is ∠y The adjacent to angle ∠y is 5Using the trigonometric ratio,
cos y = adjacent / hypotenuse
substituting adjacent = 5, hypotenuse = 15
cos y = 5/15
cos y = 1/3
y = arc cos (1/3)
y = 70.53°
Therefore, we conclude that:
m∠y = 70.53°