What is the solution of the system of equations?

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Answer:

x= 1 and y= -1

Step-by-step explanation:

I'm pretty sure it is the just substitution method that you need for this, which is how I solved it and I am confident.

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Can some one please help me will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.

7 0

3 years ago

Read 2 more answers

In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.

ycow [4]

Answer:

84°

Step-by-step explanation:

∠VTY is the tangent chord angle

Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

Inscribed angle is the half of the intercepted arc

Since both of the mentioned angles refer to same arc, they are of same value.

∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

m∠T = m∠V = 48°

The measure of angle S

m∠S = 180° - 2*48° = 84°

The required angle

m∠VTY = 84°

4 0

3 years ago

Read 2 more answers

Which of the following is an example of an exponential function?

Orlov [11]

Answer: Choice D $p(\text{x}) = 500(1.02)^{\text{x}}$

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say $p(\text{x}) = 500(1.02)^{\text{x}}$ instead of $p(\text{x}) = 500(1.02){\text{x}}$