Answer:
x=3
HI=18
Step-by-step explanation:
Equations
Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:
GI = GH + HI
Every segment is given as an expression with variable x:
[tex]HI=6x[/tex]
[tex]GH=x^2+5x[/tex]
[tex]GI=7x+21[/tex]
Substituting:
[tex]7x+21=x^2+5x+6x[/tex]
Moving everything to the right side:
[tex]0=x^2+5x+6x-7x-21[/tex]
Swapping sides and simplifying:
[tex]x^2+4x-21=0[/tex]
Factoring:
[tex](x+7)(x-3)=0[/tex]
Solving, we have two possible solutions:
x=-7, x=3
The negative solution is discarded because it would result in negative lengths. Thus the solution is
x=3
Determine the length of HI:
HI=6x=6*3=18
HI=18
Math problem number 6 its in the ss
A Pattern has 5 blue triangles to every 80
yellow triangles, what is the ratio of blue
triangles to all triangles?
Answer:
5:80, there are only 2 numbers
Step-by-step explanation:
The ratio of blue triangles to all triangles is 1 : 17.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
A Pattern has 5 blue triangles to every 80 yellow triangles.
Here, Number of blue triangles = 5
Number of all triangles = 5 + 80
= 85
Thus, The ratio of blue triangles to all triangles is,
⇒ Number of blue triangles : Number of all triangles
⇒ 5 : 85
⇒ 1 : 17
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Evaluate 7-2
A. -49
B. -1/49
C. -14
D. 1/49
Answer:
(D)
Have a great day!!!
The correct value of number 7⁻² is,
D. 1/49
We have to given that,
The number is,
⇒ 7⁻²
Now, We can simplify it as,
⇒ 7⁻²
It can be written as,
⇒ 1 / 7²
⇒ 1 / 7×7
⇒ 1/49
Therefore, The correct option is,
D. 1/49
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Mrs. Chin paid a 20 percent tip on the bill for lunch.
Total
100%
20%
$2.75
Percents
20%
$2.75
20%
$2.75
20%
20%
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
0 $5.50
$13.75
O $16.50
O $55.00
Answer:$13.75
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I just took the test
1. Given x=5, plug x into y=10x-2.
a. 38
b. 12.
C. 13
d. 48
Answer:
D. 48
Step-by-step explanation:
y=10x-2 is our equation
If x is 5, then multiply 10 by 5. You get 50.
Subtract 2 from that. You get 48.
Answer:
D, 48
Step-by-step explanation:
Given x=5, plug x into y=10x-2
First you should plug the given x into the x in the equation. And put () around it.
y=10(5)-2
Now you multiply 10 by 5 and you get 50.
y=50-2
Now the last step is to subtract 2 from 50 which you will end up getting y=48. So the answer is y=48 which is letter D.
y=48
a red candle is 8 inches tall and burns at a rate of 7/10 inches per house a blue candle is 6 inches tall and burns at the rate of 1/5 inches per hour after how many hours willl both candles be the same height? ~ASAP HELP PLS THIS IS DUE IN A FEW HOURS!!~
Answer:
it will take 6 hours, or at least im pretty sure it will
Step-by-step explanation:
A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s+3.5c=21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.
1. Explain how we can tell that this graph represents the give equation.
2. What do the vertical and horizontal intercepts, (0,6) and (14,0), mean in this situation?
Answer:
Step-by-step explanation:
Teacher bought $21 worth of stickers and cardstock for his class.
Cost of stickers = $1.50 per sheet
Cost of 's' sheets = $1.5s
Cost of cardstock = $3.50 per pack
Cost of 'c' packs = $3.5c
Equation representing the relationship between sheet of stickers and packs of cardstocks will be,
1.5s + 3.5c = 21
3.5c = -1.5s + 21
1). [tex]c=-\frac{3}{7}x+6[/tex]
y-intercept of the line → (0, 6)
x-intercept of the line → (14, 0)
Therefore, equation of the line represents the line on the graph.
2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.
Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Expand: f(x) = x4 − x3 + x2 + x −
Answer:
7
7
21
30
Step-by-step explanation:
its right i got it on edge 2020
Answer:
keep it simple 7, 7, 21, 30
Step-by-step explanation:
Please help!!!
Write an equation to represent the total weight, p, of a full animal watering pail, if the pail weighs 12 pounds and the water weighs 8.3 pounds per gallon,g.
Answer:
12+8.3(g)=p
Step-by-step explanation:
#of gal of water x 8.3 per gal. number of gallons of water is not given so it is represented by g
+ weight of pail which is given, 12
= p , weight of full pail
What is the slope of this line?
Give your answer as a fraction in simplest terms.
Answer:
1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.
Answer:
The slope = 1/4
suppose the total area is 132 square units, b=5, d=4, and the area I is a square. Find the missing lengths and areas.
Answer:
/////////
Step-by-step explanation:
Is this a function (3,1), (3,2), (4,5)?
Answer:
No
Step-by-step explanation:
If the x value does not repeat than it's a funtction so therefore so therefore it t's not a function cause the variable of repeats
I need some help with this equation.
Answer:
I think that the answer is C) or the last one
I think it's the second one
How much would a man who weighs 50 pounds on the moon weigh on Earth?
w¹²/w¹⁸
helppp I don't know what to do
My brain feels very much fried can someone help me
Answer:
22.33
Step-by-step explanation:
Answer:
0.37703703703704
Step-by-step explanation:
x ² - 2x + 1 = 0 what is the value of x?
Answer:
x = 1
Step-by-step explanation:
x^2 - 2x + 1 = 0
Factor
(x - 1)^2 = 0
x - 1 = 0
Add one to both sides.
x = 1
.The quantities xxx and yyy are proportional.
xxx yyy
444 101010
555 12.512.512, point, 5
101010 252525
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals
Answer:
2.5
Step-by-step explanation
:khan academy
Answer:
rx is 2.5. as the cop (constant of proportionality)
plz help me I need it
b = 92 degrees (choice B)
c = 92 degrees (choice D)
d = 92 degrees (choice F)
================================================
Explanation:
Angles a and b are supplementary because they form a straight angle when combined. The two angles add to 180
a+b = 180
88+b = 180 ... plug in a = 88
b = 180-88 ... subtract 88 from both sides
b = 92
------------
Angles b and c are congruent because they are alternate interior angles. Alternate interior angles are congruent when dealing with parallel lines.
Since the diagonal entrance ramps are parallel, this means the corresponding angles c and d are congruent.
Since b = 92, this means c = 92 and d = 92 also.
Negative three times a number increased by seven is less than -11.
Answer:
-3x+7<11
Step-by-step explanation:
I hope I helped you
Mario walked 7422 steps one day then he walks 5570 stops the next day. which calculation can be used to find the total number of steps Mario walked two days
Answer:
A caucluation he can use is adding, just add 7422 and 5570 and you should get your answer.
Step-by-step explanation:
Mario walked total 12992 steps.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mario walked 7422 steps one day
and, he walks 5570 stops the next day.
So, the total number of steps
= 7422 + 5570
= 12992 steps
Hence, Mario walked total 12992 steps.
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if y= -8 when x= -2 whats x when y=32
Answer:
8
Step-by-step explanation:
Y) -8 x -4 = 32
X) -2 x -4 = 8
Answer:
X=8
hope this helps =3
sorry if im wrong
5/16=x/64 what is x.
Answer:
5/16=x/64
Step-by-step explanation:
the x is 1280 that is the answer
Answer:
20 even though its not an answer option?
Step-by-step explanation:
It should be since 16x4=64 5x4=20
3 points determine exactly one plane: true or false?
Answer:
True
Step-by-step explanation:
I looked it up
The graph shows the reciprocal parent function
The function has no intercepts.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The x-intercept is the point on the x-axis when y= 0.
The y-intercept is the point on the y-axis when x= 0.
We see that,
There is no point on the x-axis or y-axis that the graph is touching.
So,
We can say that,
There are no x-intercepts and y-intercepts.
Thus,
The function has no intercepts.
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Rearrange to make a the subject:
v=u+at
Answer:
a = [tex]\frac{v - u}{t}[/tex]
Step-by-step explanation:
v = u + at
u + at = v
at = v - u
a = [tex]\frac{v - u}{t}[/tex]
Solve v +8 <3 or 8v <-40.
[tex]v + 8 < 3[/tex]
Subtract sides -8
[tex]v + 8 - 8 < 3 - 8[/tex]
[tex]v < - 5[/tex]
_________________________________
[tex]8v < - 40[/tex]
Divided sides by 8
[tex] \frac{8}{8}v < \frac{ - 40}{8} \\ [/tex]
[tex]v < - 5[/tex]
_________________________________
Done.... ♥️♥️♥️♥️♥️
The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Given the inequality,
v +8 < 3
Adding -8 on both sides
v + 8 - 8 < 3 - 8
v < -5
Or,
8v <-40
Divide 8 on both side
v < -5
Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".
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Find the missing value so that the line passing through the points has the given slope
(10,y) and (3,4) m= -2/7
Answer:
y = 2Step-by-step explanation:
Using slope formula and solving for y
m = (y2 - y1)/(x2 - x1)
-2/7 = (4 - y)/(3 - 10)-2/7 = (4 - y)/-72 = 4 - yy = 4 - 2y = 2Answer:
y = 2
Step-by-step explanation:
Using slope formula and solving for y
m = (y2 - y1)/(x2 - x1)
-2/7 = (4 - y)/(3 - 10)
-2/7 = (4 - y)/-7
2 = 4 - y
y = 4 - 2
y = 2
Helps me solve this problem please 12 and 14
Answer:
12 is C and 14 is A
Step-by-step explanation:
