Answer:
f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:
Answer:
option c
Step-by-step explanation:
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
someone please please answer this I really need help
Answer:
We have ordered pairs (60,360), (120,720), (180,1080), (240,1440), and (300,1800) as the answer.
Step-by-step explanation:
The table would look like this:
Under minutes you would place 60, 120, 180, 240, and 300.
Under calories you would place 360, 720, 1080, 1440, and 1800.
y = 6x
Multiply 60, 120, 180, 240, and 300 by 6 for 6 calories. This gives us the ordered pairs above.
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
you guys know the drill,
Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.
Answer:
No because they are not proportional. 2•3=6 but 4•3 does not equal 11.
What is the missing side length in the triangle?
Yall please help me! Given the image below, which postulate or theorem can be used to prove that Δ ΟΕΗ ΝΔ SH E? ?
Answer:
bottom one
Step-by-step explanation:
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
900Answer:900
Step-by-step explanation:
Which number is between
Answer:
D
Step-by-step explanation:
7.17 x 10(4) = 71,700
8.17 x 10(5) = 817,000
Any numbers between 71,700 and 817,000 is obv the answer
I did the math
A 69,200
B 7,200,000,000
C 7,570
D 80,530
Pretty obv that D be the only one that is inbetween 71,700-817,000
(excuse my spelling pls)
Help me to do this question
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
The solution set of 14x - 71 = 9 is
Answer:
40/7
Step-by-step explanation:
14x - 71 = 9
14x=80
x=80/14
x=40/7
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answer:
38
Step-by-step explanation:
triangle
Answer have to be units please and thank you
work out 2/7 divided 7/8
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
H.C.F of 2x²y² , 8xy³
Answer:
Step-by-step explanation:
HCF = 2xy^2
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
What is the coefficient of the squared term in the parabola's equation?
What is the coefficient of the squared term in the parabola's equation?
Answer:
C.) 3
Which of the following are equivalent to:
x^6•x^4
Select ALL that apply:
A) x^10
B) x^12•x^12
C) x^7•x^3
D) x^8•x^3
E) x^24
F) x^8•x^2
SOMEONE, PLEASE HELP ME!
what is the value of x? x+15=2x-40
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
Answer:
x = 55
Step-by-step explanation:
x+15=2x-40
take away x from both sides and add 40 on both sides to get the like terms on each side
55 = x
Consider this equation..
Answer:
-27
Step-by-step explanation:
[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]
Answer:
45
Step-by-step explanation:
[tex]\sqrt{x^{4} } -y^{2}[/tex]
Plug in 3 for x and -6 for y
[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]
[tex]=\sqrt{3^4}+6^2[/tex]
[tex]=\sqrt{3^{4} } =3^{2}[/tex]
[tex]=3^2+6^2[/tex]
[tex]3^{2} =9[/tex]
[tex]=9+6^2[/tex]
[tex]6^{2} =36[/tex]
[tex]=9+36[/tex]
[tex]=45[/tex]
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
The frequency table below displays 17 students'
responses to the question "What types of caffeinated
drinks do you consume?"
Would it be appropriate to make a pie chart to display
the data?
Coffee
10
Tea
9
Soda
9
Energy
3
Yes, because the data are grouped into categories.
Yes, because the data can be displayed by a
relative frequency compared with the whole.
No, because the data do not consist of parts of a
whole.
No, because the data categories are too broad.
Answer:
a
Step-by-step explanation:
i did the test and it was right
What point has coordinates of (-5,-2)
Point C has the coordinates: (-5, -2)
Answer:
c
Step-by-step explanation:
A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.
Answer:
$22.50
Step-by-step explanation:
Answer:
$95 is the markup
Step-by-step explanation:
Add 45+50=95
square root of 44,100 by division
210 IS THE POSSIBLE ANSWER
NEED HELP ASAP !!!! SOMEONE HELP ME
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR
0Answer:
Angle PTR is 136*
Step-by-step explanation:
In Question, We Have Given
Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .
Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)
Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .
Thus The Angle Of PTR is
∠PTR = 360* - ( 90*+90*+44*)
∠PTR = 360* - 224*
∠PTR = 136*
Diagram, Please Find In Attachment
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x
Answer:
The answer is h(x)=(1/4)x
Step-by-step explanation:
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
