X^2 + 4x - 7x = 0
GIVE YOUR ANSWER TO THE CORRECT 2 DECIMAL PLACES
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x = -5.32, x = 1.32
Step-by-step explanation:
Ok. So to use the Complete the Square method, you divide the middle value by 2 and then square the number you get. This will give:
[tex](x^{2} + 4x + (\frac{4}{2}) ^2) - (\frac{4}{2}) ^2 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 4 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 11 = 0[/tex]
[tex](x^{2} + 4x + 4) = 11[/tex] (now factor the left side)
[tex](x + 2)(x + 2) = 11[/tex]
[tex](x + 2)^{2} = 11[/tex] (now square root both sides)
[tex]\sqrt{(x + 2)^{2}} = \sqrt{11}[/tex]
[tex]x + 2 = \sqrt{11}[/tex]
[tex]x = - 2 +/- \sqrt{11}[/tex] (+/- = plus or minus)
x = -5.32, x = 1.32
Can I please get some help really quick??
I need help on both please TwT
Answer:
1) fourth table
2) last option
owing. b. Is 3 a factor of 34?
Answer:
No, 3 is not a factor of 34
Answer:
no
Step-by-step explanation:
34: 1,2,17,34
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
please help and show work if you can I only need 10, 11 and 12
Answer:
Step-by-step explanation:
10). AD = BC [If ABCD is a parallelogram]
3x + 1 = 6x - 4
6x - 3x = 1 + 4
3x = 5
x = [tex]\frac{5}{3}[/tex]
11). If ABCD is a parallelogram,
AB = CD
5x - 8 = 2x + 7
5x - 2x = 7 + 8
3x = 15
x = 5
12). If ABCD is a parallelogram,
AB = CD
AB║CD and BD is a transversal intersecting these parallel lines.
∠ABD ≅ ∠BDC [Alternate interior angles]
4x - 1 = x + 38
4x - x = 38 + 1
3x = 39
x = 13
Carrie is making a temporary ramp from the ground to the top of his patio so that he can roll a cart up to it to move furniture in. The surface of the patio is 3‘9“ above the ground and Gary wants the ramp to have a slope of no more than 0.375. What is the shortest horizontal distance he can have from the base of the patio to the base of the ramp
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The slope is rise/run. Using Gary's numbers, we have ...
m = rise/run
0.375 ≥ (3.75 ft)/run
run ≥ (3.75 ft)/0.375
run ≥ 10 ft
The shortest horizontal distance to the base of the ramp is 10 feet.
It takes 16 people to pull a 30 ton cable wire. How many people would it take to pull a 60 ton cable wire?
The answer to this question is 32
Explanation
16/30 cross multiplies x/60
after you get, 960=30x
then divide by 30 and then you get 32.
or you can just take 16 and multiply it by two since 60 is a multiple of 30.
Pls help me..... It due ASAP
Answer:
D
Step-by-step explanation:
D is the right answer for the question
Can somebody please help me with these pleaseeeee!
Plz help !!!!!!!!!!!!!!!!!!
Answer:
i am sorry i do not understand ill try to look harder ill keep u updated
Step-by-step explanation:
The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary.
Answer: 27.7 millimeters
Step-by-step explanation:
Let the missing leg be represented by x.
We will use Pythagoras formula to solve this. The measure of the missing leg will be:
x² = 37² - 24.5²
x² = 1369 - 600.25
x² = 768.75
x = ✓768.75
x = 27.7
The missing leg is 27.7 millimeter
Plzzz someone help me with these 2 problems I will give you 33 points
Find the values of v, w, x, y and z
The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?
Answer:
6000/s^2
Step-by-step explanation:
Answer 6000/s^2
Step-by-step explanation:
Tina has $24.00 in coins and is putting them into piles of $0.03. How many piles will she have?
Answer:
800 I think I think I think or I know
Ratio Ralph can ride his bike 5 miles in 20 minutes. How many miles can he ride in
an hour and a half if he keeps this pace?
Answer:
22.5 miles
Step-by-step explanation:
There are 3, 20 minute increments in an hour, and 1 and a half 20 minute increments in half an hour, so, you simply add 3 + 1.5 which equals 4.5.
Then, multiply 5 (miles) by 4.5 to get 22.5 (miles).
Simplify
14^15 over 14^5
Plz help me due in 5 min
Answer:
I believe its C sorry if I am wrong :(
Step-by-step explanation:
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
Real I need help ppplllsss
Answer:
the answer is a or c help it help it helps
2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1
Answer:
2p^2-p + 5/2
Step-by-step explanation:
Here, we want to use long division method
Please check attachment for the long division process
According to the long division, the answer is
2p^2-p + 5/2
To check the answer, we multiply the binomial by the result of the division
That will be;
(2p-1)(2p^2-p + 5/2)
= 4p^3-2p^2+5p-2p^2+p-5/2
= 4p^3-2p^2-2p^2+5p+p-5/2
= 4p^3-4p^2+ 6p - 5/2
we then conclude that our answer is correct
After the video game store, Larry goes to the music store online and downloads four new songs to his phone for $3.99 each. If tax is 7%, how much does he spend in all?
Answer:
Larry spends $22.96 total with the tax
I'm not sure if this is correct of not
find the slope from this graph
Answer:
m (slope) = 664
Step-by-step explanation:
Formula:
m (slope) = y1-y2/x1-x2
m = 16570 - 21226 / 1982 - 1986
= -4,656 / -4
= 664
the question is in the pic
Answer:
d the bottom one
Step-by-step explanation:
both are a right angle and are the exact same shape
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Answer: gtne
Step-by-step explanation:
Marking brainliest.
Answer:
UV
Step-by-step explanation:
That's the only one make sense
i dont know plz help
A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
1. What is the slope of a line that is perpendicular to the x-axis
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
We also know a line that is perpendicular to the x-axis is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞