Lets Solve
[tex] \\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6[/tex]
Ignore negative valueCan I have answers need them?
If A = {1,3,5,7,9, B = {0,36 lotin
AUB.
Step-by-step explanation:
a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest
Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)
Answer:
y = -0.14286x + 1.2857
Step-by-step explanation:
Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.
Hope that this helps!
9514 1404 393
Answer:
5x -7y = -3
Step-by-step explanation:
The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.
Find the new constant by using the x- and y-values of the given point.
-7x -5y = 9 . . . . given equation
-5x -7y = c . . . . equation with coefficients swapped
5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated
5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3
The equation of the perpendicular line is ...
5x -7y = -3
The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?
(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°
Answer:
Step-by-step explanation:
The degrees around a point = 360, so
1. x + 95 + 3y + 80 = 360 so
2. x + 3y = 185
3. 65 + 3y = 185 and
3y = 120 so
y = 40
Answer:
y=40
Step-by-step explanation:
sum of all 3 angles : 240
3y+240=360
3y=360-240=120
y=3÷120
y=40
Fill in the blank with the correct word.
When solving a numerical expression, you must add or subtract from left to type your answer...
order.
Please help!
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
What is the value of x in the diagram below?
Answer:
Step-by-step explanation:
This is a parallelogram. In parallelogram, opposite sides are equal.
x + 3 = 6
x = 6 - 3
x = 3
Answer:
3
Step-by-step explanation:
parallelogram - top side = bottom side (parallel sides)
; x + 3 = 6
; x = 6 - 3
; x = 3
Given that the area of the trapezoid is 55cm find x
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 3 child tickets for a total of $100. The school took in $132 on the second day by selling 6 senior citizen tickets and 7 child tickets.
Answer:
What is the question pls
What is the equation of a circle with center (7, 2) and radius 2?
Answer:
(x - 7)² + (y - 2)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (7, 2 ) and r = 2 , then
(x - 7)² + (y - 2)² = 2² , that is
(x - 7)² + (y - 2)² = 4 ← equation of circle
Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8
Step by step explaination
y-4x= -4
y= 4x-4
slope of the given eqn of line = 4
and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4
OPTION C , the eqn has slope = 4
i will give brainliest.
Answer:
speed
Step-by-step explanation:
Solve for all solutions of p.
We are given the equation below:
[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]
Use the property below:
[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]
From the equation:
[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]
Hence the answer is p = ± 1/2.
Answer
p = 1/2, -1/2p = ± 1/2Both answers work. The second answer is in the plus-minus form.
Hope this helps! Let me know if you have any doubts.
Consultant plans a survey to determine what % of the patients in a particular hospital were satisfied with the care they received after a major treatment. How many such patients should be surveyed so the margin of error for a 90% confidence interval is within .05? Suppose it is known from a past survey that such a % may be about 80%.
Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The [tex]\text{provided estimate population proportion}[/tex] p is 0.8
The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]
[tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
If Adrian were to spin the spinner 400 times, how many times could he
expect to get yellow? Use theoretical probability.
Answer:
c
Step-by-step explanation:
Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years
Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$
pls anyone that can help
A. 34cm
Hope this helps! :)
Answer:
I think it’s b but I’m not 100% sure tho…
Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171
find the product (3n-4)(3n-4)
Answer:
9n-8 is the product
Answer:
Search Quickmath in Chrome and
all problem will solve... I hope it helps and trust me it works
PLEASE HELP ME !! I BEG
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]
smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1
Answer:
0.1,0.5,0.8,0.9
Step-by-step explanation:
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
Do the side lengths 7, 20 and 21 form a right triangle?
==============================================
Work Shown:
a^2+b^2 = c^2
7^2+20^2 = 21^2
49+400 = 441
449 = 441
We end up with a false equation, so the original equation is false for those a,b,c values.
By the pythagorean theorem converse, we do not have a right triangle.
Because a^2+b^2 > c^2, this triangle is acute.
Which one is the correct answer above?
select the correct answer
what is 3x+8 + 4x+10
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
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HELP HELP HELP HELP HELP
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
CAN ANYONE HELP ME WITH THIS PLEASE??
Answer:
The answer is A. 6.4 and 5.6 and D. 39 and 27.
Step-by-step explanation:
A. 6.4 and 5.6 = 1.6 and 1.4
6.4 / 1.6 = 4
1.4 * 4 = 5.6
So A is correct.
D. 39 and 27 = 13 and 9
39 / 13 = 3
9 * 3 = 27
So D is correct.
Hope this helps! :)
