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4 years ago

Please help me with this

Mathematics

1 answer:

Pani-rosa [81]4 years ago

8 0

the answer you are looking for is B. 16

this is because if you round 7.89 to 8, and 21.25 to 21 then add 21 and 8

you would get 29

round 45.12 to 45

subtract 29 from 45

45 - 29

you would get 16

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What are the steps to solve the quadratic equation x^2+4x-6=0

makvit [3.9K]

$METHOD\ 1:\\\\Use:\\\\(*)\qquad(a+b)^2=a^2+2ab+b^2\\---------------------\\\\x^2+4x-6=0\qquad\text{add 6 to both sides}\\\\x^2+4x=6\\\\x^2+2(x)(2)=6\qquad\text{add}\ 2^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(2)+2^2}_{(*)}=6+2^2\\\\(x+2)^2=6+4\\\\(x+2)^2=10\Rightarrow x+2=\pm\sqrt{10}\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2-\sqrt{10}\ \vee\ x=-2+\sqrt{10}}$

$METHOD\ 2:\\\\\text{use the quadratic formula:}\\\\ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta>0,\ \text{the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\if\ \Delta=0,\ \text{then the equation has one solution:}\ x=\dfrac{-b}{2a}\\\\if\ \Delta$

$x^2+4x-6=0\\\\a=1,\ b=4,\ c=-6\\\\\Delta=4^2-4(1)(-6)=16+24=40>0\\\\\sqrt\Delta=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}\\\\x_1=\dfrac{-4-2\sqrt{10}}{2(1)}=\dfrac{-4}{2}-\dfrac{2\sqrt{10}}{2}=-2-\sqrt{10}\\\\x_2=\dfrac{-4+2\sqrt{10}}{2(1)}=\dfrac{-4}{2}+\dfrac{2\sqrt{10}}{2}=-2+\sqrt{10}$

7 0

3 years ago

Two numbers multiply to be -100 and add to 0

ipn [44]

Well, +10 and -10 can do that job.

6 0

3 years ago

Susan throws a softball upward into the air at a speed of 32 feet per second from a 88 dash foot88-foot platform. the distance u

Rudiy27

D(t)=-16t²+32t+88
a] Maximum height
At maximum height d'(t)=0
from d(t);
d'(t)=-32t+32=0
thus
t=1
hence the maximum height will be:
d(t)=-16t²+32t+88
d(1)=-16(1)^2+32(1)+88
d(1)=104 ft

2] how many seconds does it take to reach the ground after first being thrown upward?
Here we solve for t intercept
when d(t)=0
thus
0=-16t²+32t+88
solving for t, we get:
t=1-√13/2
or
t=1+√13/2

t=-1.55 or t=3.55 sec
Thus the answer is t=3.55 sec

3 0

3 years ago

What point is plotted on the graph? (9, 8) (9, 9) (8, 8) (8, 9)

zhannawk [14.2K]

Answer:

It'd help to show the graph but, count out how far it goes right, than count up how far it goes up, the first number is x, the second number is y

Step-by-step explanation:

6 0

3 years ago

Plz fast solve it and It should be right

ohaa [14]

9514 1404 393

Answer:

(i) ∠CDF = 86°

(ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

∠CDF = 86°

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

∠CDA = ∠CDH +∠HDA = 94° +47°

∠CDA = 141°

5 0

3 years ago