Answer:
slope = - 2.25
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide through by 4 )
y = - 2.25x+ 2 ← in slope- intercept form
with slope m = - 2.25
The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠ BAD ≅ ∠ DCB What is the missing reason In this partial proof? Question 3 options:
ASA Substution Angle Angle Postulate Alternate Interior Angles are Congruent
A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:
B. Substitution Angle Angle Postulate.
A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].
To prove that ∠ BAD ≅ ∠ DCB, we have:
Given parallelogram ABCD;
<BAC ≅ <ACD (alternate angle theorem)
<DAC ≅ <ACB (alternate angle theorem)
<BAC + <DAC = <BAD
Also,
<BCA + <DCA = <BCD
Therefore,
<BAD ≅ <DCB (Substitution Angle Angle Postulate)
Thus, the missing reason in the partial proof is:
option B. Substitution Angle Angle Postulate
A sketch is attached to this question for more clarifications.
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50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k
Answer:
The greatest common factor of 4k, 18k4, and 12 is 2.
Answer A 2
Hope this helps
Solve.
1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
(x + 3/5) = 9
Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
Now, to combine the terms on the right side:
x = 45/5 - 3/5
x = 42/5
Therefore, the solution to the equation is x = 42/5.
To learn more on Equation:
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Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
Write an algebraic expression for each phrase
Let n represent am unknown number…
Q1) The sum of five times a number and six ______
Answer:
5n + 6Step-by-step explanation:
Let n represent am unknown number
Q1) The sum of five times a number and six:
5n + 6Let n represent an unknown number.
Five times a number=5nAnd six =6The expression is
5n+6System of equation by using substitution
3=y+3x
-x+3y=29
Answer:
x=-2
y=9
Step-by-step explanation:
3=y+3x ---- A
-x+3y=29 ----B
step 1. rearrange equation A, so you have the "y" variable on one side
3=y+3x
-3x -3x
3-3x=y
y=3-3x ---- C
step 2. Substitute equation C into equation B in place of "y"
-x+3(3-3x)=29 ---foil
-x+9-9x=29 -- collect like terms
-10x+9=29
-9 -9
-10x=20
÷-10 ÷-10
x=-2
Step 3. Substitute x=-2 into equation C to find y
y=3-3(-2)
y=3+6
y=9
Check you answer by subsituting x=-2 and y=9 back into equation A and B
Which ordered pair is a solution to
the equation
3x + 9y = 27 ?
Answer:
x=9-3y
Step-by-step explanation:
- Move the variable to the right & change its sign
3x + 9y = 27
- Divide both sides by 3
3x = 27 - 9y
- Write the solution x in parametric form
x=9-3y
- Solution:
x= 9-3y
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation:
A local business donated 40,782 marbles to distribute equally
among 42 sixth grade classes in the district. How many marbles
did each class receive?
Answer:
971
Step-by-step explanation:
40782/42=971
Answer: 971 marbles per class
Step-by-step explanation:
40,782 marbles divided by 42 classes =
971 marbles per class
Check
971 x 42= 40782
Please help very confusing
Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?
Answer:
no if the diameter was 7.2 inches the circumstance would be 22.62 :)
A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?
Answer:
5.48 lb
Step-by-step explanation:
12 inches is 1 foot.
12.8 times that length will have 12.8 times that weight:
12.8 · 0.428 lb = 5.4784 lb ≈ 5.48 lb
__
The given values have 3 significant figures, so the answer needs to be rounded to 3 significant figures.
The price of a cinnamon roll is $2.00. The bakery has a sale, and all prices are 10% off. What is the sale price of the cinnamon roll
Answer: $1.80
Step-by-step explanation:
10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}╭──━━━═══════━━━──╮[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}╰──━━━═══════━━━──╯[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Step-by-step explanation:
[tex] \\ {5400} \div 300000[/tex]
[tex] \\ = \frac{5400}{300000} [/tex]
[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]
[tex] \\ = \frac{9}{500} [/tex]
[tex] \\ = 0.018[/tex]
Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?
Answer:
48 books
Step-by-step explanation:
you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \frac{3}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]
Find the missing value given the points and slope.
(x,1) and(4,6)
m=−5
Answer:
x = 5
Step-by-step explanation:
yeah-ya...... right?
Step-by-step explanation:
the slope is the ratio y change/ x change.
it is -5 here, that means -5/1.
we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).
in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.
so, point 1 is (5, 1).
point 2 is a indicated (4, 6).
What is the value of w in this equation?
10w = 27 + w
Answer:
w = 3
Step-by-step explanation:
10w = 27 + w
since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation
10w = 27 + w
-w - w
9w = 27
now we have to get w alone so we have to divide 9 by both sides
9w/9 = w
27/9 = 3
so w = 3
6(3x-1-2x)=(2x-5-8)
determina el conjunto de la ecuacion lineal
6(3x-1-2x)=(2x-5-8)
Expand expression 1 : 18x-6-12x
18x-6-12x=2x-5-8
Collect like terms
18x-12x-2x= -5-8+6
4x= -7
x= -4/7
Pls help i am so lost
Answer:
x= 90 degrees
y=43 degrees
Step-by-step explanation:
will mark brainlist if right no links
Four expressions are shown below
I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to
I and II, only
I and II, only
II and IV, only
II and IV, only
I, II, and IV
I, II, and IV
II, III, and IV
Answer:
1, 2, and 4
Step-by-step explanation:
distribution
does anyone know this
Answer:
9.2
Step-by-step explanation:
We can use the Pythagorean Theorem, a^2 + b^2 = c^2 to solve this. Since a and b are the lengths of the two sides and c is the length of the hypotenuse, we modify the original formula to c = [tex]\sqrt{a^{2} +b^{2} }[/tex] to find the length of the diagonal. We would get c = [tex]\sqrt{7^{2} +6^{2} }[/tex] = 9.2.
Find the value of Y - triangle measurments
PLEASE HELP! I WILL GIVE BRAINLIEST!
Answer:
y=8
Step-by-step explanation:
6y=8y-16
-2y=-16
y-8
congurnet side have congruen angles
[tex]\\ \sf\longmapsto <N=<P[/tex]
[tex]\\ \sf\longmapsto 6y=8y-16[/tex]
[tex]\\ \sf\longmapsto 8y-6y=16[/tex]
[tex]\\ \sf\longmapsto 2y=16[/tex]
[tex]\\ \sf\longmapsto y=8[/tex]
Y=-3(x-4)+3x
Find f(-1)
Can someone solve and explain please? No Bots No Links.
Answer:
12
Step-by-step explanation:
while f(x) = f(-1) then we can solve the equation
Y=-3(x-4)+3x
f(x)=-3(x-4)+3x
f(-1)=-3(x-4)+3x
=-3((-1)-4)+3(-1) = 12
Y=12
1\4-2\5
plese help and thank
you
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
Can somebody help me with my Geometry?
Answer:
∠KJL = 45°
∠x=45°
∠DBC=67.47°
Step-by-step explanation:
x+x=90
2x=90
x=45°
Answer: there you go
Step-by-step explanation:
a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?
Answer:
88 markers long just take 22 and divide it by .25
Halppppppppppppp..............
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
