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3 years ago

Need help here, please.

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2+4x+5

We need to find the vertex of the above equation.

The above equation represents the parabola.

The slope of parabola can be found by taking derivative of the given equation

dy/dx = 2x+4

The slope of the parabola at the vertex is zero SO,

2x+4 = 0

2x = -4

x = -4/2

x = -2

Putting value of x =-2 to find the value of y

y = x^2+4x+5

y =(-2)^2+4(-2)+5

y = 4-8+5

y =9-8

y = 1

So, the vertex is (-2,1)

Option C is correct.

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300 reduced by 3 times x is 33

Wewaii [24]

300-3x=33

Subtract 300 on both sides.

-3x=-273

Divide both sides by -3.

x=91

I hope this helps!
~kaikers

4 0

3 years ago

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

7 0

3 years ago

Read 2 more answers

HELP WITH VOLUME AND SURFACE AREA!!!!!! WILL MARK BRAINLIEST!!!!!

ArbitrLikvidat [17]

Answer:

Volume is 48 yards cubed

surface area is 96 yards squared

4 0

3 years ago

If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of

Oksi-84 [34.3K]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=\stackrel{r\times 3}{3r}
\end{cases}\implies A=\pi (3r)^2
\\\\\\
A=\pi (3^2r^2)\implies A=9(\pi r^2)$

notice, if the original area was πr², then the new area has a factor in front of it, that much.

8 0

3 years ago

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aivan3 [116]

Again using the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:

34^2=16^2+y^2

y^2=34^2-16^2

y^2=1156-256

y^2=900

y=√900

y=30 ft

So the ladder will reach a spot 30 feet high on the building.

8 0

3 years ago