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viktelen [127]
3 years ago
12

What is the vertex of the graph of y = 5(x + 4)2 + 3?

Mathematics
2 answers:
pychu [463]3 years ago
6 0
The vertex form: y = a(x - h)² + k

(h; k) - coordinates of the vertex

Therefore:

y = 5(x + 4)² + 3
vertex: (-4; 3)

Answer: A: -4, 3
vovikov84 [41]3 years ago
4 0
A: -4,3 The x coordinate of the vertex is given by x = -b/2a and the y coordinate of the vertex is given by y= f( -b/2a), we need to transform the equation to the form ax^2 + bx + c We have: 5(x+4)^2+3 = 5x^2+ 20x + 23 Then we substitute x= -20/2*5 y= f(-20/2*5) = -4 = f(-4) =3 So V(-4,3)
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Suppose EG=3​, EB=8​, A(F)=7​, m∠EBG=23​, m∠EGF=32​, and m∠CAE=51. Find m∠CAF.
ASHA 777 [7]

Answer:

m∠CAF is 28°

Step-by-step explanation:

The given parameters are;

EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°

From the diagram, we have;

m∠EBG = m∠EAD ;                {}                                    Given

Therefore, m∠EAD = 23°  

m∠CAE = m∠CAF + m∠EAD {}                                     Angle addition postulate

Therefore, we have;

51° = m∠CAF + 23° {}                        

m∠CAF = 51° - 23°                            {}              

m∠CAF = 28°

8 0
3 years ago
a circus performer walks on a tightrope 25 feet above the ground. the tightrope is supported by two beams and two support cables
igomit [66]
Check the picture below.

and surely you know how much that is.

8 0
3 years ago
Please answer this correctly
GREYUIT [131]

Answer:

$8.82

Step-by-step explanation:

4.6 (1.15) + 0.5 (1.12) + 2.25 (1.32)

5.29 + 0.56 + 2.97

8.82

8 0
3 years ago
Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 5 times the distance
guajiro [1.7K]
Distance from P to the x-axis = 2x distance from P to the yz-plane 

<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>

<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
6 0
3 years ago
How do you simplify expressions with rational exponents
Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
2 years ago
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